id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1808.04061 | Peter Kazinski | P.O. Kazinski | Ultraviolet asymptotics of particle creation with respect to a
congruence of observers | 25 pages; some elucidations added; slightly different regularization
used in Sec. II | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The construction of quantum field theory (QFT) of a free massive scalar field
with respect to a general congruence of observers is considered, the splitting
into positive- and negative-frequency modes being defined by diagonalization of
the instantaneous Hamiltonian. The explicit expression for the ultraviolet
asymptotics of the average number of particles created from the vacuum is
found. It is shown that, for a general congruence of observers in the
$D$-dimensional spacetime with $D\geqslant3$, the total number of created
particles diverges in the ultraviolet domain in the regularization removal
limit. This holds even in the Minkowski spacetime. Therefore, in this case, the
quantum evolution is not unitary in the regularization removal limit. It is
proved that not all classically admissible congruences of observers are proper
on a quantum level. Namely, unitarity of QFT with respect to a congruence of
observers is violated when the equal time hypersurfaces of this congruence are
not spacelike, even for a theory with a finite cutoff. The implications of
these results are discussed.
| [
{
"created": "Mon, 13 Aug 2018 04:28:20 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Dec 2018 17:13:02 GMT",
"version": "v2"
},
{
"created": "Wed, 12 Dec 2018 03:35:06 GMT",
"version": "v3"
}
] | 2018-12-13 | [
[
"Kazinski",
"P. O.",
""
]
] | The construction of quantum field theory (QFT) of a free massive scalar field with respect to a general congruence of observers is considered, the splitting into positive- and negative-frequency modes being defined by diagonalization of the instantaneous Hamiltonian. The explicit expression for the ultraviolet asymptotics of the average number of particles created from the vacuum is found. It is shown that, for a general congruence of observers in the $D$-dimensional spacetime with $D\geqslant3$, the total number of created particles diverges in the ultraviolet domain in the regularization removal limit. This holds even in the Minkowski spacetime. Therefore, in this case, the quantum evolution is not unitary in the regularization removal limit. It is proved that not all classically admissible congruences of observers are proper on a quantum level. Namely, unitarity of QFT with respect to a congruence of observers is violated when the equal time hypersurfaces of this congruence are not spacelike, even for a theory with a finite cutoff. The implications of these results are discussed. |
2006.09193 | Mohammad R. Garousi | Mohammad R. Garousi | Minimal gauge invariant couplings at order $\alpha'^3$: NS-NS fields | 28 pages, Latex file, no figure. arXiv admin note: text overlap with
arXiv:1905.10800 | null | 10.1140/epjc/s10052-020-08662-9 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Removing the field redefinitions, the Bianchi identities and the total
derivative freedoms from the general form of gauge invariant NS-NS couplings at
order $\alpha'^3$, we have found that the minimum number of independent
couplings is 872. We find that there are schemes in which there is no term with
structures $R,\,R_{\mu\nu},\,\nabla_\mu H^{\mu\alpha\beta}$, $
\nabla_\mu\nabla^\mu\Phi$. In these schemes, there are sub-schemes in which,
except one term, the couplings can have no term with more than two derivatives.
In the sub-scheme that we have chosen, the 872 couplings appear in 55 different
structures. We fix some of the parameters in type II supersting theory by its
corresponding four-point functions. The coupling which has term with more than
two derivatives is constraint to be zero by the four-point functions.
| [
{
"created": "Mon, 15 Jun 2020 10:35:55 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Sep 2020 10:13:52 GMT",
"version": "v2"
}
] | 2020-12-30 | [
[
"Garousi",
"Mohammad R.",
""
]
] | Removing the field redefinitions, the Bianchi identities and the total derivative freedoms from the general form of gauge invariant NS-NS couplings at order $\alpha'^3$, we have found that the minimum number of independent couplings is 872. We find that there are schemes in which there is no term with structures $R,\,R_{\mu\nu},\,\nabla_\mu H^{\mu\alpha\beta}$, $ \nabla_\mu\nabla^\mu\Phi$. In these schemes, there are sub-schemes in which, except one term, the couplings can have no term with more than two derivatives. In the sub-scheme that we have chosen, the 872 couplings appear in 55 different structures. We fix some of the parameters in type II supersting theory by its corresponding four-point functions. The coupling which has term with more than two derivatives is constraint to be zero by the four-point functions. |
1212.2115 | Daniel Kabat | Brian Greene, Daniel Kabat, Stefanos Marnerides | On three dimensions as the preferred dimensionality of space via the
Brandenberger-Vafa mechanism | 20 pages, 4 figures. v2: additional references, various improvements
for clarity. v3: more improvements, version to appear in PRD | null | 10.1103/PhysRevD.88.043527 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In previous work it was shown that, in accord with the Brandenberger-Vafa
mechanism, three is the maximum number of spatial dimensions that can grow
large cosmologically from an initial thermal fluctuation. Here we complement
that work by considering the possibility of successive fluctuations. Suppose an
initial fluctuation causes at least one dimension to grow, and suppose
successive fluctuations occur on timescales of order alpha'^{1/2}. If the
string coupling is sufficiently large, we show that such fluctuations are
likely to push a three-dimensional subspace to large volume where winding modes
annihilate. In this setting three is the preferred number of large dimensions.
Although encouraging, a more careful study of the dynamics and statistics of
fluctuations is needed to assess the likelihood of our assumptions.
| [
{
"created": "Mon, 10 Dec 2012 16:14:15 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Jun 2013 01:24:53 GMT",
"version": "v2"
},
{
"created": "Thu, 22 Aug 2013 22:04:39 GMT",
"version": "v3"
}
] | 2013-09-04 | [
[
"Greene",
"Brian",
""
],
[
"Kabat",
"Daniel",
""
],
[
"Marnerides",
"Stefanos",
""
]
] | In previous work it was shown that, in accord with the Brandenberger-Vafa mechanism, three is the maximum number of spatial dimensions that can grow large cosmologically from an initial thermal fluctuation. Here we complement that work by considering the possibility of successive fluctuations. Suppose an initial fluctuation causes at least one dimension to grow, and suppose successive fluctuations occur on timescales of order alpha'^{1/2}. If the string coupling is sufficiently large, we show that such fluctuations are likely to push a three-dimensional subspace to large volume where winding modes annihilate. In this setting three is the preferred number of large dimensions. Although encouraging, a more careful study of the dynamics and statistics of fluctuations is needed to assess the likelihood of our assumptions. |
2012.03802 | Sitender Kashyap | Sitender Pratap Kashyap | Two-Point Superstring Tree Amplitudes Using the Pure Spinor Formalism | added some references | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We provide a prescription for computing two-point tree amplitudes in the pure
spinor formalism that are finite and agree with the corresponding expression in
the field theories. In [arXiv:1906.06051v1-arXiv:1909.03672v3], same results
were presented for bosonic strings and it was mentioned they can be generalized
to superstrings. The pure spinor formalism is a successful super-Poincare
covariant approach to quantization of superstrings [arXiv:hep-th/0001035v2].
Because the pure spinor formalism is equivalent to other superstring
formalisms, we explicitly verify the above claim. We introduce a mostly BRST
exact operator in order to achieve this.
| [
{
"created": "Mon, 7 Dec 2020 15:43:27 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Nov 2023 06:37:44 GMT",
"version": "v2"
},
{
"created": "Wed, 15 Nov 2023 06:35:41 GMT",
"version": "v3"
}
] | 2023-11-16 | [
[
"Kashyap",
"Sitender Pratap",
""
]
] | We provide a prescription for computing two-point tree amplitudes in the pure spinor formalism that are finite and agree with the corresponding expression in the field theories. In [arXiv:1906.06051v1-arXiv:1909.03672v3], same results were presented for bosonic strings and it was mentioned they can be generalized to superstrings. The pure spinor formalism is a successful super-Poincare covariant approach to quantization of superstrings [arXiv:hep-th/0001035v2]. Because the pure spinor formalism is equivalent to other superstring formalisms, we explicitly verify the above claim. We introduce a mostly BRST exact operator in order to achieve this. |
hep-th/0107110 | Miguel A. Vazquez-Mozo | J. Nishimura and M.A. Vazquez-Mozo | Noncommutative Chiral Gauge Theories on the Lattice with Manifest
Star-Gauge Invariance | 23 pages, 1 figure. LaTeX, epsf. v3: Reference added and typos
corrected. Final version published in Journal of High Energy Physics | JHEP 0108 (2001) 033 | 10.1088/1126-6708/2001/08/033 | null | hep-th hep-lat | null | We show that noncommutative U(r) gauge theories with a chiral fermion in the
adjoint representation can be constructed on the lattice with manifest
star-gauge invariance in arbitrary even dimensions. Chiral fermions are
implemented using a Dirac operator which satisfies the Ginsparg-Wilson
relation. A gauge-invariant integration measure for the fermion fields can be
given explicitly, which simplifies the construction as compared with lattice
chiral gauge theories in ordinary (commutative) space-time. Our construction
includes the cases where continuum calculations yield a gauge anomaly. This
reveals a certain regularization dependence, which is reminiscent of parity
anomaly in commutative space-time with odd dimensions. We speculate that the
gauge anomaly obtained in the continuum calculations in the present cases can
be cancelled by an appropriate counterterm.
| [
{
"created": "Thu, 12 Jul 2001 17:14:58 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Jul 2001 10:43:47 GMT",
"version": "v2"
},
{
"created": "Thu, 13 Sep 2001 13:57:27 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Nishimura",
"J.",
""
],
[
"Vazquez-Mozo",
"M. A.",
""
]
] | We show that noncommutative U(r) gauge theories with a chiral fermion in the adjoint representation can be constructed on the lattice with manifest star-gauge invariance in arbitrary even dimensions. Chiral fermions are implemented using a Dirac operator which satisfies the Ginsparg-Wilson relation. A gauge-invariant integration measure for the fermion fields can be given explicitly, which simplifies the construction as compared with lattice chiral gauge theories in ordinary (commutative) space-time. Our construction includes the cases where continuum calculations yield a gauge anomaly. This reveals a certain regularization dependence, which is reminiscent of parity anomaly in commutative space-time with odd dimensions. We speculate that the gauge anomaly obtained in the continuum calculations in the present cases can be cancelled by an appropriate counterterm. |
1905.05768 | Ignacio A. Reyes | Pascal Fries and Ignacio A. Reyes | The entanglement spectrum of chiral fermions on the torus | Several minor changes done in order to improve readability. Accepted
for publication in PRL | Phys. Rev. Lett. 123, 211603 (2019) | 10.1103/PhysRevLett.123.211603 | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We determine the reduced density matrix of chiral fermions on the torus, for
an arbitrary set of disjoint intervals and generic torus modulus. We find the
resolvent, which yields the modular Hamiltonian in each spin sector. Together
with a local term, it involves an infinite series of bi-local couplings, even
for a single interval. These accumulate near the endpoints, where they become
increasingly redshifted. Remarkably, in the presence of a zero mode, this set
of points 'condenses' within the interval at low temperatures, yielding
continuous non-locality.
| [
{
"created": "Tue, 14 May 2019 18:00:01 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Oct 2019 20:54:31 GMT",
"version": "v2"
}
] | 2019-11-27 | [
[
"Fries",
"Pascal",
""
],
[
"Reyes",
"Ignacio A.",
""
]
] | We determine the reduced density matrix of chiral fermions on the torus, for an arbitrary set of disjoint intervals and generic torus modulus. We find the resolvent, which yields the modular Hamiltonian in each spin sector. Together with a local term, it involves an infinite series of bi-local couplings, even for a single interval. These accumulate near the endpoints, where they become increasingly redshifted. Remarkably, in the presence of a zero mode, this set of points 'condenses' within the interval at low temperatures, yielding continuous non-locality. |
1311.5607 | Masanori Hanada | Masanori Hanada, Yoshifumi Hyakutake, Goro Ishiki and Jun Nishimura | Holographic description of quantum black hole on a computer | 14 pages, 5 figures | null | 10.1126/science.1250122 | YITP-13-96, KEK-TH-1686 | hep-th gr-qc hep-lat hep-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The discovery of the fact that black holes radiate particles and eventually
evaporate led Hawking to pose the well-known information loss paradox. This
paradox caused a long and serious debate since it claims that the fundamental
laws of quantum mechanics may be violated. A possible cure appeared recently
from superstring theory, a consistent theory of quantum gravity: if the
holographic description of a quantum black hole based on the gauge/gravity
duality is correct, the information is not lost and quantum mechanics remains
valid. Here we test this gauge/gravity duality on a computer at the level of
quantum gravity for the first time. The black hole mass obtained by Monte Carlo
simulation of the dual gauge theory reproduces precisely the quantum gravity
effects in an evaporating black hole. This result opens up totally new
perspectives towards quantum gravity since one can simulate quantum black holes
through dual gauge theories.
| [
{
"created": "Thu, 21 Nov 2013 22:46:19 GMT",
"version": "v1"
}
] | 2015-10-01 | [
[
"Hanada",
"Masanori",
""
],
[
"Hyakutake",
"Yoshifumi",
""
],
[
"Ishiki",
"Goro",
""
],
[
"Nishimura",
"Jun",
""
]
] | The discovery of the fact that black holes radiate particles and eventually evaporate led Hawking to pose the well-known information loss paradox. This paradox caused a long and serious debate since it claims that the fundamental laws of quantum mechanics may be violated. A possible cure appeared recently from superstring theory, a consistent theory of quantum gravity: if the holographic description of a quantum black hole based on the gauge/gravity duality is correct, the information is not lost and quantum mechanics remains valid. Here we test this gauge/gravity duality on a computer at the level of quantum gravity for the first time. The black hole mass obtained by Monte Carlo simulation of the dual gauge theory reproduces precisely the quantum gravity effects in an evaporating black hole. This result opens up totally new perspectives towards quantum gravity since one can simulate quantum black holes through dual gauge theories. |
2402.00613 | Andrea Zanetti | Antonio Amariti and Andrea Zanetti | A double scaling for the 4d/3d reduction of $\mathcal{N}=1$ dualities | 36 pages, 1 Figure; reference added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we revisit the $S^1$ reduction of 4d $\mathcal{N}=1$ gauge
theories, considering a double scaling on the radius of the circle and on the
real masses arising from the global symmetries in the compactification. We
discuss the implication of this double scaling for SQCD with gauge algebra of
ABCD type. We then show how our prescription translates in the reduction of the
4d superconformal index to the 3d squashed three sphere partition function.
This allows us to derive the expected integral identities for the 3d dualities
directly from the four dimensional ones. This is relevant for the study of
orthogonal SQCD, where the derivation from the 4d index is not possible in
absence of the double scaling, because of a divergence due to a flat direction
in the Coulomb branch of the effective theory on the circle. Furthermore, we
obtain, for the even orthogonal case, a 3d duality with a quadratic fundamental
monopole superpotential already discussed in the literature, that receives in
this way an explanation from 4d.
| [
{
"created": "Thu, 1 Feb 2024 14:15:20 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Apr 2024 16:06:17 GMT",
"version": "v2"
}
] | 2024-04-04 | [
[
"Amariti",
"Antonio",
""
],
[
"Zanetti",
"Andrea",
""
]
] | In this paper we revisit the $S^1$ reduction of 4d $\mathcal{N}=1$ gauge theories, considering a double scaling on the radius of the circle and on the real masses arising from the global symmetries in the compactification. We discuss the implication of this double scaling for SQCD with gauge algebra of ABCD type. We then show how our prescription translates in the reduction of the 4d superconformal index to the 3d squashed three sphere partition function. This allows us to derive the expected integral identities for the 3d dualities directly from the four dimensional ones. This is relevant for the study of orthogonal SQCD, where the derivation from the 4d index is not possible in absence of the double scaling, because of a divergence due to a flat direction in the Coulomb branch of the effective theory on the circle. Furthermore, we obtain, for the even orthogonal case, a 3d duality with a quadratic fundamental monopole superpotential already discussed in the literature, that receives in this way an explanation from 4d. |
2005.12356 | Jesse Daas | Jesse Daas, Wouter Oosters, Frank Saueressig, Jian Wang | Asymptotically Safe Gravity with Fermions | 9 pages, 3 figures. Matches published version. Also fixes typos in
the fixed point data given in the PLB version. Conclusions unchanged | null | 10.1016/j.physletb.2020.135775 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use the functional renormalization group equation for the effective
average action to study the fixed point structure of gravity-fermion systems on
a curved background spacetime. We approximate the effective average action by
the Einstein-Hilbert action supplemented by a fermion kinetic term and a
coupling of the fermion bilinears to the spacetime curvature. The latter
interaction is singled out based on a "smart truncation building principle".
The resulting renormalization group flow possesses two families of interacting
renormalization group fixed points extending to any number of fermions. The
first family exhibits an upper bound on the number of fermions for which the
fixed points could provide a phenomenologically interesting high-energy
completion via the asymptotic safety mechanism. The second family comes without
such a bound. The inclusion of the non-minimal gravity-matter interaction is
crucial for discriminating the two families. Our work also clarifies the origin
of the strong regulator-dependence of the fixed point structure reported in
earlier literature and we comment on the relation of our findings to studies of
the same system based on a vertex expansion of the effective average action
around a flat background spacetime.
| [
{
"created": "Mon, 25 May 2020 19:26:40 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Oct 2020 11:09:11 GMT",
"version": "v2"
}
] | 2020-10-06 | [
[
"Daas",
"Jesse",
""
],
[
"Oosters",
"Wouter",
""
],
[
"Saueressig",
"Frank",
""
],
[
"Wang",
"Jian",
""
]
] | We use the functional renormalization group equation for the effective average action to study the fixed point structure of gravity-fermion systems on a curved background spacetime. We approximate the effective average action by the Einstein-Hilbert action supplemented by a fermion kinetic term and a coupling of the fermion bilinears to the spacetime curvature. The latter interaction is singled out based on a "smart truncation building principle". The resulting renormalization group flow possesses two families of interacting renormalization group fixed points extending to any number of fermions. The first family exhibits an upper bound on the number of fermions for which the fixed points could provide a phenomenologically interesting high-energy completion via the asymptotic safety mechanism. The second family comes without such a bound. The inclusion of the non-minimal gravity-matter interaction is crucial for discriminating the two families. Our work also clarifies the origin of the strong regulator-dependence of the fixed point structure reported in earlier literature and we comment on the relation of our findings to studies of the same system based on a vertex expansion of the effective average action around a flat background spacetime. |
1112.5620 | Euihun Joung | Euihun Joung and Jihad Mourad | Boundary action of free AdS higher-spin gauge fields and the holographic
correspondence | Version to appear in JHEP | null | 10.1007/JHEP06(2012)161 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We determine the boundary terms of the free higher-spin action which
reproduce the AdS Fronsdal equations in an AdS manifold with a finite distance
boundary. The boundary terms are further constrained by the gauge invariance of
the total action. We show that, for spins larger than two, no local boundary
term can restore the full gauge symmetry, and the broken symmetry corresponds
to higher-spin Weyl transformations on the boundary CFT. The boundary action is
used for the evaluation of the on-shell higher-spin AdS action in terms of the
boundary data given by a conformal higher-spin field.
| [
{
"created": "Fri, 23 Dec 2011 17:24:57 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Jan 2012 09:59:01 GMT",
"version": "v2"
},
{
"created": "Tue, 12 Jun 2012 06:53:28 GMT",
"version": "v3"
}
] | 2015-06-03 | [
[
"Joung",
"Euihun",
""
],
[
"Mourad",
"Jihad",
""
]
] | We determine the boundary terms of the free higher-spin action which reproduce the AdS Fronsdal equations in an AdS manifold with a finite distance boundary. The boundary terms are further constrained by the gauge invariance of the total action. We show that, for spins larger than two, no local boundary term can restore the full gauge symmetry, and the broken symmetry corresponds to higher-spin Weyl transformations on the boundary CFT. The boundary action is used for the evaluation of the on-shell higher-spin AdS action in terms of the boundary data given by a conformal higher-spin field. |
0810.3885 | J. R. S. Nascimento | K. Bakke, L. R. Ribeiro, C. Furtado and J. R. Nascimento | Landau quantization for a neutral particle in presence of topological
defects | 14 pages | Phys.Rev.D79:024008,2009 | 10.1103/PhysRevD.79.024008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we study the Landau levels in the non-relativistic dynamics of
a neutral particle which possesses a permanent magnetic dipole moment
interacting with an external electric field in the curved spacetime background
with the presence or absence of a torsion field. The eigenfunction and
eigenvalues of Hamiltonian are obtained. We show that the presence of the
topological defect breaks the infinite degeneracy of the Landau levels arising
in this system. We also apply a duality transformation to discuss this same
quantization for a dynamics of a neutral particle with a permanent electric
dipole moment.
| [
{
"created": "Tue, 21 Oct 2008 17:47:09 GMT",
"version": "v1"
}
] | 2009-01-21 | [
[
"Bakke",
"K.",
""
],
[
"Ribeiro",
"L. R.",
""
],
[
"Furtado",
"C.",
""
],
[
"Nascimento",
"J. R.",
""
]
] | In this paper we study the Landau levels in the non-relativistic dynamics of a neutral particle which possesses a permanent magnetic dipole moment interacting with an external electric field in the curved spacetime background with the presence or absence of a torsion field. The eigenfunction and eigenvalues of Hamiltonian are obtained. We show that the presence of the topological defect breaks the infinite degeneracy of the Landau levels arising in this system. We also apply a duality transformation to discuss this same quantization for a dynamics of a neutral particle with a permanent electric dipole moment. |
0706.2253 | Rainer Heise | Rainer Heise, Harald G Svendsen | A note on fermions in holographic QCD | 21+1 pp, 1 figure; v2: typos corrected, refs. added | JHEP 0708:065,2007 | 10.1088/1126-6708/2007/08/065 | AEI-2007-010 | hep-th | null | We study the fermionic sector of a probe D8-brane in the supergravity
background made of D4-branes compactified on a circle with supersymmetry broken
explicitly by the boundary conditions. At low energies the dual field theory is
effectively four-dimensional and has proved surprisingly successful in
recovering qualitative and quantitative properties of QCD. We investigate
fluctuations of the fermionic fields on the probe D8-brane and interpret these
as mesinos (fermionic superpartners of mesons). We demonstrate that the masses
of these modes are comparable to meson masses and show that their interactions
with ordinary mesons are not suppressed.
| [
{
"created": "Fri, 15 Jun 2007 09:58:23 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Jun 2007 12:27:15 GMT",
"version": "v2"
}
] | 2009-11-18 | [
[
"Heise",
"Rainer",
""
],
[
"Svendsen",
"Harald G",
""
]
] | We study the fermionic sector of a probe D8-brane in the supergravity background made of D4-branes compactified on a circle with supersymmetry broken explicitly by the boundary conditions. At low energies the dual field theory is effectively four-dimensional and has proved surprisingly successful in recovering qualitative and quantitative properties of QCD. We investigate fluctuations of the fermionic fields on the probe D8-brane and interpret these as mesinos (fermionic superpartners of mesons). We demonstrate that the masses of these modes are comparable to meson masses and show that their interactions with ordinary mesons are not suppressed. |
hep-th/0312295 | Seif Randjbar-Daemi | S. Randjbar-Daemi | Abrikosov Vortex and Branes | To appear in a volume in honour of A.P.Balchandran in occasion of his
65th birthday. Spelling of the name in the title and some other typos
corrected | Mod.Phys.Lett. A18 (2003) 2459-2466 | 10.1142/S0217732303012696 | null | hep-th | null | We give a brief review of the application of some topological solutions in
field theory.
| [
{
"created": "Fri, 26 Dec 2003 21:41:03 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Aug 2004 14:48:54 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Randjbar-Daemi",
"S.",
""
]
] | We give a brief review of the application of some topological solutions in field theory. |
1608.01634 | Brenda Penante | Brenda Penante | On-shell methods for off-shell quantities in N=4 Super Yang-Mills: from
scattering amplitudes to form factors and the dilatation operator | 206 pages, PhD thesis, references accounted for until 10/04/16
(submission date) | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Planar maximally supersymmetric Yang-Mills theory (N=4 SYM) is a special
quantum field theory. A few of its remarkable features are conformal symmetry
at the quantum level, evidence of integrability and, moreover, it is a prime
example of the AdS/CFT duality. Triggered by Witten's twistor string theory,
the past 15 years have witnessed enormous progress in reformulating this theory
to make as many of these special features manifest, from the choice of
convenient variables to recursion relations that allowed new mathematical
structures to appear, like the Grassmannian. These methods are collectively
referred to as on-shell methods. The ultimate hope is that, by understanding
N=4 SYM in depth, one can learn about other, more realistic quantum field
theories. The overarching theme of this thesis is the investigation of how
on-shell methods can aid the computation of quantities other than scattering
amplitudes. In this spirit we study form factors and correlation functions,
said to be partially and completely off-shell quantities, respectively. More
explicitly, we compute form factors of half-BPS operators up to two loops, and
study the dilatation operator in the SO(6) and SU(2|3) sectors using techniques
originally designed for amplitudes. A second part of the work is dedicated to
the study of scattering amplitudes beyond the planar limit, an area of research
which is still in its infancy, and not much is known about which special
features of the planar theory survive in the non-planar regime. In this
context, we generalise some aspects of the on-shell diagram formulation of
Arkani-Hamed et al. to take into account non-planar corrections.
| [
{
"created": "Thu, 4 Aug 2016 18:20:06 GMT",
"version": "v1"
}
] | 2016-08-05 | [
[
"Penante",
"Brenda",
""
]
] | Planar maximally supersymmetric Yang-Mills theory (N=4 SYM) is a special quantum field theory. A few of its remarkable features are conformal symmetry at the quantum level, evidence of integrability and, moreover, it is a prime example of the AdS/CFT duality. Triggered by Witten's twistor string theory, the past 15 years have witnessed enormous progress in reformulating this theory to make as many of these special features manifest, from the choice of convenient variables to recursion relations that allowed new mathematical structures to appear, like the Grassmannian. These methods are collectively referred to as on-shell methods. The ultimate hope is that, by understanding N=4 SYM in depth, one can learn about other, more realistic quantum field theories. The overarching theme of this thesis is the investigation of how on-shell methods can aid the computation of quantities other than scattering amplitudes. In this spirit we study form factors and correlation functions, said to be partially and completely off-shell quantities, respectively. More explicitly, we compute form factors of half-BPS operators up to two loops, and study the dilatation operator in the SO(6) and SU(2|3) sectors using techniques originally designed for amplitudes. A second part of the work is dedicated to the study of scattering amplitudes beyond the planar limit, an area of research which is still in its infancy, and not much is known about which special features of the planar theory survive in the non-planar regime. In this context, we generalise some aspects of the on-shell diagram formulation of Arkani-Hamed et al. to take into account non-planar corrections. |
1808.02259 | Nissan Itzhaki | Nissan Itzhaki | Stringy instability inside the black hole | null | null | 10.1007/JHEP10(2018)145 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that negative $(\nabla \Phi)^2$, where $\Phi$ is the dilaton, leads
to a rapid creation of folded strings. Consequently it appears that the
interior of the $SL(2,\mathbb{R})_k/U(1)$ black hole is not empty, but is
filled with folded strings.
| [
{
"created": "Tue, 7 Aug 2018 08:47:36 GMT",
"version": "v1"
}
] | 2018-11-14 | [
[
"Itzhaki",
"Nissan",
""
]
] | We show that negative $(\nabla \Phi)^2$, where $\Phi$ is the dilaton, leads to a rapid creation of folded strings. Consequently it appears that the interior of the $SL(2,\mathbb{R})_k/U(1)$ black hole is not empty, but is filled with folded strings. |
2302.14292 | V\'ictor Fern\'andez | V\'ictor E. Fern\'andez | One-loop corrections to the celestial chiral algebra from Koszul Duality | 15 pages, 8 figures; v2: corrected typos, added references, added an
additional appendix, JHEP published version | null | 10.1007/JHEP04(2023)124 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider self-dual Yang-Mills theory (SDYM) in four dimensions and its
lift to holomorphic BF theory on twistor space. Following the work of Costello
and Paquette, we couple SDYM to a quartic axion field, which guarantees
associativity of the (extended) celestial chiral algebra at the quantum level.
We demonstrate how to reproduce their one-loop quantum deformation to the
chiral algebra using Koszul duality.
| [
{
"created": "Tue, 28 Feb 2023 03:51:59 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Apr 2023 00:02:26 GMT",
"version": "v2"
}
] | 2023-04-28 | [
[
"Fernández",
"Víctor E.",
""
]
] | We consider self-dual Yang-Mills theory (SDYM) in four dimensions and its lift to holomorphic BF theory on twistor space. Following the work of Costello and Paquette, we couple SDYM to a quartic axion field, which guarantees associativity of the (extended) celestial chiral algebra at the quantum level. We demonstrate how to reproduce their one-loop quantum deformation to the chiral algebra using Koszul duality. |
hep-th/0202188 | Jan Martin Pawlowski | Daniel F. Litim, Jan M. Pawlowski | Completeness and consistency of renormalisation group flows | 33 pages, 15 figures, revtex, typos corrected, to be published in
Phys.Rev.D | Phys.Rev. D66 (2002) 025030 | 10.1103/PhysRevD.66.025030 | CERN-TH-2002-45, FAU-TP3-02-05 | hep-th hep-ph | null | We study different renormalisation group flows for scale dependent effective
actions, including exact and proper-time renormalisation group flows. These
flows have a simple one loop structure. They differ in their dependence on the
full field-dependent propagator, which is linear for exact flows. We
investigate the inherent approximations of flows with a non-linear dependence
on the propagator. We check explicitly that standard perturbation theory is not
reproduced. We explain the origin of the discrepancy by providing links to
exact flows both in closed expressions and in given approximations. We show
that proper-time flows are approximations to Callan-Symanzik flows. Within a
background field formalism, we provide a generalised proper-time flow, which is
exact. Implications of these findings are discussed.
| [
{
"created": "Wed, 27 Feb 2002 18:06:42 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Jul 2002 12:56:58 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Litim",
"Daniel F.",
""
],
[
"Pawlowski",
"Jan M.",
""
]
] | We study different renormalisation group flows for scale dependent effective actions, including exact and proper-time renormalisation group flows. These flows have a simple one loop structure. They differ in their dependence on the full field-dependent propagator, which is linear for exact flows. We investigate the inherent approximations of flows with a non-linear dependence on the propagator. We check explicitly that standard perturbation theory is not reproduced. We explain the origin of the discrepancy by providing links to exact flows both in closed expressions and in given approximations. We show that proper-time flows are approximations to Callan-Symanzik flows. Within a background field formalism, we provide a generalised proper-time flow, which is exact. Implications of these findings are discussed. |
2210.11497 | Alexios P. Polychronakos | Alexios P. Polychronakos | Superluminal anisotropic propagation and wavefront splitting on tilted
and boosted braneworlds | Substantially revised and expanded version including new effects; 17
pages, 2 figures | Physics Letters B, Volume 841, 10 June 2023, 137917 | 10.1016/j.physletb.2023.137917 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Braneworlds winding and spinning around an extra compact dimension manifest
superluminal propagation for fields penetrating the bulk. This propagation is
either irreducibly anisotropic or one that becomes isotropic in a special
frame, depending on the brane's motion and orientation in the bulk. For a class
of boosted observers on the brane the wavefront of such fields will split into
two hyperboloid components, one propagating forward and the other backward in
time at superluminal speeds. In spite of these effects, there is no violation
of causality and no tachyons. Detection of astrophysical anisotropic
superluminal propagation velocities would offer a sign for the existence of
extra compactified dimensions and information on the state of our braneworld in
the bulk.
| [
{
"created": "Thu, 20 Oct 2022 18:01:49 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Nov 2022 22:22:57 GMT",
"version": "v2"
},
{
"created": "Fri, 28 Apr 2023 18:00:00 GMT",
"version": "v3"
}
] | 2023-05-17 | [
[
"Polychronakos",
"Alexios P.",
""
]
] | Braneworlds winding and spinning around an extra compact dimension manifest superluminal propagation for fields penetrating the bulk. This propagation is either irreducibly anisotropic or one that becomes isotropic in a special frame, depending on the brane's motion and orientation in the bulk. For a class of boosted observers on the brane the wavefront of such fields will split into two hyperboloid components, one propagating forward and the other backward in time at superluminal speeds. In spite of these effects, there is no violation of causality and no tachyons. Detection of astrophysical anisotropic superluminal propagation velocities would offer a sign for the existence of extra compactified dimensions and information on the state of our braneworld in the bulk. |
1103.5627 | Keun-young Kim | Nick Evans, Astrid Gebauer, and Keun-Young Kim | E, B, \mu, T Phase Structure of the D3/D7 Holographic Dual | 20 pages, 7 figures | null | 10.1007/JHEP05(2011)067 | null | hep-th cond-mat.str-el hep-lat nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The large N_c N=4 gauge theory with quenched N=2 quark matter displays chiral
symmetry breaking in the presence of a magnetic field. We previously studied
the temperature and chemical potential phase structure of this theory in the
grand canonical ensemble - here we, in addition, include the effect of an
electric field which acts to counter chiral symmetry breaking by disassociating
mesons. We compute using the gravity dual based on the D3/probe-D7 brane
system. The theory displays two transition at one of which chiral symmetry is
restored. At the other transition density switches on, the mesons of the theory
become unstable and a current forms, making it a conductor-insulator
transition. Through the temperature, electric field, chemical potential volume
(at fixed magnetic field parallel to the electric field) these transitions can
coincide or separate at critical points, and be first order or second order. We
map out this full phase structure which provides varied computable examples
relevant to strongly coupled gauge theories and potentially condensed matter
systems.
| [
{
"created": "Tue, 29 Mar 2011 13:17:48 GMT",
"version": "v1"
}
] | 2015-05-27 | [
[
"Evans",
"Nick",
""
],
[
"Gebauer",
"Astrid",
""
],
[
"Kim",
"Keun-Young",
""
]
] | The large N_c N=4 gauge theory with quenched N=2 quark matter displays chiral symmetry breaking in the presence of a magnetic field. We previously studied the temperature and chemical potential phase structure of this theory in the grand canonical ensemble - here we, in addition, include the effect of an electric field which acts to counter chiral symmetry breaking by disassociating mesons. We compute using the gravity dual based on the D3/probe-D7 brane system. The theory displays two transition at one of which chiral symmetry is restored. At the other transition density switches on, the mesons of the theory become unstable and a current forms, making it a conductor-insulator transition. Through the temperature, electric field, chemical potential volume (at fixed magnetic field parallel to the electric field) these transitions can coincide or separate at critical points, and be first order or second order. We map out this full phase structure which provides varied computable examples relevant to strongly coupled gauge theories and potentially condensed matter systems. |
hep-th/0701210 | Siyoung Nam | Bum-Hoon Lee (Sogang U. & CQUeST, Seoul), Wonwoo Lee, Siyoung Nam,
Chanyong Park (CQUeST, Seoul) | Domain wall cosmology and multiple accelerations | corrected typos, title and sec. 5 | Phys.Rev.D75:103506,2007 | 10.1103/PhysRevD.75.103506 | null | hep-th | null | We classify the cosmological behaviors of the domain wall under junctions
between two spacetimes in terms of various parameters: cosmological constants
of bulk spacetime, a tension of a domain wall, and mass parameters of the black
hole-type metric. Especially, we consider the false-true vacuum type junctions
and the domain wall connecting between an inner AdS space and an outer AdS
Reissner-Nordstr${\rm \ddot{o}}$m black hole. We find that there exist a
solution to the junction equations with an inflation at earlier times and an
accelerating expansion at later times.
| [
{
"created": "Tue, 23 Jan 2007 13:48:32 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Feb 2007 07:18:21 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Lee",
"Bum-Hoon",
"",
"Sogang U. & CQUeST, Seoul"
],
[
"Lee",
"Wonwoo",
"",
"CQUeST, Seoul"
],
[
"Nam",
"Siyoung",
"",
"CQUeST, Seoul"
],
[
"Park",
"Chanyong",
"",
"CQUeST, Seoul"
]
] | We classify the cosmological behaviors of the domain wall under junctions between two spacetimes in terms of various parameters: cosmological constants of bulk spacetime, a tension of a domain wall, and mass parameters of the black hole-type metric. Especially, we consider the false-true vacuum type junctions and the domain wall connecting between an inner AdS space and an outer AdS Reissner-Nordstr${\rm \ddot{o}}$m black hole. We find that there exist a solution to the junction equations with an inflation at earlier times and an accelerating expansion at later times. |
1604.05025 | Kazuo Ghoroku | Kazuo Ghoroku and Masafumi Ishihara | Holographic Schwinger Effect and Chiral condensate in SYM Theory | 25 pages, 12 figures | null | 10.1007/JHEP09(2016)011 | FIT-HE-16-01 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the instability, for the supersymmetric Yang-Mills (SYM) theories,
caused by the external electric field through the imaginary part of the action
of the D7 probe brane, which is embedded in the background of type IIB theory.
This instability is related to the Schwinger effect, namely to the quark pair
production due to the external electric field, for the $SU(N_c)$ SYM theories.
In this holographic approach, it is possible to calculate the Schwinger effect
for various phases of the theories. Here we give the calculation for ${\cal
N}=2$ SYM theory and the analysis is extended to the finite temperature
deconfinement and the zero temperature confinement phases of the Yang-Mills
(YM) theory. By comparing the obtained production rates with the one of the
supersymmetric case, the dynamical quark mass is estimated and we find how it
varies with the chiral condensate. Based on this analysis, we give a
speculation on the extension of the Nambu-Jona-Lasinio model to the finite
temperature YM theory, and four fermi coupling is evaluated in the confinement
theory.
| [
{
"created": "Mon, 18 Apr 2016 08:02:43 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Apr 2016 04:39:05 GMT",
"version": "v2"
},
{
"created": "Sat, 23 Jul 2016 01:04:25 GMT",
"version": "v3"
}
] | 2016-09-21 | [
[
"Ghoroku",
"Kazuo",
""
],
[
"Ishihara",
"Masafumi",
""
]
] | We study the instability, for the supersymmetric Yang-Mills (SYM) theories, caused by the external electric field through the imaginary part of the action of the D7 probe brane, which is embedded in the background of type IIB theory. This instability is related to the Schwinger effect, namely to the quark pair production due to the external electric field, for the $SU(N_c)$ SYM theories. In this holographic approach, it is possible to calculate the Schwinger effect for various phases of the theories. Here we give the calculation for ${\cal N}=2$ SYM theory and the analysis is extended to the finite temperature deconfinement and the zero temperature confinement phases of the Yang-Mills (YM) theory. By comparing the obtained production rates with the one of the supersymmetric case, the dynamical quark mass is estimated and we find how it varies with the chiral condensate. Based on this analysis, we give a speculation on the extension of the Nambu-Jona-Lasinio model to the finite temperature YM theory, and four fermi coupling is evaluated in the confinement theory. |
hep-th/0310194 | Kokorelis | Christos Kokorelis | 4D GUT (and SM) Model Building from Intersecting D-Branes | 8 pages, LaTex, Contribution to the Proceedings of the "String
Phenomenology 2003" conference, Durham, England, 29th July - 4th August 2003 | null | null | null | hep-th | null | We provide a general overview of the current state of the art in three
generation model building proposals - using intersecting D-brane toroidal
compactifications of IIA string theories - which have, only, the SM at low
energy. In this context, we focus on these model building directions, where
natural non-supersymmetric constructions based on
$SU(4)_C \times SU(2)_L \times SU(2)_R$, SU(5) and flipped SU(5) GUT groups,
have at low energy only the Standard Model. In the flipped SU(5) GUTS, the
special build up structure of the models accommodates naturally a see-saw
mechanism and a new solution to the doublet-triplet splitting problem.
| [
{
"created": "Mon, 20 Oct 2003 20:14:14 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Kokorelis",
"Christos",
""
]
] | We provide a general overview of the current state of the art in three generation model building proposals - using intersecting D-brane toroidal compactifications of IIA string theories - which have, only, the SM at low energy. In this context, we focus on these model building directions, where natural non-supersymmetric constructions based on $SU(4)_C \times SU(2)_L \times SU(2)_R$, SU(5) and flipped SU(5) GUT groups, have at low energy only the Standard Model. In the flipped SU(5) GUTS, the special build up structure of the models accommodates naturally a see-saw mechanism and a new solution to the doublet-triplet splitting problem. |
0805.4038 | Ariel Edery | A. Edery and V. Marachevsky | The perfect magnetic conductor (PMC) Casimir piston in d+1 dimensions | 18 pages, 1 figure, to appear in Phys. Rev. D | Phys.Rev.D78:025021,2008 | 10.1103/PhysRevD.78.025021 | null | hep-th cond-mat.stat-mech math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Perfect magnetic conductor (PMC) boundary conditions are dual to the more
familiar perfect electric conductor (PEC) conditions and can be viewed as the
electromagnetic analog of the boundary conditions in the bag model for hadrons
in QCD. Recent advances and requirements in communication technologies have
attracted great interest in PMC's and Casimir experiments involving structures
that approximate PMC's may be carried out in the not too distant future. In
this paper, we make a study of the zero-temperature PMC Casimir piston in $d+1$
dimensions. The PMC Casimir energy is explicitly evaluated by summing over
$p+1$-dimensional Dirichlet energies where p ranges from 2 to $d$ inclusively.
We derive two exact $d$-dimensional expressions for the Casimir force on the
piston and find that the force is negative (attractive) in all dimensions. Both
expressions are applied to the case of 2+1 and 3+1 dimensions. A spin-off from
our work is a contribution to the PEC literature: we obtain a useful
alternative expression for the PEC Casimir piston in 3+1 dimensions and also
evaluate the Casimir force per unit area on an infinite strip, a geometry of
experimental interest.
| [
{
"created": "Tue, 27 May 2008 02:39:45 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Edery",
"A.",
""
],
[
"Marachevsky",
"V.",
""
]
] | Perfect magnetic conductor (PMC) boundary conditions are dual to the more familiar perfect electric conductor (PEC) conditions and can be viewed as the electromagnetic analog of the boundary conditions in the bag model for hadrons in QCD. Recent advances and requirements in communication technologies have attracted great interest in PMC's and Casimir experiments involving structures that approximate PMC's may be carried out in the not too distant future. In this paper, we make a study of the zero-temperature PMC Casimir piston in $d+1$ dimensions. The PMC Casimir energy is explicitly evaluated by summing over $p+1$-dimensional Dirichlet energies where p ranges from 2 to $d$ inclusively. We derive two exact $d$-dimensional expressions for the Casimir force on the piston and find that the force is negative (attractive) in all dimensions. Both expressions are applied to the case of 2+1 and 3+1 dimensions. A spin-off from our work is a contribution to the PEC literature: we obtain a useful alternative expression for the PEC Casimir piston in 3+1 dimensions and also evaluate the Casimir force per unit area on an infinite strip, a geometry of experimental interest. |
1512.04735 | Dongsu Bak | Dongsu Bak | Information metric and Euclidean Janus correspondence | 12 pages, 1 figure, references added, further typos corrected,
correction included | null | 10.1016/j.physletb.2016.03.012 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the quantum information metric of a family of CFTs perturbed by
an exactly marginal operator, which has the dual description of the Euclidean
Janus geometries. We first clarify its two dimensional case dual to the three
dimensional Janus geometry, which recently appeared in arXiv:1507.07555. We
generalize this correspondence to higher dimensions and get a precise agreement
between the both sides. We also show that the mixed-state information metric of
the same family of CFTs has a dual description in the Euclidean version of the
Janus time-dependent black hole geometry.
| [
{
"created": "Tue, 15 Dec 2015 11:34:03 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Dec 2015 11:19:45 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Mar 2016 13:07:49 GMT",
"version": "v3"
},
{
"created": "Tue, 1 Aug 2017 07:29:58 GMT",
"version": "v4"
}
] | 2017-08-02 | [
[
"Bak",
"Dongsu",
""
]
] | We consider the quantum information metric of a family of CFTs perturbed by an exactly marginal operator, which has the dual description of the Euclidean Janus geometries. We first clarify its two dimensional case dual to the three dimensional Janus geometry, which recently appeared in arXiv:1507.07555. We generalize this correspondence to higher dimensions and get a precise agreement between the both sides. We also show that the mixed-state information metric of the same family of CFTs has a dual description in the Euclidean version of the Janus time-dependent black hole geometry. |
2011.08814 | Yoshinori Matsuo | Yoshinori Matsuo | Islands and stretched horizon | 30 pages, 10 figures; v2: minor corrections, references added; v3: 36
pages, an appendix added | null | 10.1007/JHEP07(2021)051 | OU-HET-1082 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently it was proposed that the entanglement entropy of the Hawking
radiation contains the information of a region including the interior of the
event horizon, which is called "island." In studies of the entanglement entropy
of the Hawking radiation, the total system in the black hole geometry is
separated into the Hawking radiation and black hole. In this paper, we study
the entanglement entropy of the black hole in the asymptotically flat
Schwarzschild spacetime. Consistency with the island rule for the Hawking
radiation implies that the information of the black hole is located in a
different region than the island. We found an instability of the island in the
calculation of the entanglement entropy of the region outside a surface near
the horizon. This implies that the region contains all information of the total
system and the information of the black hole is localized on the surface. Thus
the surface would be interpreted as the stretched horizon. This structure also
resembles black holes in the AdS spacetime with an auxiliary flat spacetime,
where the information of the black hole is localized at the interface between
the AdS spacetime and the flat spacetime.
| [
{
"created": "Tue, 17 Nov 2020 18:22:58 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Jan 2021 15:25:48 GMT",
"version": "v2"
},
{
"created": "Mon, 31 May 2021 16:53:07 GMT",
"version": "v3"
}
] | 2021-07-28 | [
[
"Matsuo",
"Yoshinori",
""
]
] | Recently it was proposed that the entanglement entropy of the Hawking radiation contains the information of a region including the interior of the event horizon, which is called "island." In studies of the entanglement entropy of the Hawking radiation, the total system in the black hole geometry is separated into the Hawking radiation and black hole. In this paper, we study the entanglement entropy of the black hole in the asymptotically flat Schwarzschild spacetime. Consistency with the island rule for the Hawking radiation implies that the information of the black hole is located in a different region than the island. We found an instability of the island in the calculation of the entanglement entropy of the region outside a surface near the horizon. This implies that the region contains all information of the total system and the information of the black hole is localized on the surface. Thus the surface would be interpreted as the stretched horizon. This structure also resembles black holes in the AdS spacetime with an auxiliary flat spacetime, where the information of the black hole is localized at the interface between the AdS spacetime and the flat spacetime. |
0808.1891 | Roman Buniy | Roman V. Buniy and Thomas W. Kephart | The Aharonov-Bohm effect for a knotted magnetic solenoid | 9 pages, 7 figures | Phys.Lett.A373:919-921,2009 | 10.1016/j.physleta.2009.01.009 | IUHET-517 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the linking of a semiclassical path of a charged particle with a
knotted magnetic solenoid results in the Aharonov-Bohm effect. The phase shift
in the wave function is proportional to the flux intersecting a certain
connected and orientable surface bounded by the knot (a Seifert surface of the
knot).
| [
{
"created": "Wed, 13 Aug 2008 20:02:20 GMT",
"version": "v1"
}
] | 2009-02-16 | [
[
"Buniy",
"Roman V.",
""
],
[
"Kephart",
"Thomas W.",
""
]
] | We show that the linking of a semiclassical path of a charged particle with a knotted magnetic solenoid results in the Aharonov-Bohm effect. The phase shift in the wave function is proportional to the flux intersecting a certain connected and orientable surface bounded by the knot (a Seifert surface of the knot). |
0806.4558 | Rafael Montemayor | A. Khoudeir, R. Montemayor and Luis F. Urrutia | Dimensional reduction as a method to obtain dual theories for massive
spin two in arbitray dimensions | 14 pages, no figures, RevTex 4. Some clarifying comments and
references have been added | Phys.Rev.D78:065041,2008 | 10.1103/PhysRevD.78.065041 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the parent Lagrangian method together with a dimensional reduction from
$D$ to $(D-1)$ dimensions we construct dual theories for massive spin two
fields in arbitrary dimensions in terms of a mixed symmetry tensor
$T_{A[A_{1}A_{2}... A_{D-2}]}$. Our starting point is the well studied massless
parent action in dimension $D$. The resulting massive Stueckelberg-like parent
actions in $(D-1)$ dimensions inherits all the gauge symmetries of the original
massless action and can be gauge fixed in two alternative ways, yielding the
possibility of having either a parent action with a symmetric or a
non-symmetric Fierz-Pauli field $e_{AB}$. Even though the dual sector in terms
of the standard spin two field includes only the symmetrical part $e_{\{AB\}}$
in both cases, these two possibilities yield different results in terms of the
alternative dual field $T_{A[A_{1}A_{2}... A_{D-2}]}$. In particular, the
non-symmetric case reproduces the Freund-Curtright action as the dual to the
massive spin two field action in four dimensions.
| [
{
"created": "Fri, 27 Jun 2008 16:12:17 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Sep 2008 06:37:00 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Khoudeir",
"A.",
""
],
[
"Montemayor",
"R.",
""
],
[
"Urrutia",
"Luis F.",
""
]
] | Using the parent Lagrangian method together with a dimensional reduction from $D$ to $(D-1)$ dimensions we construct dual theories for massive spin two fields in arbitrary dimensions in terms of a mixed symmetry tensor $T_{A[A_{1}A_{2}... A_{D-2}]}$. Our starting point is the well studied massless parent action in dimension $D$. The resulting massive Stueckelberg-like parent actions in $(D-1)$ dimensions inherits all the gauge symmetries of the original massless action and can be gauge fixed in two alternative ways, yielding the possibility of having either a parent action with a symmetric or a non-symmetric Fierz-Pauli field $e_{AB}$. Even though the dual sector in terms of the standard spin two field includes only the symmetrical part $e_{\{AB\}}$ in both cases, these two possibilities yield different results in terms of the alternative dual field $T_{A[A_{1}A_{2}... A_{D-2}]}$. In particular, the non-symmetric case reproduces the Freund-Curtright action as the dual to the massive spin two field action in four dimensions. |
hep-th/0610200 | Horace W. Crater | David Alba, Horace W. Crater, Luca Lusanna | Hamiltonian Relativistic Two-Body Problem: Center of Mass and Orbit
Reconstruction | 47 pages - minor changes | J.Phys.A40:9585-9608,2007 | 10.1088/1751-8113/40/31/029 | null | hep-th gr-qc physics.class-ph | null | After a short review of the history and problems of relativistic Hamiltonian
mechanics with action-at-a-distance inter-particle potentials, we study
isolated two-body systems in the rest-frame instant form of dynamics. We give
explicit expressions of the relevant relativistic notions of center of mass, we
determine the generators of the Poincare' group in presence of interactions and
we show how to do the reconstruction of particles' orbits from the relative
motion and the canonical non-covariant center of mass. In the case of a simple
Coulomb-like potential model, it is possible to integrate explicitly the
relative motion and show the two dynamical trajectories.
| [
{
"created": "Tue, 17 Oct 2006 20:22:41 GMT",
"version": "v1"
},
{
"created": "Sat, 21 Oct 2006 23:17:31 GMT",
"version": "v2"
},
{
"created": "Fri, 15 Dec 2006 11:37:59 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Alba",
"David",
""
],
[
"Crater",
"Horace W.",
""
],
[
"Lusanna",
"Luca",
""
]
] | After a short review of the history and problems of relativistic Hamiltonian mechanics with action-at-a-distance inter-particle potentials, we study isolated two-body systems in the rest-frame instant form of dynamics. We give explicit expressions of the relevant relativistic notions of center of mass, we determine the generators of the Poincare' group in presence of interactions and we show how to do the reconstruction of particles' orbits from the relative motion and the canonical non-covariant center of mass. In the case of a simple Coulomb-like potential model, it is possible to integrate explicitly the relative motion and show the two dynamical trajectories. |
0809.3579 | Rene Schmidt | Rene Schmidt | Arithmetic gravity and Yang-Mills theory: An approach to adelic physics
via algebraic spaces | Ph.D. thesis written at the WWU Muenster, Germany, 184 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This work is a dissertation thesis written at the WWU Muenster (Germany),
supervised by Prof. Dr. Raimar Wulkenhaar. We present an approach to adelic
physics based on the language of algebraic spaces. Relative algebraic spaces X
over a base S are considered as fundamental objects which describe space-time.
This yields a formulation of general relativity which is covariant with respect
to changes of the chosen domain of numbers S. With regard to adelic physics the
choice of S as an excellent Dedekind scheme is of interest (because this way
also the finite prime spots, i.e. the p-adic degrees of freedom are taken into
account). In this arithmetic case, it turns out that X is a Neron model. This
enables us to make concrete statements concerning the structure of the
space-time described by X. Furthermore, some solutions of the arithmetic
Einstein equations are presented. In a next step, Yang-Mills gauge fields are
incorporated.
| [
{
"created": "Sun, 21 Sep 2008 12:19:25 GMT",
"version": "v1"
}
] | 2008-09-23 | [
[
"Schmidt",
"Rene",
""
]
] | This work is a dissertation thesis written at the WWU Muenster (Germany), supervised by Prof. Dr. Raimar Wulkenhaar. We present an approach to adelic physics based on the language of algebraic spaces. Relative algebraic spaces X over a base S are considered as fundamental objects which describe space-time. This yields a formulation of general relativity which is covariant with respect to changes of the chosen domain of numbers S. With regard to adelic physics the choice of S as an excellent Dedekind scheme is of interest (because this way also the finite prime spots, i.e. the p-adic degrees of freedom are taken into account). In this arithmetic case, it turns out that X is a Neron model. This enables us to make concrete statements concerning the structure of the space-time described by X. Furthermore, some solutions of the arithmetic Einstein equations are presented. In a next step, Yang-Mills gauge fields are incorporated. |
1111.1243 | Gary T. Horowitz | Gary T. Horowitz and Benson Way | Lifshitz Singularities | 14 pages; v2: comment added | null | 10.1103/PhysRevD.85.046008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Lifshitz spacetimes are possible gravitational duals to strongly coupled
field theories with an anisotropic scaling symmetry. These spacetimes however,
have a null curvature singularity. We find that higher dimensional embeddings
of Lifshitz also have a similar singularity. We study the propagation of test
strings in this background and find that they become infinitely excited if they
try to propagate through the singularity. This means that the Lifshitz geometry
is unstable and will receive large corrections in string theory.
| [
{
"created": "Fri, 4 Nov 2011 20:19:49 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Nov 2011 19:30:47 GMT",
"version": "v2"
}
] | 2013-05-30 | [
[
"Horowitz",
"Gary T.",
""
],
[
"Way",
"Benson",
""
]
] | Lifshitz spacetimes are possible gravitational duals to strongly coupled field theories with an anisotropic scaling symmetry. These spacetimes however, have a null curvature singularity. We find that higher dimensional embeddings of Lifshitz also have a similar singularity. We study the propagation of test strings in this background and find that they become infinitely excited if they try to propagate through the singularity. This means that the Lifshitz geometry is unstable and will receive large corrections in string theory. |
hep-th/0105065 | Bianca Letizia Cerchiai | B. L. Cerchiai, B. Zumino | Some remarks on unilateral matrix equations | latex, 6 pages, 1 figure, talk given at the euroconference "Brane New
World and Noncommutative Geometry", Villa Gualino, Torino, Italy, Oct 2-7,
2000 | Mod.Phys.Lett.A16:191-196,2001 | 10.1142/S0217732301003267 | UCB-PTH-01/06, LBNL-47482 | hep-th math.RA | null | We briefly review the results of our paper hep-th/0009013: we study certain
perturbative solutions of left-unilateral matrix equations. These are algebraic
equations where the coefficients and the unknown are square matrices of the
same order, or, more abstractly, elements of an associative, but possibly
noncommutative algebra, and all coefficients are on the left. Recently such
equations have appeared in a discussion of generalized Born-Infeld theories. In
particular, two equations, their perturbative solutions and the relation
between them are studied, applying a unified approach based on the generalized
Bezout theorem for matrix polynomials.
| [
{
"created": "Mon, 7 May 2001 20:10:25 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Cerchiai",
"B. L.",
""
],
[
"Zumino",
"B.",
""
]
] | We briefly review the results of our paper hep-th/0009013: we study certain perturbative solutions of left-unilateral matrix equations. These are algebraic equations where the coefficients and the unknown are square matrices of the same order, or, more abstractly, elements of an associative, but possibly noncommutative algebra, and all coefficients are on the left. Recently such equations have appeared in a discussion of generalized Born-Infeld theories. In particular, two equations, their perturbative solutions and the relation between them are studied, applying a unified approach based on the generalized Bezout theorem for matrix polynomials. |
1602.02158 | Anthony Ashmore | Anthony Ashmore, Michela Petrini, Daniel Waldram | The exceptional generalised geometry of supersymmetric AdS flux
backgrounds | 40 pages | null | 10.1007/JHEP12(2016)146 | Imperial/TP/16/DW/01 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyse generic AdS flux backgrounds preserving eight supercharges in
$D=4$ and $D=5$ dimensions using exceptional generalised geometry. We show that
they are described by a pair of globally defined, generalised structures,
identical to those that appear for flat flux backgrounds but with different
integrability conditions. We give a number of explicit examples of such
"exceptional Sasaki-Einstein" backgrounds in type IIB supergravity and
M-theory. In particular, we give the complete analysis of the generic AdS$_5$
M-theory backgrounds. We also briefly discuss the structure of the moduli space
of solutions. In all cases, one structure defines a "generalised Reeb vector"
that generates a Killing symmetry of the background corresponding to the
R-symmetry of the dual field theory, and in addition encodes the generic
contact structures that appear in the $D=4$ M-theory and $D=5$ type IIB cases.
Finally, we investigate the relation between generalised structures and
quantities in the dual field theory, showing that the central charge and
R-charge of BPS wrapped-brane states are both encoded by the generalised Reeb
vector, as well as discussing how volume minimisation (the dual of $a$- and
$\mathcal{F}$-maximisation) is encoded.
| [
{
"created": "Fri, 5 Feb 2016 21:00:01 GMT",
"version": "v1"
}
] | 2017-02-01 | [
[
"Ashmore",
"Anthony",
""
],
[
"Petrini",
"Michela",
""
],
[
"Waldram",
"Daniel",
""
]
] | We analyse generic AdS flux backgrounds preserving eight supercharges in $D=4$ and $D=5$ dimensions using exceptional generalised geometry. We show that they are described by a pair of globally defined, generalised structures, identical to those that appear for flat flux backgrounds but with different integrability conditions. We give a number of explicit examples of such "exceptional Sasaki-Einstein" backgrounds in type IIB supergravity and M-theory. In particular, we give the complete analysis of the generic AdS$_5$ M-theory backgrounds. We also briefly discuss the structure of the moduli space of solutions. In all cases, one structure defines a "generalised Reeb vector" that generates a Killing symmetry of the background corresponding to the R-symmetry of the dual field theory, and in addition encodes the generic contact structures that appear in the $D=4$ M-theory and $D=5$ type IIB cases. Finally, we investigate the relation between generalised structures and quantities in the dual field theory, showing that the central charge and R-charge of BPS wrapped-brane states are both encoded by the generalised Reeb vector, as well as discussing how volume minimisation (the dual of $a$- and $\mathcal{F}$-maximisation) is encoded. |
hep-th/9612240 | Takahiro Masuda | Takahiro Masuda, Hisao Suzuki (Hokkaido University) | On Explicit Evaluations Around the Conformal Point in N=2 Supersymmetric
Yang-Mills Theories | 25 pages, LaTeX | Nucl.Phys. B495 (1997) 149-171 | 10.1016/S0550-3213(97)00199-5 | EPHOU 96-008 | hep-th | null | We show how to give the expression for periods, Higgs field and its dual of
N=2 supersymmetric Yang-Mills theory around the conformal point. This is
achieved by evaluating the integral representation in the weak coupling region,
and by using analytic continuation to the conformal point. The explicit
representation is shown for the SU(2) theory with matter fields and also for
pure SU(N) and pure SO(2N) theory around the conformal point where the relation
to the beta function of the theory is clarified. We also discuss a relation
between the fixed points in the SU(2) theories with matter fields and the
Landau-Ginzburg point of 2-D N=2 SCFT.
| [
{
"created": "Fri, 27 Dec 1996 04:44:52 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Masuda",
"Takahiro",
"",
"Hokkaido University"
],
[
"Suzuki",
"Hisao",
"",
"Hokkaido University"
]
] | We show how to give the expression for periods, Higgs field and its dual of N=2 supersymmetric Yang-Mills theory around the conformal point. This is achieved by evaluating the integral representation in the weak coupling region, and by using analytic continuation to the conformal point. The explicit representation is shown for the SU(2) theory with matter fields and also for pure SU(N) and pure SO(2N) theory around the conformal point where the relation to the beta function of the theory is clarified. We also discuss a relation between the fixed points in the SU(2) theories with matter fields and the Landau-Ginzburg point of 2-D N=2 SCFT. |
hep-th/0004133 | Joshua Erlich | Csaba Csaki, Joshua Erlich, Christophe Grojean and Timothy Hollowood | General Properties of the Self-tuning Domain Wall Approach to the
Cosmological Constant Problem | 26 pages, LaTeX, 8 figures included. V2: references added. To appear
in NPB | Nucl.Phys.B584:359-386,2000 | 10.1016/S0550-3213(00)00390-4 | LBNL-45490 | hep-th gr-qc hep-ph | null | We study the dynamics of brane worlds coupled to a scalar field and gravity,
and find that self-tuning of the cosmological constant is generic in theories
with at most two branes or a single brane with orbifold boundary conditions. We
demonstrate that singularities are generic in the self-tuned solutions
compatible with localized gravity on the brane: we show that localized gravity
with an infinitely large extra dimension is only consistent with particular
fine-tuned values of the brane tension. The number of allowed brane tension
values is related to the number of negative stationary points of the scalar
bulk potential and, in the case of an oscillatory potential, the brane tension
for which gravity is localized without singularities is quantized. We also
examine a resolution of the singularities, and find that fine-tuning is
generically re-introduced at the singularities in order to retain a static
solution. However, we speculate that the presence of additional fields may
restore self-tuning.
| [
{
"created": "Tue, 18 Apr 2000 23:35:45 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Jun 2000 00:23:31 GMT",
"version": "v2"
}
] | 2009-09-17 | [
[
"Csaki",
"Csaba",
""
],
[
"Erlich",
"Joshua",
""
],
[
"Grojean",
"Christophe",
""
],
[
"Hollowood",
"Timothy",
""
]
] | We study the dynamics of brane worlds coupled to a scalar field and gravity, and find that self-tuning of the cosmological constant is generic in theories with at most two branes or a single brane with orbifold boundary conditions. We demonstrate that singularities are generic in the self-tuned solutions compatible with localized gravity on the brane: we show that localized gravity with an infinitely large extra dimension is only consistent with particular fine-tuned values of the brane tension. The number of allowed brane tension values is related to the number of negative stationary points of the scalar bulk potential and, in the case of an oscillatory potential, the brane tension for which gravity is localized without singularities is quantized. We also examine a resolution of the singularities, and find that fine-tuning is generically re-introduced at the singularities in order to retain a static solution. However, we speculate that the presence of additional fields may restore self-tuning. |
hep-th/9611092 | null | Christoph Schweigert | On moduli spaces of flat connections with non-simply connected structure
group | 12 pages, LaTeX | Nucl.Phys. B492 (1997) 743-755 | 10.1016/S0550-3213(97)00152-1 | UCB-PTH-96/53, LBNL-39585 | hep-th alg-geom math.AG | null | We consider the moduli space of flat G-bundles over the twodimensional torus,
where G is a real, compact, simple Lie group which is not simply connected. We
show that the connected components that describe topologically non-trivial
bundles are isomorphic as symplectic spaces to moduli spaces of topologically
trivial bundles with a different structure group. Some physical applications of
this isomorphism which allows to trade topological non-triviality for a change
of the gauge group are sketched.
| [
{
"created": "Tue, 12 Nov 1996 23:54:17 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Schweigert",
"Christoph",
""
]
] | We consider the moduli space of flat G-bundles over the twodimensional torus, where G is a real, compact, simple Lie group which is not simply connected. We show that the connected components that describe topologically non-trivial bundles are isomorphic as symplectic spaces to moduli spaces of topologically trivial bundles with a different structure group. Some physical applications of this isomorphism which allows to trade topological non-triviality for a change of the gauge group are sketched. |
hep-th/9705224 | Jose Roberto Soares do Nascimento | D. Bazeia, J. R. S. Nascimento, R. F. Ribeiro, and D. Toledo | Soliton Stability in Systems of Two Real Scalar Fields | 16 pages, Revtex, 3 f igures | J.Phys.A30:8157-8166,1997 | 10.1088/0305-4470/30/23/015 | null | hep-th | null | In this paper we consider a class of systems of two coupled real scalar
fields in bidimensional spacetime, with the main motivation of studying
classical or linear stability of soliton solutions. Firstly, we present the
class of systems and comment on the topological profile of soliton solutions
one can find from the first-order equations that solve the equations of motion.
After doing that, we follow the standard approach to classical stability to
introduce the main steps one needs to obtain the spectra of Schr\"odinger
operators that appear in this class of systems. We consider a specific system,
from which we illustrate the general calculations and present some analytical
results. We also consider another system, more general, and we present another
investigation, that introduces new results and offers a comparison with the
former investigations.
| [
{
"created": "Wed, 28 May 1997 18:50:54 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Bazeia",
"D.",
""
],
[
"Nascimento",
"J. R. S.",
""
],
[
"Ribeiro",
"R. F.",
""
],
[
"Toledo",
"D.",
""
]
] | In this paper we consider a class of systems of two coupled real scalar fields in bidimensional spacetime, with the main motivation of studying classical or linear stability of soliton solutions. Firstly, we present the class of systems and comment on the topological profile of soliton solutions one can find from the first-order equations that solve the equations of motion. After doing that, we follow the standard approach to classical stability to introduce the main steps one needs to obtain the spectra of Schr\"odinger operators that appear in this class of systems. We consider a specific system, from which we illustrate the general calculations and present some analytical results. We also consider another system, more general, and we present another investigation, that introduces new results and offers a comparison with the former investigations. |
1907.02042 | Mir Faizal | Yoshiaki Ohkuwa, Yasuo Ezawa, Mir Faizal | Operator Ordering Ambiguity and Third Quantization | 17 pages | Annals Phys. 414 (2020) 168072 | 10.1016/j.aop.2020.168072 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we will constrain the operator ordering ambiguity of
Wheeler-DeWitt equation by analyzing the quantum fluctuations in the universe.
This will be done using a third quantized formalism. It is expected that the
early stages of the universe are dominated by quantum fluctuations.
Furthermore, it is also expected that these quantum fluctuations get suppressed
with the expansion of the universe. We will show that this desired behavior of
quantum fluctuations could be realized by a wide ranges of the factor ordering
parameters. We will examined two different cosmological models, and observe
that a similar range of factor ordering parameters produces this desired
behavior in both those cosmological models.
| [
{
"created": "Sun, 30 Jun 2019 13:42:53 GMT",
"version": "v1"
}
] | 2020-03-06 | [
[
"Ohkuwa",
"Yoshiaki",
""
],
[
"Ezawa",
"Yasuo",
""
],
[
"Faizal",
"Mir",
""
]
] | In this paper, we will constrain the operator ordering ambiguity of Wheeler-DeWitt equation by analyzing the quantum fluctuations in the universe. This will be done using a third quantized formalism. It is expected that the early stages of the universe are dominated by quantum fluctuations. Furthermore, it is also expected that these quantum fluctuations get suppressed with the expansion of the universe. We will show that this desired behavior of quantum fluctuations could be realized by a wide ranges of the factor ordering parameters. We will examined two different cosmological models, and observe that a similar range of factor ordering parameters produces this desired behavior in both those cosmological models. |
hep-th/0001167 | Sheikh-Jabbari Mohammad | M.M. Sheikh-Jabbari | Discrete Symmetries (C,P,T) in Noncommutative Field Theories | Revtex File, 4 pages, no figures, minor changes from previous verion.
To appear in Phys. Rev. Lett | Phys.Rev.Lett.84:5265-5268,2000 | 10.1103/PhysRevLett.84.5265 | null | hep-th hep-ph | null | In this paper we study the invariance of the noncmmutative gauge theories
under C, P and T transformations. For the noncommutative space (when only the
spatial part of $\theta$ is non-zero) we show that NCQED is Parity invariant.
In addition, we show that under charge conjugation the theory on noncommutative
$R^4_{\theta}$ is transformed to the theory on $R^4_{-\theta}$, so NCQED is a
CP violating theory. The theory remains invariant under time reversal if,
together with proper changes in fields, we also change $\theta$ by $-\theta$.
Hence altogether NCQED is CPT invariant. Moreover we show that the CPT
invariance holds for general noncommutative space-time.
| [
{
"created": "Tue, 25 Jan 2000 17:04:32 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Feb 2000 14:46:37 GMT",
"version": "v2"
},
{
"created": "Sat, 29 Apr 2000 16:09:13 GMT",
"version": "v3"
}
] | 2009-10-07 | [
[
"Sheikh-Jabbari",
"M. M.",
""
]
] | In this paper we study the invariance of the noncmmutative gauge theories under C, P and T transformations. For the noncommutative space (when only the spatial part of $\theta$ is non-zero) we show that NCQED is Parity invariant. In addition, we show that under charge conjugation the theory on noncommutative $R^4_{\theta}$ is transformed to the theory on $R^4_{-\theta}$, so NCQED is a CP violating theory. The theory remains invariant under time reversal if, together with proper changes in fields, we also change $\theta$ by $-\theta$. Hence altogether NCQED is CPT invariant. Moreover we show that the CPT invariance holds for general noncommutative space-time. |
hep-th/9312214 | Romesh Kaul | R. K. Kaul | The representations of Temperley-Lieb-Jones algebras | 24 pages | Nucl.Phys. B417 (1994) 267-288 | 10.1016/0550-3213(94)90547-9 | null | hep-th math.QA | null | Representations of braid group obtained from rational conformal field
theories can be used to obtain explicit representations of Temperley-Lieb-Jones
algebras. The method is described in detail for SU(2)$_k$ Wess - Zumino
conformal field theories and its generalization to an arbitrary rational
conformal field theory outlined. Explicit definition of an associated linear
trace operation in terms of a certain matrix element in the space of conformal
blocks of such a conformal theory is presented. Further for every primary field
of a rational conformal field theory, there is a subfactor of hyperfinite
II$_1$ factor with trivial relative commutant. The index of the subfactor is
given in terms of identity - identity element of certain duality matrix for
conformal blocks of four-point correlators. Jones formula for index ( $<$ 4 )
for subfactors corresponds to spin ${\frac{1}{2}}$ representation of SU(2)$_k$
Wess-Zumino conformal field theory. Definition of the trace operation also
provides a method of obtaining link invariants explicitly.
| [
{
"created": "Fri, 31 Dec 1993 09:29:22 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Kaul",
"R. K.",
""
]
] | Representations of braid group obtained from rational conformal field theories can be used to obtain explicit representations of Temperley-Lieb-Jones algebras. The method is described in detail for SU(2)$_k$ Wess - Zumino conformal field theories and its generalization to an arbitrary rational conformal field theory outlined. Explicit definition of an associated linear trace operation in terms of a certain matrix element in the space of conformal blocks of such a conformal theory is presented. Further for every primary field of a rational conformal field theory, there is a subfactor of hyperfinite II$_1$ factor with trivial relative commutant. The index of the subfactor is given in terms of identity - identity element of certain duality matrix for conformal blocks of four-point correlators. Jones formula for index ( $<$ 4 ) for subfactors corresponds to spin ${\frac{1}{2}}$ representation of SU(2)$_k$ Wess-Zumino conformal field theory. Definition of the trace operation also provides a method of obtaining link invariants explicitly. |
2002.05110 | Abouzeid Shalaby Prof. | Abouzeid M. Shalaby | Weak-Coupling, Strong-Coupling and Large-Order Parametrization of the
Hypergeometric-Meijer Approximants | null | Results in Physics 19 (2020) 103376 | 10.1016/j.rinp.2020.103376 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Without Borel or Pad$\acute{e}$ techniques, we show that for a divergent
series with $n!$ large-order growth factor, the set of Hypergeometric series
$_{k+1}F_{k-1}$ represents suitable approximants for which there exist no free
parameters. The divergent $_{k+1}F_{k-1}$ series are then resummed via their
representation in terms of the Meijer-G function. The choice of $_{k+1}F_{k-1}$
accelerates the convergence even with only weak-coupling information as input.
For more acceleration of the convergence, we employ the strong-coupling and
large-order information. We obtained a new constraint that relates the
difference of numerator and denominator parameters in the Hypergeometric
approximant to one of the large-order parameters. To test the validity of that
constraint, we employed it to obtain the exact partition function of the
zero-dimensional $\phi^4$ scalar field theory. The algorithm is also applied
for the resummation of the ground state energies of $\phi_{0+1}^{4}$ and
$i\phi_{0+1}^{3}$ scalar field theories. We get accurate results for the whole
coupling space and the precision is improved systematically in using higher
orders. Precise results for the critical exponents of the $O(4)$-symmetric
field model in three dimensions have been obtained from resummation of the
recent six-loops order of the corresponding perturbation series. The recent
seven-loops order for the $\beta$-function of the $\phi^{4}_{3+1}$ field theory
has been resummed which shows non-existence of fixed points. The first
resummation result of the seven-loop series representing the fractal dimension
of the two-dimensional self-avoiding polymer is presented here where we get a
very accurate value of $d_f=1.3307$ compared to its exact value
($4/3\approx1.3333$).
| [
{
"created": "Sat, 8 Feb 2020 21:09:43 GMT",
"version": "v1"
},
{
"created": "Mon, 18 May 2020 20:12:19 GMT",
"version": "v2"
}
] | 2021-01-22 | [
[
"Shalaby",
"Abouzeid M.",
""
]
] | Without Borel or Pad$\acute{e}$ techniques, we show that for a divergent series with $n!$ large-order growth factor, the set of Hypergeometric series $_{k+1}F_{k-1}$ represents suitable approximants for which there exist no free parameters. The divergent $_{k+1}F_{k-1}$ series are then resummed via their representation in terms of the Meijer-G function. The choice of $_{k+1}F_{k-1}$ accelerates the convergence even with only weak-coupling information as input. For more acceleration of the convergence, we employ the strong-coupling and large-order information. We obtained a new constraint that relates the difference of numerator and denominator parameters in the Hypergeometric approximant to one of the large-order parameters. To test the validity of that constraint, we employed it to obtain the exact partition function of the zero-dimensional $\phi^4$ scalar field theory. The algorithm is also applied for the resummation of the ground state energies of $\phi_{0+1}^{4}$ and $i\phi_{0+1}^{3}$ scalar field theories. We get accurate results for the whole coupling space and the precision is improved systematically in using higher orders. Precise results for the critical exponents of the $O(4)$-symmetric field model in three dimensions have been obtained from resummation of the recent six-loops order of the corresponding perturbation series. The recent seven-loops order for the $\beta$-function of the $\phi^{4}_{3+1}$ field theory has been resummed which shows non-existence of fixed points. The first resummation result of the seven-loop series representing the fractal dimension of the two-dimensional self-avoiding polymer is presented here where we get a very accurate value of $d_f=1.3307$ compared to its exact value ($4/3\approx1.3333$). |
1309.1581 | Arkady Tseytlin | E. I. Buchbinder, A. A. Tseytlin | One-loop correction to the energy of a wavy line string in AdS_5 | 21 pages, 2 figures; v3: a footnote added, misprint corrected | J. Phys. A: Math. Theor. 46 (2013) 505401 | 10.1088/1751-8113/46/50/505401 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a computation of one-loop AdS_5 x S^5 superstring correction to
the energy radiated by the end-point of a string which moves along a wavy line
at the boundary of AdS_5 with a small transverse acceleration (the
corresponding classical solution was described by Mikhailov in hep-th/0305196).
We also compute the one-loop effective action for an arbitrary small transverse
string fluctuation background. It is related by an analytic continuation to the
Euclidean effective action describing one-loop correction to the expectation
value of a wavy Wilson line. We show that both the one-loop contribution to the
energy and to the Wilson line are controlled by the subleading term in the
strong-coupling expansion of the function B(\lambda) as suggested by Correa,
Henn, Maldacena and Sever in arXiv:1202.4455.
| [
{
"created": "Fri, 6 Sep 2013 09:43:39 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Oct 2013 10:33:21 GMT",
"version": "v2"
},
{
"created": "Tue, 18 Nov 2014 16:48:31 GMT",
"version": "v3"
}
] | 2015-06-17 | [
[
"Buchbinder",
"E. I.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] | We consider a computation of one-loop AdS_5 x S^5 superstring correction to the energy radiated by the end-point of a string which moves along a wavy line at the boundary of AdS_5 with a small transverse acceleration (the corresponding classical solution was described by Mikhailov in hep-th/0305196). We also compute the one-loop effective action for an arbitrary small transverse string fluctuation background. It is related by an analytic continuation to the Euclidean effective action describing one-loop correction to the expectation value of a wavy Wilson line. We show that both the one-loop contribution to the energy and to the Wilson line are controlled by the subleading term in the strong-coupling expansion of the function B(\lambda) as suggested by Correa, Henn, Maldacena and Sever in arXiv:1202.4455. |
1712.04288 | Agustin Sabio Vera | Grigorios Chachamis, Diego Medrano Jim\'enez, Agust\'in Sabio Vera,
Miguel \'A. V\'azquez-Mozo | Sudakov Representation of the Cachazo-He-Yuan Scattering Equations
Formalism | 30 pages, 4 figures. Typos removed. Final version published in JHEP | JHEP 1801 (2018) 057 | 10.1007/JHEP01(2018)057 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the use of Sudakov variables greatly simplifies the study of the
solutions to the scattering equations in the Cachazo-He-Yuan formalism. We work
in the center-of-mass frame for the two incoming particles, which partially
fixes the SL(2,C) redundancy in the integrand defining the scattering
amplitudes, the remaining freedom translates into a global shift in the
azimuthal angle of the outgoing particles. Studying four- and five-particle
amplitudes, we see how an appropriate choice of this phase allows for algebraic
simplifications when finding solutions to the scattering equations, as well as
in the expression of the scattering amplitudes in terms of the locations of the
punctures in the sphere. These punctures themselves are remarkably simple
functions of the Sudakov parameters.
| [
{
"created": "Tue, 12 Dec 2017 13:46:29 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Jan 2018 16:48:28 GMT",
"version": "v2"
}
] | 2018-01-17 | [
[
"Chachamis",
"Grigorios",
""
],
[
"Jiménez",
"Diego Medrano",
""
],
[
"Vera",
"Agustín Sabio",
""
],
[
"Vázquez-Mozo",
"Miguel Á.",
""
]
] | We show that the use of Sudakov variables greatly simplifies the study of the solutions to the scattering equations in the Cachazo-He-Yuan formalism. We work in the center-of-mass frame for the two incoming particles, which partially fixes the SL(2,C) redundancy in the integrand defining the scattering amplitudes, the remaining freedom translates into a global shift in the azimuthal angle of the outgoing particles. Studying four- and five-particle amplitudes, we see how an appropriate choice of this phase allows for algebraic simplifications when finding solutions to the scattering equations, as well as in the expression of the scattering amplitudes in terms of the locations of the punctures in the sphere. These punctures themselves are remarkably simple functions of the Sudakov parameters. |
1410.4948 | Davoud Kamani | Farzin Safarzadeh-Maleki and Davoud Kamani | Tachyon Condensation on a Nonstationary D$p$-brane with Background
Fields in Superstring Theory | 8 pages, Latex, no figure | Phys. Rev. D 90, 107902 (2014) | 10.1103/PhysRevD.90.107902 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the boundary state formalism we obtain the partition function
corresponding to a dynamical (rotating-moving) D$p$-brane in the presence of
electromagnetic and tachyonic background fields in the superstring theory. The
instability of such D$p$-brane due to the tachyon condensation is investigated.
| [
{
"created": "Sat, 18 Oct 2014 11:58:05 GMT",
"version": "v1"
}
] | 2014-11-13 | [
[
"Safarzadeh-Maleki",
"Farzin",
""
],
[
"Kamani",
"Davoud",
""
]
] | Using the boundary state formalism we obtain the partition function corresponding to a dynamical (rotating-moving) D$p$-brane in the presence of electromagnetic and tachyonic background fields in the superstring theory. The instability of such D$p$-brane due to the tachyon condensation is investigated. |
1508.06484 | Sang-A Park | Byoungjoon Ahn, Seungjoon Hyun, Sang-A Park, Sang-Heon Yi | Scaling symmetry and scalar hairy rotating AdS_3 black holes | 1+18 pages, plain LaTeX; v2 typos fixed, references added; v3
accepted for publication in PRD | Phys. Rev. D 93, 024041 (2016) | 10.1103/PhysRevD.93.024041 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By using the scaling symmetry in the reduced action formalism, we derive the
novel Smarr relation which holds even for the hairy rotating AdS_3 black holes.
And then, by using the Smarr relation we argue that the hairy rotating AdS_3
black holes are stable thermodynamically, compared to the non-hairy ones.
| [
{
"created": "Wed, 26 Aug 2015 13:23:10 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Sep 2015 08:03:30 GMT",
"version": "v2"
},
{
"created": "Thu, 31 Dec 2015 16:33:14 GMT",
"version": "v3"
}
] | 2016-02-03 | [
[
"Ahn",
"Byoungjoon",
""
],
[
"Hyun",
"Seungjoon",
""
],
[
"Park",
"Sang-A",
""
],
[
"Yi",
"Sang-Heon",
""
]
] | By using the scaling symmetry in the reduced action formalism, we derive the novel Smarr relation which holds even for the hairy rotating AdS_3 black holes. And then, by using the Smarr relation we argue that the hairy rotating AdS_3 black holes are stable thermodynamically, compared to the non-hairy ones. |
1311.1804 | Claudio Coriano | Claudio Coriano, Luigi Delle Rose, Carlo Marzo, Mirko Serino | The Dilaton Wess-Zumino Action in 6 Dimensions from Weyl Gauging: Local
Anomalies and Trace Relations | 33 pages. arXiv admin note: text overlap with arXiv:1306.4248 | null | 10.1088/0264-9381/31/10/105009 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We extend a previous analysis on the derivation of the dilaton Wess-Zumino
(WZ) action in $d=4$, based on the method of Weyl gauging, to $6$ dimensions.
As in the previous case, we discuss the structure of the same action in
dimensional regularization using 6-dimensional Weyl invariants, extracting the
dilaton interactions in the most general scheme, with the inclusion of the
local anomaly terms. As an application, we present the WZ action for the (2,0)
tensor multiplet, which has been investigated in the past in the context of the
$AdS_7/CFT_6$ holographic anomaly matching. We then extend to $d=6$ the
investigation of fully traced correlation functions of EMT's, formerly
presented in $d=4$, showing that their hierarchy is functionally related only
to the first 6 correlators. We give the explicit expressions of these in the
most general scheme, up to rank-4.
| [
{
"created": "Thu, 7 Nov 2013 20:34:16 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Nov 2013 07:54:23 GMT",
"version": "v2"
}
] | 2015-06-17 | [
[
"Coriano",
"Claudio",
""
],
[
"Rose",
"Luigi Delle",
""
],
[
"Marzo",
"Carlo",
""
],
[
"Serino",
"Mirko",
""
]
] | We extend a previous analysis on the derivation of the dilaton Wess-Zumino (WZ) action in $d=4$, based on the method of Weyl gauging, to $6$ dimensions. As in the previous case, we discuss the structure of the same action in dimensional regularization using 6-dimensional Weyl invariants, extracting the dilaton interactions in the most general scheme, with the inclusion of the local anomaly terms. As an application, we present the WZ action for the (2,0) tensor multiplet, which has been investigated in the past in the context of the $AdS_7/CFT_6$ holographic anomaly matching. We then extend to $d=6$ the investigation of fully traced correlation functions of EMT's, formerly presented in $d=4$, showing that their hierarchy is functionally related only to the first 6 correlators. We give the explicit expressions of these in the most general scheme, up to rank-4. |
hep-th/9905142 | Federica Vian | F. Vian | Quantum Field Theories with Symmetries in the Wilsonian Exact
Renormalization Group | Latex, 113 pages, PhD thesis, Parma University, November 1998, 21
eps-figures, 34 files compressed into tesi.tar.gz | null | null | null | hep-th | null | The purpose of the present thesis is the implementation of symmetries in the
Wilsonian Exact Renormalization Group (ERG) approach. After recalling how the
ERG can be introduced in a general theory (i.e. containing both bosons and
fermions, scalars and vectors) and having applied it to the massless scalar
theory as an example of how the method works, we discuss the formulation of the
Quantum Action Principle (QAP) in the ERG and show that the Slavnov-Taylor
identities can be directly derived for the cutoff effective action at any
momentum scale. Firstly the QAP is exploited to analyse the breaking of
dilatation invariance occurring in the scalar theory in this approach. Then we
address SU(N) Yang-Mills theory and extensively treat the key issue of the
boundary conditions of the flow equation which, in this case, have also to
ensure restoration of symmetry for the physical theory. In case of a chiral
gauge theory, we show how the chiral anomaly can be obtained in the ERG.
Finally, we extend the ERG formulation to supersymmetric (gauge) theories. It
is emphasized regularization is implemented in such a way that supersymmetry is
preserved.
| [
{
"created": "Wed, 19 May 1999 15:12:41 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Vian",
"F.",
""
]
] | The purpose of the present thesis is the implementation of symmetries in the Wilsonian Exact Renormalization Group (ERG) approach. After recalling how the ERG can be introduced in a general theory (i.e. containing both bosons and fermions, scalars and vectors) and having applied it to the massless scalar theory as an example of how the method works, we discuss the formulation of the Quantum Action Principle (QAP) in the ERG and show that the Slavnov-Taylor identities can be directly derived for the cutoff effective action at any momentum scale. Firstly the QAP is exploited to analyse the breaking of dilatation invariance occurring in the scalar theory in this approach. Then we address SU(N) Yang-Mills theory and extensively treat the key issue of the boundary conditions of the flow equation which, in this case, have also to ensure restoration of symmetry for the physical theory. In case of a chiral gauge theory, we show how the chiral anomaly can be obtained in the ERG. Finally, we extend the ERG formulation to supersymmetric (gauge) theories. It is emphasized regularization is implemented in such a way that supersymmetry is preserved. |
1906.00707 | Wenliang Li | Wenliang Li | Closed-form expression for cross-channel conformal blocks near the
lightcone | 9 pages, 1 figure; v2: closed-form expression generalized to generic
external scalars, references updated; v3: discussions improved, typos
corrected, references updated; v4: published version | null | 10.1007/JHEP01(2020)055 | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the study of conformal field theories, conformal blocks in the lightcone
limit are fundamental to the analytic conformal bootstrap method. Here we
consider the lightcone limit of 4-point functions of generic scalar primaries.
Based on the nonperturbative pole structure in spin of Lorentzian inversion, we
propose the natural basis functions for cross-channel conformal blocks. In this
new basis, we find a closed-form expression for crossed conformal blocks in
terms of the Kamp\'e de F\'eriet function, which applies to intermediate
operators of arbitrary spin in general dimensions. We derive the general
Lorentzian inversion for the case of identical external scaling dimensions. Our
results for the lightcone limit also shed light on the complete analytic
structure of conformal blocks in the lightcone expansion.
| [
{
"created": "Mon, 3 Jun 2019 11:13:40 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Jul 2019 15:28:14 GMT",
"version": "v2"
},
{
"created": "Mon, 8 Jul 2019 07:38:59 GMT",
"version": "v3"
},
{
"created": "Sat, 11 Jan 2020 04:53:33 GMT",
"version": "v4"
}
] | 2020-01-14 | [
[
"Li",
"Wenliang",
""
]
] | In the study of conformal field theories, conformal blocks in the lightcone limit are fundamental to the analytic conformal bootstrap method. Here we consider the lightcone limit of 4-point functions of generic scalar primaries. Based on the nonperturbative pole structure in spin of Lorentzian inversion, we propose the natural basis functions for cross-channel conformal blocks. In this new basis, we find a closed-form expression for crossed conformal blocks in terms of the Kamp\'e de F\'eriet function, which applies to intermediate operators of arbitrary spin in general dimensions. We derive the general Lorentzian inversion for the case of identical external scaling dimensions. Our results for the lightcone limit also shed light on the complete analytic structure of conformal blocks in the lightcone expansion. |
0711.2292 | Arbab Ibrahim Arbab | Arbab I. Arbab | Viscous Dark Energy Models with Variable G and Lambda | 6 Latex pages | Chin.Phys.Lett.25:3834-3838,2008 | 10.1088/0256-307X/25/10/086 | null | hep-th | null | We consider a cosmological model with bulk viscosity ($\eta$) and variable
cosmological $(\Lambda\propto \rho^{-\alpha}, \alpha=\rm const.$) and
gravitational ($G$) constants. The model exhibits many interesting cosmological
features. Inflation proceeds du to the presence of bulk viscosity and dark
energy without requiring the equation of state $p=-\rho$. During the
inflationary era the energy density ($\rho$) does not remain constant, as in
the de-Sitter type. Moreover, the cosmological and gravitational constants
increase exponentially with time, whereas the energy density and viscosity
decrease exponentially with time. The rate of mass creation during inflation is
found to be very huge suggesting that all matter in the universe was created
during inflation.
| [
{
"created": "Wed, 14 Nov 2007 21:03:37 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Arbab",
"Arbab I.",
""
]
] | We consider a cosmological model with bulk viscosity ($\eta$) and variable cosmological $(\Lambda\propto \rho^{-\alpha}, \alpha=\rm const.$) and gravitational ($G$) constants. The model exhibits many interesting cosmological features. Inflation proceeds du to the presence of bulk viscosity and dark energy without requiring the equation of state $p=-\rho$. During the inflationary era the energy density ($\rho$) does not remain constant, as in the de-Sitter type. Moreover, the cosmological and gravitational constants increase exponentially with time, whereas the energy density and viscosity decrease exponentially with time. The rate of mass creation during inflation is found to be very huge suggesting that all matter in the universe was created during inflation. |
hep-th/9205008 | Jerome Gauntlett | Jerome P. Gauntlett | Low-Energy Dynamics of Supersymmetric Solitons | 25 pages | Nucl.Phys. B400 (1993) 103-125 | 10.1016/0550-3213(93)90399-A | null | hep-th | null | In bosonic field theories the low-energy scattering of solitons that saturate
Bogomol'nyi-type bounds can be approximated as geodesic motion on the moduli
space of static solutions. In this paper we consider the analogous issue within
the context of supersymmetric field theories. We focus our study on a class of
$N=2$ non-linear sigma models in $d=2+1$ based on an arbitrary K\"ahler target
manifold and their associated soliton or ``lump" solutions. Using a collective
co-ordinate expansion, we construct an effective action which, upon
quantisation, describes the low-energy dynamics of the lumps. The effective
action is an $N=2$ supersymmetric quantum mechanics action with the target
manifold being the moduli space of static charge $N$ lump solutions of the
sigma model. The Hilbert space of states of the effective theory consists of
anti-holomorphic forms on the moduli space. The normalisable elements of the
dolbeault cohomology classes $H^{(0,p)}$ of the moduli space correspond to zero
energy bound states and we argue that such states correpond to bound states in
the full quantum field theory of the sigma model.
| [
{
"created": "Tue, 5 May 1992 21:53:06 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Gauntlett",
"Jerome P.",
""
]
] | In bosonic field theories the low-energy scattering of solitons that saturate Bogomol'nyi-type bounds can be approximated as geodesic motion on the moduli space of static solutions. In this paper we consider the analogous issue within the context of supersymmetric field theories. We focus our study on a class of $N=2$ non-linear sigma models in $d=2+1$ based on an arbitrary K\"ahler target manifold and their associated soliton or ``lump" solutions. Using a collective co-ordinate expansion, we construct an effective action which, upon quantisation, describes the low-energy dynamics of the lumps. The effective action is an $N=2$ supersymmetric quantum mechanics action with the target manifold being the moduli space of static charge $N$ lump solutions of the sigma model. The Hilbert space of states of the effective theory consists of anti-holomorphic forms on the moduli space. The normalisable elements of the dolbeault cohomology classes $H^{(0,p)}$ of the moduli space correspond to zero energy bound states and we argue that such states correpond to bound states in the full quantum field theory of the sigma model. |
1808.08959 | Paul Romatschke | Masanori Hanada and Paul Romatschke | Real Time Quantum Gravity Dynamics from Classical Statistical Yang-Mills
Simulations | 24 pages, 9 figures; v2: added references; v3: added footnote related
to new results in 1909.04592 | null | 10.1007/JHEP01(2019)201 | null | hep-th gr-qc hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We perform microcanonical classical statistical lattice simulations of SU(N)
Yang-Mills theory with eight scalars on a circle. Measuring the eigenvalue
distribution of the spatial Wilson loop we find two distinct phases depending
on the total energy and circle radius, which we tentatively interpret as
corresponding to black hole and black string phases in a dual gravity picture.
We proceed to study quenches by first preparing the system in one phase,
rapidly changing the total energy, and monitoring the real-time system
response. We observe that the system relaxes to the equilibrium phase
corresponding to the new energy, in the process exhibiting characteristic
damped oscillations. We interpret this as the topology change from black hole
to black string configurations, with damped oscillations corresponding to
quasi-normal mode ringing of the black hole/black string final state. This
would suggest that alpha' corrections alone can resolve the singularity
associated with the topology change. We extract the real and imaginary part of
the lowest-lying presumptive quasinormal mode as a function of energy and N.
| [
{
"created": "Mon, 27 Aug 2018 18:00:01 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Oct 2018 18:11:51 GMT",
"version": "v2"
},
{
"created": "Thu, 16 Apr 2020 14:32:52 GMT",
"version": "v3"
}
] | 2020-04-17 | [
[
"Hanada",
"Masanori",
""
],
[
"Romatschke",
"Paul",
""
]
] | We perform microcanonical classical statistical lattice simulations of SU(N) Yang-Mills theory with eight scalars on a circle. Measuring the eigenvalue distribution of the spatial Wilson loop we find two distinct phases depending on the total energy and circle radius, which we tentatively interpret as corresponding to black hole and black string phases in a dual gravity picture. We proceed to study quenches by first preparing the system in one phase, rapidly changing the total energy, and monitoring the real-time system response. We observe that the system relaxes to the equilibrium phase corresponding to the new energy, in the process exhibiting characteristic damped oscillations. We interpret this as the topology change from black hole to black string configurations, with damped oscillations corresponding to quasi-normal mode ringing of the black hole/black string final state. This would suggest that alpha' corrections alone can resolve the singularity associated with the topology change. We extract the real and imaginary part of the lowest-lying presumptive quasinormal mode as a function of energy and N. |
hep-th/0412118 | Ernesto Lozano-Tellechea | Giovanni Arcioni and Ernesto Lozano-Tellechea | Stability and Critical Phenomena of Black Holes and Black Rings | 46 pages, 10 figures. v2: Minor modifications and clarifying remarks
added. Appendix added. References added | Phys.Rev. D72 (2005) 104021 | 10.1103/PhysRevD.72.104021 | WIS/27/04-DEC-DPP | hep-th gr-qc | null | We revisit the general topic of thermodynamical stability and critical
phenomena in black hole physics, analyzing in detail the phase diagram of the
five dimensional rotating black hole and the black rings discovered by Emparan
and Reall. First we address the issue of microcanonical stability of these
spacetimes and its relation to thermodynamics by using the so-called Poincare
(or "turning point") method, which we review in detail. We are able to prove
that one of the black ring branches is always locally unstable, showing that
there is a change of stability at the point where the two black ring branches
meet. Next we study divergence of fluctuations, the geometry of the
thermodynamic state space (Ruppeiner geometry) and compute the appropriate
critical exponents and verify the scaling laws familiar from RG theory in
statistical mechanics. We find that, at extremality, the behaviour of the
system is formally very similar to a second order phase transition.
| [
{
"created": "Sun, 12 Dec 2004 17:59:41 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Feb 2005 15:04:31 GMT",
"version": "v2"
}
] | 2013-05-29 | [
[
"Arcioni",
"Giovanni",
""
],
[
"Lozano-Tellechea",
"Ernesto",
""
]
] | We revisit the general topic of thermodynamical stability and critical phenomena in black hole physics, analyzing in detail the phase diagram of the five dimensional rotating black hole and the black rings discovered by Emparan and Reall. First we address the issue of microcanonical stability of these spacetimes and its relation to thermodynamics by using the so-called Poincare (or "turning point") method, which we review in detail. We are able to prove that one of the black ring branches is always locally unstable, showing that there is a change of stability at the point where the two black ring branches meet. Next we study divergence of fluctuations, the geometry of the thermodynamic state space (Ruppeiner geometry) and compute the appropriate critical exponents and verify the scaling laws familiar from RG theory in statistical mechanics. We find that, at extremality, the behaviour of the system is formally very similar to a second order phase transition. |
hep-th/0106018 | Musongela Lubo | M.Lubo | Maximally localized states and causality in non commutative quantum
theories | 11 pages, Revtex. The presentation has been improved, the subsection
on high dimensions has been modified. This version will appear in PRD | Phys.Rev. D65 (2002) 066003 | 10.1103/PhysRevD.65.066003 | UMH-MG/01-02 | hep-th | null | We give simple representations for quantum theories in which the position
commutators are non vanishing constants. A particular representation reproduces
results found using the Moyal star product. The notion of exact localization
being meaningless in these theories, we adapt the notion of ``maximally
localized states'' developed in another context . We find that gaussian
functions play this role in a 2+1 dimensional model in which the non
commutation relations concern positions only. An interpretation of the wave
function in this non commutative geometry is suggested. We also analyze higher
dimensional cases. A possible incidence on the causality issue for a Q.F.T with
a non commuting time is sketched.
| [
{
"created": "Sat, 2 Jun 2001 13:28:18 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Dec 2001 08:45:13 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Lubo",
"M.",
""
]
] | We give simple representations for quantum theories in which the position commutators are non vanishing constants. A particular representation reproduces results found using the Moyal star product. The notion of exact localization being meaningless in these theories, we adapt the notion of ``maximally localized states'' developed in another context . We find that gaussian functions play this role in a 2+1 dimensional model in which the non commutation relations concern positions only. An interpretation of the wave function in this non commutative geometry is suggested. We also analyze higher dimensional cases. A possible incidence on the causality issue for a Q.F.T with a non commuting time is sketched. |
hep-th/9705149 | Stephen G. Naculich | S. G. Naculich and H. J. Schnitzer | Superconformal Coset Equivalence from Level-Rank Duality | 25 pages, harvmac, no figures, added reference | Nucl.Phys. B505 (1997) 727-748 | 10.1016/S0550-3213(97)00579-8 | HUTP-97/A019, BOW-PH-108, BRX-TH-413 | hep-th | null | We construct a one-to-one map between the primary fields of the N=2
superconformal Kazama-Suzuki models G(m,n,k) and G(k,n,m) based on complex
Grassmannian cosets, using level-rank duality of Wess-Zumino-Witten models. We
then show that conformal weights, superconformal U(1) charges, modular
transformation matrices, and fusion rules are preserved under this map,
providing strong evidence for the equivalence of these coset models.
| [
{
"created": "Tue, 20 May 1997 20:05:36 GMT",
"version": "v1"
},
{
"created": "Fri, 23 May 1997 19:42:48 GMT",
"version": "v2"
},
{
"created": "Thu, 17 Jul 1997 14:27:18 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Naculich",
"S. G.",
""
],
[
"Schnitzer",
"H. J.",
""
]
] | We construct a one-to-one map between the primary fields of the N=2 superconformal Kazama-Suzuki models G(m,n,k) and G(k,n,m) based on complex Grassmannian cosets, using level-rank duality of Wess-Zumino-Witten models. We then show that conformal weights, superconformal U(1) charges, modular transformation matrices, and fusion rules are preserved under this map, providing strong evidence for the equivalence of these coset models. |
1001.2306 | Andrea Prinsloo | Alex Hamilton, Jeff Murugan, Andrea Prinsloo | Lessons from giant gravitons on $AdS_{5}\times T^{1,1}$ | 39 pages; abstract reworded slightly; additional comments included in
subsection 3.3; section 5 revised with the addition of subsection 5.3; added
references | JHEP 1006:017,2010 | 10.1007/JHEP06(2010)017 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We implement Mikhailov's holomorphic curve construction to explore various
properties of giant gravitons in type IIB string theory on $AdS_{5}\times
T^{1,1}$. By coloring the D-brane worldvolume, we are able to show how, in the
string theory, the giant graviton factorizes at its maximal size into two
dibaryons - topologically stable D-branes wrapping non-contractible cycles in
the $T^{1,1}$. This is related to the structure of the symmetry group of the
emergent Klebanov-Witten gauge theory being a product - $SU(N) \times SU(N)$
instead of the canonical $SU(N)$. Finally, we complete this study with a
systematic and detailed construction of the spectrum of small fluctuations
about the giant graviton configuration. Curiously, we find that the fluctuation
spectrum depends on the size of the giant. The similarity of the operator
structures in the Klebanov-Witten and ABJM theories leads us to believe that
the D4-brane giant graviton in type IIA string theory on $AdS_{4}\times
\mathbb{CP}^{3}$ factorizes into two $\mathbb{CP}^{2}$ dibaryons in a
qualitatively similar way.
| [
{
"created": "Wed, 13 Jan 2010 21:02:42 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Jan 2010 06:25:40 GMT",
"version": "v2"
},
{
"created": "Mon, 28 Jun 2010 15:27:32 GMT",
"version": "v3"
}
] | 2014-11-20 | [
[
"Hamilton",
"Alex",
""
],
[
"Murugan",
"Jeff",
""
],
[
"Prinsloo",
"Andrea",
""
]
] | We implement Mikhailov's holomorphic curve construction to explore various properties of giant gravitons in type IIB string theory on $AdS_{5}\times T^{1,1}$. By coloring the D-brane worldvolume, we are able to show how, in the string theory, the giant graviton factorizes at its maximal size into two dibaryons - topologically stable D-branes wrapping non-contractible cycles in the $T^{1,1}$. This is related to the structure of the symmetry group of the emergent Klebanov-Witten gauge theory being a product - $SU(N) \times SU(N)$ instead of the canonical $SU(N)$. Finally, we complete this study with a systematic and detailed construction of the spectrum of small fluctuations about the giant graviton configuration. Curiously, we find that the fluctuation spectrum depends on the size of the giant. The similarity of the operator structures in the Klebanov-Witten and ABJM theories leads us to believe that the D4-brane giant graviton in type IIA string theory on $AdS_{4}\times \mathbb{CP}^{3}$ factorizes into two $\mathbb{CP}^{2}$ dibaryons in a qualitatively similar way. |
1102.4857 | Alessio Marrani | Sergio Ferrara, Alessio Marrani, Armen Yeranyan | Freudenthal Duality and Generalized Special Geometry | 1+9 pages; v2: some parts rewritten, Ref. added, to appear in PLB | null | 10.1016/j.physletb.2011.06.031 | CERN-PH-TH/2011-028 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Freudenthal duality, introduced in L. Borsten, D. Dahanayake, M. J. Duff and
W. Rubens, Phys.Rev. D80, 026003 (2009), and defined as an anti-involution on
the dyonic charge vector in d = 4 space-time dimensions for those dualities
admitting a quartic invariant, is proved to be a symmetry not only of the
classical Bekenstein-Hawking entropy but also of the critical points of the
black hole potential. Furthermore, Freudenthal duality is extended to any
generalized special geometry, thus encompassing all N > 2 supergravities, as
well as N = 2 generic special geometry, not necessarily having a coset space
structure.
| [
{
"created": "Wed, 23 Feb 2011 21:07:41 GMT",
"version": "v1"
},
{
"created": "Sat, 25 Jun 2011 08:09:18 GMT",
"version": "v2"
}
] | 2015-05-27 | [
[
"Ferrara",
"Sergio",
""
],
[
"Marrani",
"Alessio",
""
],
[
"Yeranyan",
"Armen",
""
]
] | Freudenthal duality, introduced in L. Borsten, D. Dahanayake, M. J. Duff and W. Rubens, Phys.Rev. D80, 026003 (2009), and defined as an anti-involution on the dyonic charge vector in d = 4 space-time dimensions for those dualities admitting a quartic invariant, is proved to be a symmetry not only of the classical Bekenstein-Hawking entropy but also of the critical points of the black hole potential. Furthermore, Freudenthal duality is extended to any generalized special geometry, thus encompassing all N > 2 supergravities, as well as N = 2 generic special geometry, not necessarily having a coset space structure. |
hep-th/9301120 | null | A.P. Balachandran, G. Bimonte and P. Teotonio-Sobrinho | Edge States in 4D and their 3D Groups and Fields | 12 pages, SU-4240-429 | Mod. Phys. Lett. A8 (1993) 1305 | 10.1142/S0217732393001033 | null | hep-th | null | It is known that the Lagrangian for the edge states of a Chern-Simons theory
describes a coadjoint orbit of a Kac-Moody (KM) group with its associated
Kirillov symplectic form and group representation. It can also be obtained from
a chiral sector of a nonchiral field theory. We study the edge states of the
abelian $BF$ system in four dimensions (4d) and show the following results in
almost exact analogy: 1) The Lagrangian for these states is associated with a
certain 2d generalization of the KM group. It describes a coadjoint orbit of
this group as a Kirillov symplectic manifold and also the corresponding group
representation. 2) It can be obtained from with a ``self-dual" or
``anti-self-dual" sector of a Lagrangian describing a massless scalar and a
Maxwell field [ the phrase ``self-dual" here being used essentially in its
sense in monopole theory]. There are similar results for the nonabelian $BF$
system as well. These shared features of edge states in 3d and 4d suggest that
the edge Lagrangians for $BF$ systems are certain natural generalizations of
field theory Lagrangians related to KM groups.
| [
{
"created": "Thu, 28 Jan 1993 22:55:00 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Balachandran",
"A. P.",
""
],
[
"Bimonte",
"G.",
""
],
[
"Teotonio-Sobrinho",
"P.",
""
]
] | It is known that the Lagrangian for the edge states of a Chern-Simons theory describes a coadjoint orbit of a Kac-Moody (KM) group with its associated Kirillov symplectic form and group representation. It can also be obtained from a chiral sector of a nonchiral field theory. We study the edge states of the abelian $BF$ system in four dimensions (4d) and show the following results in almost exact analogy: 1) The Lagrangian for these states is associated with a certain 2d generalization of the KM group. It describes a coadjoint orbit of this group as a Kirillov symplectic manifold and also the corresponding group representation. 2) It can be obtained from with a ``self-dual" or ``anti-self-dual" sector of a Lagrangian describing a massless scalar and a Maxwell field [ the phrase ``self-dual" here being used essentially in its sense in monopole theory]. There are similar results for the nonabelian $BF$ system as well. These shared features of edge states in 3d and 4d suggest that the edge Lagrangians for $BF$ systems are certain natural generalizations of field theory Lagrangians related to KM groups. |
hep-th/9405184 | Mark Burgess | Mark Burgess | Infrared Behaviour, sources and the Schwinger action principle | Revised version inluding cosmetic changes and some recent references | null | null | null | hep-th | null | The paper describes a dynamical analogy for the renormalization group which
leads to insights into its structure.
| [
{
"created": "Sat, 28 May 1994 08:13:53 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Nov 1994 08:02:33 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Burgess",
"Mark",
""
]
] | The paper describes a dynamical analogy for the renormalization group which leads to insights into its structure. |
0704.1746 | Parthasarathi Mitra | Bhramar Chatterjee, A. Ghosh and P. Mitra | Tunnelling from black holes and tunnelling into white holes | REVTeX, 6 pages; changed interpretation for white hole spacetimes; to
appear in PLB | Phys.Lett.B661:307-311,2008 | 10.1016/j.physletb.2008.02.034 | null | hep-th gr-qc | null | Hawking radiation is nowadays being understood as tunnelling through black
hole horizons. Here, the extension of the Hamilton-Jacobi approach to
tunnelling for non-rotating and rotating black holes in different non-singular
coordinate systems not only confirms this quantum emission from black holes but
also reveals the new phenomenon of absorption into white holes by quantum
mechanical tunnelling. The role of a boundary condition of total absorption or
emission is also clarified.
| [
{
"created": "Fri, 13 Apr 2007 12:06:44 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Apr 2007 11:45:19 GMT",
"version": "v2"
},
{
"created": "Thu, 17 May 2007 09:07:14 GMT",
"version": "v3"
},
{
"created": "Wed, 20 Feb 2008 05:02:07 GMT",
"version": "v4"
}
] | 2010-04-29 | [
[
"Chatterjee",
"Bhramar",
""
],
[
"Ghosh",
"A.",
""
],
[
"Mitra",
"P.",
""
]
] | Hawking radiation is nowadays being understood as tunnelling through black hole horizons. Here, the extension of the Hamilton-Jacobi approach to tunnelling for non-rotating and rotating black holes in different non-singular coordinate systems not only confirms this quantum emission from black holes but also reveals the new phenomenon of absorption into white holes by quantum mechanical tunnelling. The role of a boundary condition of total absorption or emission is also clarified. |
hep-th/0405108 | Mikhail V. Ioffe | F. Cannata, M.V. Ioffe, A.I.Neelov, D.N. Nishnianidze | Higher Order Matrix SUSY Transformations in Two-Dimensional Quantum
Mechanics | 15 p | J.Phys.A37:10339-10348,2004 | 10.1088/0305-4470/37/43/021 | null | hep-th math-ph math.MP nlin.SI | null | The iteration procedure of supersymmetric transformations for the
two-dimensional Schroedinger operator is implemented by means of the matrix
form of factorization in terms of matrix 2x2 supercharges. Two different types
of iterations are investigated in detail. The particular case of diagonal
initial Hamiltonian is considered, and the existence of solutions is
demonstrated. Explicit examples illustrate the construction.
| [
{
"created": "Wed, 12 May 2004 09:08:22 GMT",
"version": "v1"
}
] | 2011-07-28 | [
[
"Cannata",
"F.",
""
],
[
"Ioffe",
"M. V.",
""
],
[
"Neelov",
"A. I.",
""
],
[
"Nishnianidze",
"D. N.",
""
]
] | The iteration procedure of supersymmetric transformations for the two-dimensional Schroedinger operator is implemented by means of the matrix form of factorization in terms of matrix 2x2 supercharges. Two different types of iterations are investigated in detail. The particular case of diagonal initial Hamiltonian is considered, and the existence of solutions is demonstrated. Explicit examples illustrate the construction. |
0910.1488 | Lars Andersson | Paul T. Allen, Lars Andersson and Alvaro Restuccia | Local well-posedness for membranes in the light cone gauge | 29 pages | Commun.Math.Phys.301:383-410,2011 | 10.1007/s00220-010-1141-5 | null | hep-th math.AP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we consider the classical initial value problem for the bosonic
membrane in light cone gauge. A Hamiltonian reduction gives a system with one
constraint, the area preserving constraint. The Hamiltonian evolution equations
corresponding to this system, however, fail to be hyperbolic. Making use of the
area preserving constraint, an equivalent system of evolution equations is
found, which is hyperbolic and has a well-posed initial value problem. We are
thus able to solve the initial value problem for the Hamiltonian evolution
equations by means of this equivalent system. We furthermore obtain a blowup
criterion for the membrane evolution equations, and show, making use of the
constraint, that one may achieve improved regularity estimates.
| [
{
"created": "Thu, 8 Oct 2009 12:30:33 GMT",
"version": "v1"
}
] | 2011-01-17 | [
[
"Allen",
"Paul T.",
""
],
[
"Andersson",
"Lars",
""
],
[
"Restuccia",
"Alvaro",
""
]
] | In this paper we consider the classical initial value problem for the bosonic membrane in light cone gauge. A Hamiltonian reduction gives a system with one constraint, the area preserving constraint. The Hamiltonian evolution equations corresponding to this system, however, fail to be hyperbolic. Making use of the area preserving constraint, an equivalent system of evolution equations is found, which is hyperbolic and has a well-posed initial value problem. We are thus able to solve the initial value problem for the Hamiltonian evolution equations by means of this equivalent system. We furthermore obtain a blowup criterion for the membrane evolution equations, and show, making use of the constraint, that one may achieve improved regularity estimates. |
0811.1268 | A Khodam-Mohammadi | A. Khodam-Mohammadi and M. Monshizadeh | Thermodynamics of Taub-NUT/Bolt-AdS Black Holes in Einstein-Gauss-Bonnet
Gravity | 19 pages, 3 figures, some Refs. are added, Fig 1 is replaced, and
some corrections are done | Phys.Rev.D79:044002,2009 | 10.1103/PhysRevD.79.044002 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give a review of the existence of Taub-NUT/bolt solutions in Einstein
Gauss-Bonnet gravity with the parameter $\alpha $ in six dimensions. Although
the spacetime with base space $S^{2}\times S^{2}$ has curvature singularity at
$r=N$, which does not admit NUT solutions, we may proceed with the same
computations as in the $\mathbb{CP}^{2}$ case. The investigation of
thermodynamics of NUT/Bolt solutions in six dimensions is carried out. We
compute the finite action, mass, entropy, and temperature of the black hole.
Then the validity of the first law of thermodynamics is demonstrated. It is
shown that in NUT solutions all thermodynamic quantities for both base spaces
are related to each other by substituting
$\alpha^{\mathbb{CP}^{k}}=[(k+1)/k]\alpha^{S^{2} \times S^{2}\times
>...S_{k}^{2}}$. So no further information is given by investigating NUT
solution in the $S^{2}\times S^{2}$ case. This relation is not true for bolt
solutions. A generalization of the thermodynamics of black holes to arbitrary
even dimensions is made using a new method based on the Gibbs-Duhem relation
and Gibbs free energy for NUT solutions. According to this method, the finite
action in Einstein Gauss-Bonnet is obtained by considering the generalized
finite action in Einstein gravity with an additional term as a function of
$\alpha$. Stability analysis is done by investigating the heat capacity and
entropy in the allowed range of $\alpha$, $\Lambda$ and $N$. For NUT solutions
in $d$ dimensions, there exist a stable phase at a narrow range of $\alpha$. In
six-dimensional Bolt solutions, metric is completely stable for
$\mathcal{B}=S^{2}\times S^{2}$, and is completely unstable for
$\mathcal{B}=\mathbb{CP}^{2}$ case.
| [
{
"created": "Sat, 8 Nov 2008 15:41:42 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Feb 2009 10:13:40 GMT",
"version": "v2"
}
] | 2009-02-20 | [
[
"Khodam-Mohammadi",
"A.",
""
],
[
"Monshizadeh",
"M.",
""
]
] | We give a review of the existence of Taub-NUT/bolt solutions in Einstein Gauss-Bonnet gravity with the parameter $\alpha $ in six dimensions. Although the spacetime with base space $S^{2}\times S^{2}$ has curvature singularity at $r=N$, which does not admit NUT solutions, we may proceed with the same computations as in the $\mathbb{CP}^{2}$ case. The investigation of thermodynamics of NUT/Bolt solutions in six dimensions is carried out. We compute the finite action, mass, entropy, and temperature of the black hole. Then the validity of the first law of thermodynamics is demonstrated. It is shown that in NUT solutions all thermodynamic quantities for both base spaces are related to each other by substituting $\alpha^{\mathbb{CP}^{k}}=[(k+1)/k]\alpha^{S^{2} \times S^{2}\times >...S_{k}^{2}}$. So no further information is given by investigating NUT solution in the $S^{2}\times S^{2}$ case. This relation is not true for bolt solutions. A generalization of the thermodynamics of black holes to arbitrary even dimensions is made using a new method based on the Gibbs-Duhem relation and Gibbs free energy for NUT solutions. According to this method, the finite action in Einstein Gauss-Bonnet is obtained by considering the generalized finite action in Einstein gravity with an additional term as a function of $\alpha$. Stability analysis is done by investigating the heat capacity and entropy in the allowed range of $\alpha$, $\Lambda$ and $N$. For NUT solutions in $d$ dimensions, there exist a stable phase at a narrow range of $\alpha$. In six-dimensional Bolt solutions, metric is completely stable for $\mathcal{B}=S^{2}\times S^{2}$, and is completely unstable for $\mathcal{B}=\mathbb{CP}^{2}$ case. |
0712.2479 | Radu Roiban | R. Roiban and A.A. Tseytlin | Spinning superstrings at two loops: strong-coupling corrections to
dimensions of large-twist SYM operators | 31 pages, Latex. v2:minor corrections; few comments and references
added v3: typos corrected | Phys.Rev.D77:066006,2008 | 10.1103/PhysRevD.77.066006 | Imperial-TP-AT-2007-5, NI07095 | hep-th | null | We consider folded spinning strings in AdS_5xS^5 (with one spin component S
in AdS_5 and J in S^5) corresponding to the Tr(D^S Z^J) operators in the sl(2)
sector of the N=4 SYM theory in the special scaling limit in which both the
string mass M ~ \sqrt \lambda \ln S and J are sent to infinity with their ratio
fixed. Expanding in the parameter \el= J/M we compute the 2-loop string sigma
model correction to the string energy and show that it agrees with the
expression proposed by Alday and Maldacena in arxiv:0708.0672. We suggest that
a resummation of the logarithmic \el^2 \ln^n \el terms is necessary in order to
establish an interpolation to the weakly coupled gauge theory results. In the
process, we set up a general framework for the calculation of higher loop
corrections to the energy of multi-spin string configurations. In particular,
we find that in addition to the direct 2-loop term in the string energy there
is a contribution from lower loop order due to a finite ``renormalization'' of
the relation between the parameters of the classical solution and the fixed
spins, i.e. the charges of the SO(2,4) x SO(6) symmetry.
| [
{
"created": "Mon, 17 Dec 2007 17:00:17 GMT",
"version": "v1"
},
{
"created": "Sat, 5 Jan 2008 16:24:36 GMT",
"version": "v2"
},
{
"created": "Tue, 29 Jan 2008 21:42:24 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Roiban",
"R.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] | We consider folded spinning strings in AdS_5xS^5 (with one spin component S in AdS_5 and J in S^5) corresponding to the Tr(D^S Z^J) operators in the sl(2) sector of the N=4 SYM theory in the special scaling limit in which both the string mass M ~ \sqrt \lambda \ln S and J are sent to infinity with their ratio fixed. Expanding in the parameter \el= J/M we compute the 2-loop string sigma model correction to the string energy and show that it agrees with the expression proposed by Alday and Maldacena in arxiv:0708.0672. We suggest that a resummation of the logarithmic \el^2 \ln^n \el terms is necessary in order to establish an interpolation to the weakly coupled gauge theory results. In the process, we set up a general framework for the calculation of higher loop corrections to the energy of multi-spin string configurations. In particular, we find that in addition to the direct 2-loop term in the string energy there is a contribution from lower loop order due to a finite ``renormalization'' of the relation between the parameters of the classical solution and the fixed spins, i.e. the charges of the SO(2,4) x SO(6) symmetry. |
1812.06701 | El Hassan Saidi | E.H Saidi | Quantum line operators from Lax pairs | LaTeX, 51 pages, 5 figures | Journal of Mathematical Physics 61, 063501 (2020) | 10.1063/1.5121495 | null | hep-th nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by the realisation of Yang-Baxter equation of 2d Integrable models
in the 4d gauge theory of Costello-Witten-Yamazaki (CWY), we study the
embedding of integrable 2d Toda field models inside this construction. This is
done by using the Lax formulation of 2d integrable systems and by thinking of
the standard Lax pair $L_{\pm }$ in terms of components of CWY gauge connection
propagating along particular directions in the gauge bundle. We also use
results of the CWY theory to build quantum line operators for 2d Toda models
and compute the one loop contribution of two intersecting lines exchanging one
gluon. Other features like local symmetries and comments on extension of our
method to other 2d integrable models are also discussed. We also comment
on\textrm{\ }some basic points that still need a refinement before talking
about a fully consistent embedding of Lax pairs into CWY theory.
| [
{
"created": "Mon, 17 Dec 2018 11:20:40 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Jul 2020 17:56:25 GMT",
"version": "v2"
}
] | 2020-07-21 | [
[
"Saidi",
"E. H",
""
]
] | Motivated by the realisation of Yang-Baxter equation of 2d Integrable models in the 4d gauge theory of Costello-Witten-Yamazaki (CWY), we study the embedding of integrable 2d Toda field models inside this construction. This is done by using the Lax formulation of 2d integrable systems and by thinking of the standard Lax pair $L_{\pm }$ in terms of components of CWY gauge connection propagating along particular directions in the gauge bundle. We also use results of the CWY theory to build quantum line operators for 2d Toda models and compute the one loop contribution of two intersecting lines exchanging one gluon. Other features like local symmetries and comments on extension of our method to other 2d integrable models are also discussed. We also comment on\textrm{\ }some basic points that still need a refinement before talking about a fully consistent embedding of Lax pairs into CWY theory. |
0904.4675 | George Georgiou | George Georgiou | Null Wilson loops with a self-crossing and the Wilson loop/amplitude
conjecture | 23 pages, 1 figure, typos corrected,references added | JHEP 0909:021,2009 | 10.1088/1126-6708/2009/09/021 | QMUL-PH-09-03 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The present study illuminates the relation between null cusped Wilson loops
and their corresponding amplitudes. We find that, compared to the case with no
self-crossing, the one loop expectation value of a self-intersecting Wilson
loop develops an additional 1/\epsilon singularity associated to the
intersection. Interestingly, the same 1/\epsilon pole exists in the finite part
of the one loop amplitude, appearing in the BDS conjecture, at the
corresponding kinematic limit. At two loops, we explore the behaviour of the
remainder function R, encoding the deviation of the amplitude from the BDS
conjecture. By analysing the renormalisation group equations for the Wilson
loop with a simple self-crossing, we argue that, when approaching the
configuration with a self-crossing (u_2 \to 1, u_1\approx u_3), R diverges in
the imaginary direction like R ~ i \pi \log^3(1-u_2). This behaviour can be
attributed to the non-trivial analytic continuation needed when passing from
the Euclidean to the physical region and suggests that R has a branch cut in
the negative u_2 axis when the two other cross ratios are approximately equal
(u_1 \approx u_3).
| [
{
"created": "Wed, 29 Apr 2009 19:08:00 GMT",
"version": "v1"
},
{
"created": "Thu, 21 May 2009 17:49:50 GMT",
"version": "v2"
},
{
"created": "Wed, 22 Jul 2009 11:42:18 GMT",
"version": "v3"
},
{
"created": "Sun, 20 Sep 2015 16:22:09 GMT",
"version": "v4"
}
] | 2015-09-22 | [
[
"Georgiou",
"George",
""
]
] | The present study illuminates the relation between null cusped Wilson loops and their corresponding amplitudes. We find that, compared to the case with no self-crossing, the one loop expectation value of a self-intersecting Wilson loop develops an additional 1/\epsilon singularity associated to the intersection. Interestingly, the same 1/\epsilon pole exists in the finite part of the one loop amplitude, appearing in the BDS conjecture, at the corresponding kinematic limit. At two loops, we explore the behaviour of the remainder function R, encoding the deviation of the amplitude from the BDS conjecture. By analysing the renormalisation group equations for the Wilson loop with a simple self-crossing, we argue that, when approaching the configuration with a self-crossing (u_2 \to 1, u_1\approx u_3), R diverges in the imaginary direction like R ~ i \pi \log^3(1-u_2). This behaviour can be attributed to the non-trivial analytic continuation needed when passing from the Euclidean to the physical region and suggests that R has a branch cut in the negative u_2 axis when the two other cross ratios are approximately equal (u_1 \approx u_3). |
2205.02285 | Subir Sachdev | Subir Sachdev | Statistical mechanics of strange metals and black holes | 18 pages, 6 figures. published in ICTS News, newsletter of the
International Centre for Theoretical Sciences, Tata Institute of Fundamental
Research; (v6) additional comments which include the results of
arXiv:2209.13608; (v7) small improvements | ICTS News, volume 8, issue 1 (2022) | null | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A colloquium style review of the connections between the Sachdev-Ye-Kitaev
model and strange metals without quasiparticles, and between the SYK model and
the quantum properties of black holes. Along with other insights, this
connection has led to an understanding of the universal form of the low energy
density of states of charged black holes in asymptotically 3+1 dimensional
Minkowski space.
| [
{
"created": "Wed, 4 May 2022 18:42:20 GMT",
"version": "v1"
},
{
"created": "Wed, 11 May 2022 21:54:12 GMT",
"version": "v2"
},
{
"created": "Wed, 15 Jun 2022 17:22:33 GMT",
"version": "v3"
},
{
"created": "Mon, 20 Jun 2022 09:39:12 GMT",
"version": "v4"
},
{
"created": "Tue, 4 Oct 2022 17:49:29 GMT",
"version": "v5"
},
{
"created": "Fri, 7 Oct 2022 16:05:16 GMT",
"version": "v6"
},
{
"created": "Sat, 29 Oct 2022 12:33:10 GMT",
"version": "v7"
},
{
"created": "Sat, 3 Dec 2022 23:12:05 GMT",
"version": "v8"
}
] | 2022-12-06 | [
[
"Sachdev",
"Subir",
""
]
] | A colloquium style review of the connections between the Sachdev-Ye-Kitaev model and strange metals without quasiparticles, and between the SYK model and the quantum properties of black holes. Along with other insights, this connection has led to an understanding of the universal form of the low energy density of states of charged black holes in asymptotically 3+1 dimensional Minkowski space. |
hep-th/0402197 | Gary McCartor | Eliana Vianello | Nonperturbative Effects from Perturbation Theory in Adjoint QCD_{1+1} | smu thesis | null | null | SMUHEP/03/1 | hep-th | null | SU(2) gauge theory coupled to massless fermions in the adjoint representation
is quantized in light-cone gauge by imposing the equal-time canonical algebra.
The theory is defined on a space-time cylinder with "twisted" boundary
conditions, periodic for one colour component (the diagonal 3- component) and
antiperiodic for the other two. The focus of the study is on the non-trivial
vacuum structure and the fermion condensate. It is shown that the
indefinite-metric quantization of free gauge bosons is not compatible with the
residual gauge symmetry of the interacting theory. A suitable quantization of
the unphysical modes of the gauge field is necessary in order to guarantee the
consistency of the subsidiary condition and allow the quantum representation of
the residual gauge symmetry of the classical Lagrangian: the 3-colour component
of the gauge field must be quantized in a space with an indefinite metric while
the other two components require a positive-definite metric. The contribution
of the latter to the free Hamiltonian becomes highly pathological in this
representation, but a larger portion of the interacting Hamiltonian can be
diagonalized, thus allowing perturbative calculations to be performed. The
vacuum is evaluated through second order in perturbation theory and this result
is used for an approximate determination of the fermion condensate.
| [
{
"created": "Tue, 24 Feb 2004 22:35:54 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Vianello",
"Eliana",
""
]
] | SU(2) gauge theory coupled to massless fermions in the adjoint representation is quantized in light-cone gauge by imposing the equal-time canonical algebra. The theory is defined on a space-time cylinder with "twisted" boundary conditions, periodic for one colour component (the diagonal 3- component) and antiperiodic for the other two. The focus of the study is on the non-trivial vacuum structure and the fermion condensate. It is shown that the indefinite-metric quantization of free gauge bosons is not compatible with the residual gauge symmetry of the interacting theory. A suitable quantization of the unphysical modes of the gauge field is necessary in order to guarantee the consistency of the subsidiary condition and allow the quantum representation of the residual gauge symmetry of the classical Lagrangian: the 3-colour component of the gauge field must be quantized in a space with an indefinite metric while the other two components require a positive-definite metric. The contribution of the latter to the free Hamiltonian becomes highly pathological in this representation, but a larger portion of the interacting Hamiltonian can be diagonalized, thus allowing perturbative calculations to be performed. The vacuum is evaluated through second order in perturbation theory and this result is used for an approximate determination of the fermion condensate. |
hep-th/0005083 | Simionato Michele | Michele Simionato | On the Consistency of the Exact Renormalization Group Approach Applied
to Gauge Theories in Algebraic Non-Covariant Gauges | Latex2e, 49 pages, 2 EPS figures. Misprints corrected. Version to be
published on IJMPA | Int.J.Mod.Phys.A15:4811-4848,2000 | 10.1142/S0217751X00002196 | null | hep-th hep-ph | null | We study a class of Wilsonian formulations of non-Abelian gauge theories in
algebraic non-covariant gauges where the Wilsonian infrared cutoff $\Lambda$ is
inserted as a mass term for the propagating fields. In this way the
Ward-Takahashi identities are preserved to all scales. Nevertheless
BRST-invariance in broken and the theory is gauge-dependent and unphysical at
$\Lambda\neq0$. Then we discuss the infrared limit $\Lambda\to0$. We show that
the singularities of the axial gauge choice are avoided in planar gauge and
light-cone gauge. In addition the issue of infrared divergences is addressed in
some explicit example. Finally the rectangular Wilson loop of size $2L\times
2T$ is evaluated at lowest order in perturbation theory and a non commutativity
between the limits $\Lambda\to0$ and $T\to\infty$ is pointed out.
| [
{
"created": "Tue, 9 May 2000 13:37:47 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Sep 2000 13:58:39 GMT",
"version": "v2"
}
] | 2011-08-17 | [
[
"Simionato",
"Michele",
""
]
] | We study a class of Wilsonian formulations of non-Abelian gauge theories in algebraic non-covariant gauges where the Wilsonian infrared cutoff $\Lambda$ is inserted as a mass term for the propagating fields. In this way the Ward-Takahashi identities are preserved to all scales. Nevertheless BRST-invariance in broken and the theory is gauge-dependent and unphysical at $\Lambda\neq0$. Then we discuss the infrared limit $\Lambda\to0$. We show that the singularities of the axial gauge choice are avoided in planar gauge and light-cone gauge. In addition the issue of infrared divergences is addressed in some explicit example. Finally the rectangular Wilson loop of size $2L\times 2T$ is evaluated at lowest order in perturbation theory and a non commutativity between the limits $\Lambda\to0$ and $T\to\infty$ is pointed out. |
1010.1109 | Chanyong Park | Bum-Hoon Lee, Chanyong Park and Sunyoung Shin | Holographic 1/Nc correction from the chiral condensate | 19 pages, 12 figures | JHEP 1012:071,2010 | 10.1007/JHEP12(2010)071 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate a gravity solution containing the gravitational backreaction
of the massive scalar field dual to the chiral condensate, which corresponds to
$1/N_c$ correction. In general, condensation changes the vacuum structure, so
the present dual geometry is appropriate to describe the chiral condensate
vacuum in the gauge theory side. After constructing the dual geometry
numerically and applying the hard wall model we study the effect of the $1/N_c$
correction on the lightest meson spectra, which improves the values for
lightest meson masses into the observations. In addition, we investigate the
chiral condensate dependence the binding energy of heavy quarkonium.
| [
{
"created": "Wed, 6 Oct 2010 09:59:31 GMT",
"version": "v1"
}
] | 2011-01-13 | [
[
"Lee",
"Bum-Hoon",
""
],
[
"Park",
"Chanyong",
""
],
[
"Shin",
"Sunyoung",
""
]
] | We investigate a gravity solution containing the gravitational backreaction of the massive scalar field dual to the chiral condensate, which corresponds to $1/N_c$ correction. In general, condensation changes the vacuum structure, so the present dual geometry is appropriate to describe the chiral condensate vacuum in the gauge theory side. After constructing the dual geometry numerically and applying the hard wall model we study the effect of the $1/N_c$ correction on the lightest meson spectra, which improves the values for lightest meson masses into the observations. In addition, we investigate the chiral condensate dependence the binding energy of heavy quarkonium. |
1412.6526 | Jonathan Heckman | Michele Del Zotto, Jonathan J. Heckman, David R. Morrison, Daniel S.
Park | 6D SCFTs and Gravity | 46 pages, 5 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study how to couple a 6D superconformal field theory (SCFT) to gravity. In
F-theory, the models in question are obtained working on the supersymmetric
background R^{5,1} x B where B is the base of a compact elliptically fibered
Calabi-Yau threefold in which two-cycles have contracted to zero size. When the
base has orbifold singularities, we find that the anomaly polynomial of the 6D
SCFTs can be understood purely in terms of the intersection theory of
fractional divisors: the anomaly coefficient vectors are identified with
elements of the orbifold homology. This also explains why in certain cases, the
SCFT can appear to contribute a "fraction of a hypermultiplet" to the anomaly
polynomial. Quantization of the lattice of string charges also predicts the
existence of additional light states beyond those captured by such fractional
divisors. This amounts to a refinement to the lattice of divisors in the
resolved geometry. We illustrate these general considerations with explicit
examples, focusing on the case of F-theory on an elliptic Calabi-Yau threefold
with base P^2 / Z_3.
| [
{
"created": "Fri, 19 Dec 2014 21:00:06 GMT",
"version": "v1"
}
] | 2014-12-23 | [
[
"Del Zotto",
"Michele",
""
],
[
"Heckman",
"Jonathan J.",
""
],
[
"Morrison",
"David R.",
""
],
[
"Park",
"Daniel S.",
""
]
] | We study how to couple a 6D superconformal field theory (SCFT) to gravity. In F-theory, the models in question are obtained working on the supersymmetric background R^{5,1} x B where B is the base of a compact elliptically fibered Calabi-Yau threefold in which two-cycles have contracted to zero size. When the base has orbifold singularities, we find that the anomaly polynomial of the 6D SCFTs can be understood purely in terms of the intersection theory of fractional divisors: the anomaly coefficient vectors are identified with elements of the orbifold homology. This also explains why in certain cases, the SCFT can appear to contribute a "fraction of a hypermultiplet" to the anomaly polynomial. Quantization of the lattice of string charges also predicts the existence of additional light states beyond those captured by such fractional divisors. This amounts to a refinement to the lattice of divisors in the resolved geometry. We illustrate these general considerations with explicit examples, focusing on the case of F-theory on an elliptic Calabi-Yau threefold with base P^2 / Z_3. |
hep-th/9411230 | Jakub Rembielinski | J. Rembielinski | Tachyonic neutrinos? | 8 pp., RevTeX (AmSsymb removed, due to reported troubles with
processing) | null | null | KFT UL 5/94 | hep-th astro-ph gr-qc hep-ph | null | It is shown that tachyons are associated with unitary representations of
Poincare mappings induced from SO(2) little group instead of SO(2,1) one. This
allows us to treat more seriously possibility that neutrinos are fermionic
tachyons according to the present experimental data.
| [
{
"created": "Wed, 30 Nov 1994 22:07:37 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Dec 1994 21:21:21 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Rembielinski",
"J.",
""
]
] | It is shown that tachyons are associated with unitary representations of Poincare mappings induced from SO(2) little group instead of SO(2,1) one. This allows us to treat more seriously possibility that neutrinos are fermionic tachyons according to the present experimental data. |
2212.05670 | Katsuki Aoki | Katsuki Aoki | Unitarity and unstable-particle scattering amplitudes | 11 + 5 pages, 7 figures, published version | null | 10.1103/PhysRevD.107.065017 | YITP-22-153 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Unitarity is the fundamental property of the S-matrix while its usage for a
scattering of unstable particles has been subtle as unstable particles do not
appear in the asymptotic states. Defining unstable-particle amplitudes as
residues of a higher-point amplitude at an appropriate complex pole, we find
unitarity equations for the 2-to-2 unstable-particle amplitudes from unitarity
and analyticity of stable-particle scattering amplitudes. The unstable-particle
unitarity equations take a form analogous to those of the stable-particle
amplitudes when the in and out states are chosen to be complex-conjugate
positions. In particular, as in the optical theorem, we find a positivity
constraint on a discontinuity of the amplitudes in a positive region of the
momentum transfer variable.
| [
{
"created": "Mon, 12 Dec 2022 02:56:54 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Mar 2023 09:18:50 GMT",
"version": "v2"
}
] | 2023-04-05 | [
[
"Aoki",
"Katsuki",
""
]
] | Unitarity is the fundamental property of the S-matrix while its usage for a scattering of unstable particles has been subtle as unstable particles do not appear in the asymptotic states. Defining unstable-particle amplitudes as residues of a higher-point amplitude at an appropriate complex pole, we find unitarity equations for the 2-to-2 unstable-particle amplitudes from unitarity and analyticity of stable-particle scattering amplitudes. The unstable-particle unitarity equations take a form analogous to those of the stable-particle amplitudes when the in and out states are chosen to be complex-conjugate positions. In particular, as in the optical theorem, we find a positivity constraint on a discontinuity of the amplitudes in a positive region of the momentum transfer variable. |
2311.14436 | Jake Gordin | Jake E. B. Gordin, Kelly MacDevette, Jenna Bruton | The dynamics of three-forms in thick branes | null | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | In this work, we investigate thick brane models with a single three-form
field. We find novel solutions for thick braneworlds where only three-forms
exist and interact gravitationally in the bulk, both with and without matter
fields. We use an additional scalar field as proxy for the matter fields. As an
initial study, we consider the results here in contrast to the single scalar
field thick braneworld case. The properties of the specific three-form
parameterisation limits the freedom we have to choose the form of the warp
factor, leading to a closed system of equations with nontrivial yet unstable
solutions. The stability of the gravitational sector for thick brane
three-forms is investigated and the models are shown to be unstable against
small perturbations of the metric, further indicating that three-forms cannot
exist stably in thick braneworld settings.
| [
{
"created": "Fri, 24 Nov 2023 12:22:17 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Nov 2023 08:43:10 GMT",
"version": "v2"
}
] | 2023-11-28 | [
[
"Gordin",
"Jake E. B.",
""
],
[
"MacDevette",
"Kelly",
""
],
[
"Bruton",
"Jenna",
""
]
] | In this work, we investigate thick brane models with a single three-form field. We find novel solutions for thick braneworlds where only three-forms exist and interact gravitationally in the bulk, both with and without matter fields. We use an additional scalar field as proxy for the matter fields. As an initial study, we consider the results here in contrast to the single scalar field thick braneworld case. The properties of the specific three-form parameterisation limits the freedom we have to choose the form of the warp factor, leading to a closed system of equations with nontrivial yet unstable solutions. The stability of the gravitational sector for thick brane three-forms is investigated and the models are shown to be unstable against small perturbations of the metric, further indicating that three-forms cannot exist stably in thick braneworld settings. |
hep-th/9604139 | Itzhak Bars | Itzhak Bars | Supersymmetry, p-brane duality and hidden space and time dimensions | Latex, 18 pages. Eqs.(21),(22) corrected and made consistent with
Table I | Phys.Rev. D54 (1996) 5203-5210 | 10.1103/PhysRevD.54.5203 | USC-96/HEP-B3 | hep-th | null | A global superalgebra with 32 supercharges and all possible central
extensions is studied in order to extract some general properties of duality
and hidden dimensions in a theory that treats $p$-branes democratically. The
maximal number of dimensions is 12, with signature (10,2), containing one space
and one time dimensions that are hidden from the point of view of perturbative
10-dimensional string theory or its compactifications. When the theory is
compactified on $R^{d-1,1}\otimes T^{c+1,1}$ with $d+c+2=12,$ there are
isometry groups that relate to the hidden dimensions as well as to duality.
Their combined classification schemes provide some properties of
non-perturbative states and their couplings.
| [
{
"created": "Tue, 23 Apr 1996 04:25:51 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Jun 1996 05:35:24 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Bars",
"Itzhak",
""
]
] | A global superalgebra with 32 supercharges and all possible central extensions is studied in order to extract some general properties of duality and hidden dimensions in a theory that treats $p$-branes democratically. The maximal number of dimensions is 12, with signature (10,2), containing one space and one time dimensions that are hidden from the point of view of perturbative 10-dimensional string theory or its compactifications. When the theory is compactified on $R^{d-1,1}\otimes T^{c+1,1}$ with $d+c+2=12,$ there are isometry groups that relate to the hidden dimensions as well as to duality. Their combined classification schemes provide some properties of non-perturbative states and their couplings. |
2205.14596 | Yuxuan Liu | Yuxuan Liu, Zhuo-Yu Xian, Cheng Peng and Yi Ling | Black holes Entangled by Radiation | 38 pages, 16 figures; V2: references added, minor revision; V3:
references added, minor revision; typo revision; | null | 10.1007/JHEP09(2022)179 | null | hep-th cond-mat.str-el gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct three models to describe the scenario where two eternal black
holes are separated by a flat space, and can eventually be entangled by
exchanging radiations. In the doubly holographic setup, we compute the
entanglement entropy and the mutual information among the subsystems and obtain
the dynamic phase structure of the entanglement. The formation of entanglement
between the two black holes is delayed by the space where the radiations must
travel through. Finally, if the two black holes exchange sufficient Hawking
modes, the final state is characterized by a connected entanglement wedge;
otherwise, the final entanglement wedge contains two separated islands. In the
former case, the entanglement wedge of the two black holes forms at the time
scale of the size of the flat space between them. While in both cases,
unitarity of the evolution is preserved. When the sizes of two black holes are
not equal, we observe a loss of entanglement between the smaller black hole and
the radiation at late times. In the field theory side, we consider two
Sachdev-Ye-Kitaev (SYK) clusters coupled to a Majorana chain, which resemble
two black holes connected by a radiation region. We numerically compute the
same entanglement measures, and obtain similar phase structures as the bulk
results. In general, a time delay of the entanglement between the two SYK
clusters is found in cases with a long Majorana chain. In particular, when the
two SYK clusters are different in size, similar entanglement loss between the
smaller SYK cluster and the Majorana chain is observed. Finally, we investigate
a chain model composed of EPR clusters with particle exchanges between
neighboring clusters, and reproduce the features of entanglement observed in
the other models.
| [
{
"created": "Sun, 29 May 2022 08:19:20 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Jun 2022 17:11:54 GMT",
"version": "v2"
},
{
"created": "Tue, 8 Nov 2022 07:40:14 GMT",
"version": "v3"
}
] | 2022-11-09 | [
[
"Liu",
"Yuxuan",
""
],
[
"Xian",
"Zhuo-Yu",
""
],
[
"Peng",
"Cheng",
""
],
[
"Ling",
"Yi",
""
]
] | We construct three models to describe the scenario where two eternal black holes are separated by a flat space, and can eventually be entangled by exchanging radiations. In the doubly holographic setup, we compute the entanglement entropy and the mutual information among the subsystems and obtain the dynamic phase structure of the entanglement. The formation of entanglement between the two black holes is delayed by the space where the radiations must travel through. Finally, if the two black holes exchange sufficient Hawking modes, the final state is characterized by a connected entanglement wedge; otherwise, the final entanglement wedge contains two separated islands. In the former case, the entanglement wedge of the two black holes forms at the time scale of the size of the flat space between them. While in both cases, unitarity of the evolution is preserved. When the sizes of two black holes are not equal, we observe a loss of entanglement between the smaller black hole and the radiation at late times. In the field theory side, we consider two Sachdev-Ye-Kitaev (SYK) clusters coupled to a Majorana chain, which resemble two black holes connected by a radiation region. We numerically compute the same entanglement measures, and obtain similar phase structures as the bulk results. In general, a time delay of the entanglement between the two SYK clusters is found in cases with a long Majorana chain. In particular, when the two SYK clusters are different in size, similar entanglement loss between the smaller SYK cluster and the Majorana chain is observed. Finally, we investigate a chain model composed of EPR clusters with particle exchanges between neighboring clusters, and reproduce the features of entanglement observed in the other models. |
1209.5216 | Kamal Lochan Panigrahi | Tanay K. Dey and Kamal L. Panigrahi | Mass Deformed L-BLG Theory From ABJ Theory | 19 pages, to appear in Phys. Rev. D | null | 10.1103/PhysRevD.86.126007 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct mass deformed SU(N) L-BLG theory together with $U(M-N)_k$
Chern-Simons theory. This mass deformed L-BLG theory is a low energy world
volume theory of a stack of $N$ number of M2-brane far away from $C^4/Z_k$
singularity. We carry out this by defining a special scaling limit of the
fields of this theory and simultaneously sending the Chern-Simons level to
infinity.
| [
{
"created": "Mon, 24 Sep 2012 10:19:58 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Oct 2012 12:42:55 GMT",
"version": "v2"
},
{
"created": "Thu, 15 Nov 2012 11:26:39 GMT",
"version": "v3"
}
] | 2013-05-30 | [
[
"Dey",
"Tanay K.",
""
],
[
"Panigrahi",
"Kamal L.",
""
]
] | We construct mass deformed SU(N) L-BLG theory together with $U(M-N)_k$ Chern-Simons theory. This mass deformed L-BLG theory is a low energy world volume theory of a stack of $N$ number of M2-brane far away from $C^4/Z_k$ singularity. We carry out this by defining a special scaling limit of the fields of this theory and simultaneously sending the Chern-Simons level to infinity. |
2311.09156 | Blagoje Oblak | Jorrit Bosma, Marc Geiller, Sucheta Majumdar, Blagoje Oblak | Radiative Asymptotic Symmetries of 3D Einstein-Maxwell Theory | 50 pages, 1 figure. v2: added references and a paragraph in the
conclusion on supersymmetric extensions | SciPost Phys. 16, 092 (2024) | 10.21468/SciPostPhys.16.4.092 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We study the null asymptotic structure of Einstein-Maxwell theory in
three-dimensional (3D) spacetimes. Although devoid of bulk gravitational
degrees of freedom, the system admits a massless photon and can therefore
accommodate electromagnetic radiation. We derive fall-off conditions for the
Maxwell field that contain both Coulombic and radiative modes with
non-vanishing news. The latter produces non-integrability and fluxes in the
asymptotic surface charges, and gives rise to a non-trivial 3D Bondi mass loss
formula. The resulting solution space is thus analogous to a dimensional
reduction of 4D pure gravity, with the role of gravitational radiation played
by its electromagnetic cousin. We use this simplified setup to investigate
choices of charge brackets in detail, and compute in particular the recently
introduced Koszul bracket. When the latter is applied to Wald-Zoupas charges,
which are conserved in the absence of news, it leads to the field-dependent
central extension found earlier in [arXiv:1503.00856]. We also consider
(Anti-)de Sitter asymptotics to further exhibit the analogy between this model
and 4D gravity with leaky boundary conditions.
| [
{
"created": "Wed, 15 Nov 2023 17:55:20 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Mar 2024 10:47:58 GMT",
"version": "v2"
}
] | 2024-04-03 | [
[
"Bosma",
"Jorrit",
""
],
[
"Geiller",
"Marc",
""
],
[
"Majumdar",
"Sucheta",
""
],
[
"Oblak",
"Blagoje",
""
]
] | We study the null asymptotic structure of Einstein-Maxwell theory in three-dimensional (3D) spacetimes. Although devoid of bulk gravitational degrees of freedom, the system admits a massless photon and can therefore accommodate electromagnetic radiation. We derive fall-off conditions for the Maxwell field that contain both Coulombic and radiative modes with non-vanishing news. The latter produces non-integrability and fluxes in the asymptotic surface charges, and gives rise to a non-trivial 3D Bondi mass loss formula. The resulting solution space is thus analogous to a dimensional reduction of 4D pure gravity, with the role of gravitational radiation played by its electromagnetic cousin. We use this simplified setup to investigate choices of charge brackets in detail, and compute in particular the recently introduced Koszul bracket. When the latter is applied to Wald-Zoupas charges, which are conserved in the absence of news, it leads to the field-dependent central extension found earlier in [arXiv:1503.00856]. We also consider (Anti-)de Sitter asymptotics to further exhibit the analogy between this model and 4D gravity with leaky boundary conditions. |
1109.2931 | Rodolfo Casana | C. Miller, R. Casana, M. M. Ferreira Jr, E. da Hora | Uncharged compactlike and fractional Lorentz-violating BPS vortices in
the CPT-even sector of the standard model extension | 13 pages Latex2e | Phys.Rev. D86 (2012) 065011 | 10.1103/PhysRevD.86.065011 | null | hep-th cond-mat.soft cond-mat.supr-con quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We have investigated and verified the existence of stable uncharged
Bogomol'nyi-Prasad-Sommerfeld (BPS) vortices in the framework of an Abelian
Maxwell-Higgs model supplemented with CPT-even and Lorentz-violating (LV) terms
belonging to the gauge and Higgs sectors of the standard model extension. The
analysis is performed in two situations: first, one by considering the Lorentz
violation only in the gauge sector and then in both gauge and Higgs sectors. In
the first case, it is observed that the model supports vortices somehow
equivalent to the ones appearing in a dielectric medium. The Lorentz violation
controls the radial extension (core of the solution) and the magnetic field
amplitude of the Abrikosov-Nielsen-Olesen vortices, yielding compactlike
defects in an alternative and simpler way than that of $k-$field models. At the
end, we consider the Lorentz-violating terms in the gauge and Higgs sectors. It
is shown that the full model also supports compactlike uncharged BPS vortices
in a modified vacuum, but this time there are two LV parameters controlling the
defect structure. Moreover, an interesting novelty is introduced by the
LV-Higgs sector: fractional vortex solutions.
| [
{
"created": "Tue, 13 Sep 2011 21:11:16 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Mar 2012 00:10:28 GMT",
"version": "v2"
},
{
"created": "Sat, 11 Aug 2012 03:01:48 GMT",
"version": "v3"
},
{
"created": "Mon, 8 Oct 2012 03:50:43 GMT",
"version": "v4"
}
] | 2012-10-09 | [
[
"Miller",
"C.",
""
],
[
"Casana",
"R.",
""
],
[
"Ferreira",
"M. M.",
"Jr"
],
[
"da Hora",
"E.",
""
]
] | We have investigated and verified the existence of stable uncharged Bogomol'nyi-Prasad-Sommerfeld (BPS) vortices in the framework of an Abelian Maxwell-Higgs model supplemented with CPT-even and Lorentz-violating (LV) terms belonging to the gauge and Higgs sectors of the standard model extension. The analysis is performed in two situations: first, one by considering the Lorentz violation only in the gauge sector and then in both gauge and Higgs sectors. In the first case, it is observed that the model supports vortices somehow equivalent to the ones appearing in a dielectric medium. The Lorentz violation controls the radial extension (core of the solution) and the magnetic field amplitude of the Abrikosov-Nielsen-Olesen vortices, yielding compactlike defects in an alternative and simpler way than that of $k-$field models. At the end, we consider the Lorentz-violating terms in the gauge and Higgs sectors. It is shown that the full model also supports compactlike uncharged BPS vortices in a modified vacuum, but this time there are two LV parameters controlling the defect structure. Moreover, an interesting novelty is introduced by the LV-Higgs sector: fractional vortex solutions. |
hep-th/9206109 | Francois Gieres | Francois Gieres | Maurer-Cartan forms and equations for two-dimensional
superdiffeomorphisms | (LATEX, 8 pages), MPI-Ph/92-43 | J.Math.Phys. 34 (1993) 836-843 | 10.1063/1.530225 | null | hep-th | null | We present explicit expressions for the Maurer-Cartan forms of the
superdiffeomorphism group associated to a super Riemann surface. As an
application to superconformal field theory, we use these forms to evaluate the
effective action for the factorized superdiffeomorphism anomaly.
| [
{
"created": "Mon, 29 Jun 1992 23:47:40 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Gieres",
"Francois",
""
]
] | We present explicit expressions for the Maurer-Cartan forms of the superdiffeomorphism group associated to a super Riemann surface. As an application to superconformal field theory, we use these forms to evaluate the effective action for the factorized superdiffeomorphism anomaly. |
1805.11914 | Michael Gutperle | Michael Gutperle, Christoph F. Uhlemann and Oscar Varela | Massive spin 2 excitations in $AdS_6\times S^2$ warped spacetimes | 16 pages, no figures, v2: minor edits, reference added, v3: minor
corrections, version accepted by JHEP | null | 10.1007/JHEP07(2018)091 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study (massive) spin-2 fluctuations around warped $AdS_6$ solutions with
$16$ supersymmetries in type IIB supergravity. We identify two classes of
fluctuations which are universally present for all solutions of this form. The
holographically dual operators have scaling dimensions $\Delta=5+3\ell$ and
$\Delta=6+3\ell$, where the integer $\ell$ encodes the $R$-symmetry charge.
They are identified as descendant states in respective BPS multiplets (the
current multiplet for $\Delta=5$). We also compute the normalization of the
energy-momentum tensor two-point function and show that it is related to the
$S^5$ partition function of the dual $5d$ SCFTs.
| [
{
"created": "Wed, 30 May 2018 12:10:24 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Jun 2018 16:12:18 GMT",
"version": "v2"
},
{
"created": "Tue, 10 Jul 2018 01:23:39 GMT",
"version": "v3"
}
] | 2018-08-15 | [
[
"Gutperle",
"Michael",
""
],
[
"Uhlemann",
"Christoph F.",
""
],
[
"Varela",
"Oscar",
""
]
] | We study (massive) spin-2 fluctuations around warped $AdS_6$ solutions with $16$ supersymmetries in type IIB supergravity. We identify two classes of fluctuations which are universally present for all solutions of this form. The holographically dual operators have scaling dimensions $\Delta=5+3\ell$ and $\Delta=6+3\ell$, where the integer $\ell$ encodes the $R$-symmetry charge. They are identified as descendant states in respective BPS multiplets (the current multiplet for $\Delta=5$). We also compute the normalization of the energy-momentum tensor two-point function and show that it is related to the $S^5$ partition function of the dual $5d$ SCFTs. |
2309.16640 | Moritz Kade | Moritz Kade, Matthias Staudacher | Brick wall diagrams as a completely integrable system | v3: published in JHEP, 22 pages, fixed typo in subscript of eq.
(3.8a) and (3.9a), improved labels of sub-equations in eq. (5.1) and (A.1),
added further acknowledgements | JHEP 01 (2024) 050 | null | HU-EP-23/52-RTG | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study the free energy of an integrable, planar, chiral and non-unitary
four-dimensional Yukawa theory, the bi-fermion fishnet theory discovered by
Pittelli and Preti. The typical Feynman-diagrams of this model are of regular
"brick-wall"-type, replacing the regular square lattices of standard fishnet
theory. We adapt A. B. Zamolodchikov's powerful classic computation of the
thermodynamic free energy of fishnet graphs to the brick-wall case in a
transparent fashion, and find the result in closed form. Finally, we briefly
discuss two further candidate integrable models in three and six dimensions
related to the brick wall model.
| [
{
"created": "Thu, 28 Sep 2023 17:49:17 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Oct 2023 16:41:29 GMT",
"version": "v2"
},
{
"created": "Thu, 15 Feb 2024 11:16:40 GMT",
"version": "v3"
}
] | 2024-02-16 | [
[
"Kade",
"Moritz",
""
],
[
"Staudacher",
"Matthias",
""
]
] | We study the free energy of an integrable, planar, chiral and non-unitary four-dimensional Yukawa theory, the bi-fermion fishnet theory discovered by Pittelli and Preti. The typical Feynman-diagrams of this model are of regular "brick-wall"-type, replacing the regular square lattices of standard fishnet theory. We adapt A. B. Zamolodchikov's powerful classic computation of the thermodynamic free energy of fishnet graphs to the brick-wall case in a transparent fashion, and find the result in closed form. Finally, we briefly discuss two further candidate integrable models in three and six dimensions related to the brick wall model. |
0908.2568 | Johan Gunnesson | Cesar Gomez, Johan Gunnesson, Agustin Sabio Vera | Dual conformal invariance in the Regge limit | 10 pages. v2: clarifications and references added. v3: Minor
corrections, comments on non-planar extension of dual conformal symmetry
removed | Phys.Lett.B690:78-82,2010 | 10.1016/j.physletb.2010.04.077 | IFT-UAM/CSIC-09-38 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A dual conformal symmetry, analogous to the dual conformal symmetry observed
for the scattering amplitudes of N=4 Super Yang-Mills theory, is identified in
the Regge limit of QCD. Combined with the original two-dimensional conformal
symmetry of the theory, this dual symmetry can potentially explain the
integrability of the BFKL Hamiltonian. We also give evidence that the symmetry
survives when a subset of unitarity corrections are taken into account by
studying briefly the non-planar 2 to m reggeon transition vertices.
| [
{
"created": "Tue, 18 Aug 2009 13:16:09 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Oct 2009 13:34:39 GMT",
"version": "v2"
},
{
"created": "Fri, 14 May 2010 08:48:35 GMT",
"version": "v3"
}
] | 2014-11-20 | [
[
"Gomez",
"Cesar",
""
],
[
"Gunnesson",
"Johan",
""
],
[
"Vera",
"Agustin Sabio",
""
]
] | A dual conformal symmetry, analogous to the dual conformal symmetry observed for the scattering amplitudes of N=4 Super Yang-Mills theory, is identified in the Regge limit of QCD. Combined with the original two-dimensional conformal symmetry of the theory, this dual symmetry can potentially explain the integrability of the BFKL Hamiltonian. We also give evidence that the symmetry survives when a subset of unitarity corrections are taken into account by studying briefly the non-planar 2 to m reggeon transition vertices. |
hep-th/9710211 | null | B. Chakraborty (S. N. Bose Natl. Centr.) | Hamiltonian analysis of gauged CP^1 model, with or without Hopf term,
and fractional spin | 18 pages, Latex | null | null | null | hep-th | null | Recently it has been shown by Cho and Kimm that the gauged $CP^1$ model,
obtained by gauging the global SU(2) group of $CP^1$ model and adding a
corresponding Chern-Simons term, has got its own soliton. These solitons are
somewhat distinct from those of pure $CP^1$ model, as they cannot always be
characterised by $\pi_2(CP^1)=Z$. In this paper, we first carry out the
Hamiltonian analysis of this gauged $CP^1$ model. Then we couple the Hopf term,
associated to these solitons and again carry out its Hamiltonian analysis. The
symplectic structures, along with the structures of the constraints, of these
two models (with or without Hopf term) are found to be essentially the same.
The model with Hopf term, is then shown to have fractional spin, which however
depends not only on the soliton number $N$ but also on the nonabelian charge.
| [
{
"created": "Tue, 28 Oct 1997 10:32:53 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Chakraborty",
"B.",
"",
"S. N. Bose Natl. Centr."
]
] | Recently it has been shown by Cho and Kimm that the gauged $CP^1$ model, obtained by gauging the global SU(2) group of $CP^1$ model and adding a corresponding Chern-Simons term, has got its own soliton. These solitons are somewhat distinct from those of pure $CP^1$ model, as they cannot always be characterised by $\pi_2(CP^1)=Z$. In this paper, we first carry out the Hamiltonian analysis of this gauged $CP^1$ model. Then we couple the Hopf term, associated to these solitons and again carry out its Hamiltonian analysis. The symplectic structures, along with the structures of the constraints, of these two models (with or without Hopf term) are found to be essentially the same. The model with Hopf term, is then shown to have fractional spin, which however depends not only on the soliton number $N$ but also on the nonabelian charge. |
hep-th/0002176 | Kasper Olsen | Soonkeon Nam, Kasper Olsen | Domain Wall Junctions in Supersymmetric Field Theories in D=4 | 26 pages, 4 figures | JHEP 0008:001,2000 | 10.1088/1126-6708/2000/08/001 | HUTP-00/A003 | hep-th | null | We study the possible BPS domain wall junction configurations for general
polynomial superpotentials of N=1 supersymmetric Wess-Zumino models in D=4. We
scan the parameter space of the superpotential and find different possible BPS
states for different values of the deformation parameters and present our
results graphically. We comment on the domain walls in F/M/IIA theories
obtained from the Calabi-Yau fourfolds with isolated singularities and a
background flux.
| [
{
"created": "Mon, 21 Feb 2000 21:56:53 GMT",
"version": "v1"
}
] | 2010-02-05 | [
[
"Nam",
"Soonkeon",
""
],
[
"Olsen",
"Kasper",
""
]
] | We study the possible BPS domain wall junction configurations for general polynomial superpotentials of N=1 supersymmetric Wess-Zumino models in D=4. We scan the parameter space of the superpotential and find different possible BPS states for different values of the deformation parameters and present our results graphically. We comment on the domain walls in F/M/IIA theories obtained from the Calabi-Yau fourfolds with isolated singularities and a background flux. |
1905.11673 | Inori Ueba | Inori Ueba | Extended supersymmetry with central charges in Dirac action with curved
extra dimensions | 19 pages | Phys. Rev. D 100, 105001 (2019) | 10.1103/PhysRevD.100.105001 | KOBE-TH-19-05 | hep-th hep-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss a new realization of $\mathcal{N}$-extended quantum-mechanical
supersymmetry (QM SUSY) with central charges hidden in the four-dimensional
(4D) mass spectrum of higher dimensional Dirac action with curved extra
dimensions. We show that this $\mathcal{N}$-extended QM SUSY results from
symmetries in extra dimensions, and the supermultiplets in this supersymmetry
algebra correspond to the Bogomol'nyi--Prasad--Sommerfield states. Furthermore,
we examine the model of the $S^2$ extra dimension with a magnetic monopole
background and confirm that the $\mathcal{N}$-extended QM SUSY explains the
degeneracy of the 4D mass spectrum.
| [
{
"created": "Tue, 28 May 2019 08:28:50 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Oct 2019 05:04:09 GMT",
"version": "v2"
}
] | 2019-11-06 | [
[
"Ueba",
"Inori",
""
]
] | We discuss a new realization of $\mathcal{N}$-extended quantum-mechanical supersymmetry (QM SUSY) with central charges hidden in the four-dimensional (4D) mass spectrum of higher dimensional Dirac action with curved extra dimensions. We show that this $\mathcal{N}$-extended QM SUSY results from symmetries in extra dimensions, and the supermultiplets in this supersymmetry algebra correspond to the Bogomol'nyi--Prasad--Sommerfield states. Furthermore, we examine the model of the $S^2$ extra dimension with a magnetic monopole background and confirm that the $\mathcal{N}$-extended QM SUSY explains the degeneracy of the 4D mass spectrum. |
hep-th/9210013 | null | Peter Chang and J.S.Dowker | Vacuum energy on orbifold factors of spheres | 29 pages, latex | Nucl.Phys.B395:407-432,1993 | 10.1016/0550-3213(93)90223-C | null | hep-th | null | The vacuum energy is calculated for a free, conformally-coupled scalar field
on the orbifold space-time \R$\times \S^2/\Gamma$ where $\Gamma$ is a finite
subgroup of O(3) acting with fixed points. The energy vanishes when $\Gamma$ is
composed of pure rotations but not otherwise. It is shown on general grounds
that the same conclusion holds for all even-dimensional factored spheres and
the vacuum energies are given as generalised Bernoulli functions (i.e. Todd
polynomials). The relevant $\zeta$- functions are analysed in some detail and
several identities are incidentally derived. The general discussion is
presented in terms of finite reflection groups.
| [
{
"created": "Fri, 2 Oct 1992 09:35:00 GMT",
"version": "v1"
}
] | 2010-11-01 | [
[
"Chang",
"Peter",
""
],
[
"Dowker",
"J. S.",
""
]
] | The vacuum energy is calculated for a free, conformally-coupled scalar field on the orbifold space-time \R$\times \S^2/\Gamma$ where $\Gamma$ is a finite subgroup of O(3) acting with fixed points. The energy vanishes when $\Gamma$ is composed of pure rotations but not otherwise. It is shown on general grounds that the same conclusion holds for all even-dimensional factored spheres and the vacuum energies are given as generalised Bernoulli functions (i.e. Todd polynomials). The relevant $\zeta$- functions are analysed in some detail and several identities are incidentally derived. The general discussion is presented in terms of finite reflection groups. |
hep-th/9902071 | Andre Lukas | Andre Lukas, Burt A. Ovrut and Daniel Waldram | Boundary Inflation | 35 pages, Latex, one eps-figure | Phys. Rev. D 61, 023506 (1999) | 10.1103/PhysRevD.61.023506 | OUTP-99-09P, UPR-831T, PUPT-1837 | hep-th hep-ph | null | Inflationary solutions are constructed in a specific five-dimensional model
with boundaries motivated by heterotic M-theory. We concentrate on the case
where the vacuum energy is provided by potentials on those boundaries. It is
pointed out that the presence of such potentials necessarily excites bulk
Kaluza-Klein modes. We distinguish a linear and a non-linear regime for those
modes. In the linear regime, inflation can be discussed in an effective
four-dimensional theory in the conventional way. We lift a four-dimensional
inflating solution up to five dimensions where it represents an inflating
domain wall pair. This shows explicitly the inhomogeneity in the fifth
dimension. We also demonstrate the existence of inflating solutions with
unconventional properties in the non-linear regime. Specifically, we find
solutions with and without an horizon between the two boundaries. These
solutions have certain problems associated with the stability of the additional
dimension and the persistence of initial excitations of the Kaluza-Klein modes.
| [
{
"created": "Wed, 10 Feb 1999 11:35:18 GMT",
"version": "v1"
},
{
"created": "Mon, 10 May 1999 16:46:08 GMT",
"version": "v2"
}
] | 2016-08-25 | [
[
"Lukas",
"Andre",
""
],
[
"Ovrut",
"Burt A.",
""
],
[
"Waldram",
"Daniel",
""
]
] | Inflationary solutions are constructed in a specific five-dimensional model with boundaries motivated by heterotic M-theory. We concentrate on the case where the vacuum energy is provided by potentials on those boundaries. It is pointed out that the presence of such potentials necessarily excites bulk Kaluza-Klein modes. We distinguish a linear and a non-linear regime for those modes. In the linear regime, inflation can be discussed in an effective four-dimensional theory in the conventional way. We lift a four-dimensional inflating solution up to five dimensions where it represents an inflating domain wall pair. This shows explicitly the inhomogeneity in the fifth dimension. We also demonstrate the existence of inflating solutions with unconventional properties in the non-linear regime. Specifically, we find solutions with and without an horizon between the two boundaries. These solutions have certain problems associated with the stability of the additional dimension and the persistence of initial excitations of the Kaluza-Klein modes. |
0709.4605 | Warren Siegel | Machiko Hatsuda, Warren Siegel | Superconformal spaces and implications for superstrings | 19 pages, no figures; v2: fixed sign, added note & reference; v3:
added note & references, version to appear in Physical Review D | Phys.Rev.D77:065017,2008 | 10.1103/PhysRevD.77.065017 | null | hep-th | null | We clarify some properties of projective superspace by using a manifestly
superconformal notation. In particular, we analyze the N=2 scalar multiplet in
detail, including its action, and the propagator and its super-Schwinger
parameters. The internal symmetry is taken to be noncompact (after Wick
rotation), allowing boundary conditions that preserve it off shell.
Generalization to N=4 suggests the coset superspace PSU(2,2|4)/OSp(4|4) for the
AdS/CFT superstring.
| [
{
"created": "Fri, 28 Sep 2007 12:52:08 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Oct 2007 15:19:32 GMT",
"version": "v2"
},
{
"created": "Thu, 31 Jan 2008 04:40:34 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Hatsuda",
"Machiko",
""
],
[
"Siegel",
"Warren",
""
]
] | We clarify some properties of projective superspace by using a manifestly superconformal notation. In particular, we analyze the N=2 scalar multiplet in detail, including its action, and the propagator and its super-Schwinger parameters. The internal symmetry is taken to be noncompact (after Wick rotation), allowing boundary conditions that preserve it off shell. Generalization to N=4 suggests the coset superspace PSU(2,2|4)/OSp(4|4) for the AdS/CFT superstring. |
hep-th/0311079 | Skenderis Kostas | Kostas Skenderis and Marika Taylor | Properties of branes in curved spacetimes | 41 pages; v2:typos corrected, ref added | JHEP 0402 (2004) 030 | 10.1088/1126-6708/2004/02/030 | ITFA-2003-47; SPIN-2003/29; ITF-2003/48 | hep-th | null | A generic property of curved manifolds is the existence of focal points. We
show that branes located at focal points of the geometry satisfy special
properties. Examples of backgrounds to which our discussion applies are AdS_m x
S^n and plane wave backgrounds. As an example, we show that a pair of AdS_2
branes located at the north and south pole of the S^5 in AdS_5 x S^5 are half
supersymmetric and that they are dual to a two-monopole solution of N=4 SU(N)
SYM theory. Our second example involves spacelike branes in the (Lorentzian)
plane wave. We develop a modified lightcone gauge for the open string channel,
analyze in detail the cylinder diagram and establish open-closed duality. When
the branes are located at focal points of the geometry the amplitude acquires
most of the characteristics of flat space amplitudes. In the open string
channel the special properties are due to stringy modes that become massless.
| [
{
"created": "Sun, 9 Nov 2003 21:18:10 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Nov 2003 14:30:25 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Skenderis",
"Kostas",
""
],
[
"Taylor",
"Marika",
""
]
] | A generic property of curved manifolds is the existence of focal points. We show that branes located at focal points of the geometry satisfy special properties. Examples of backgrounds to which our discussion applies are AdS_m x S^n and plane wave backgrounds. As an example, we show that a pair of AdS_2 branes located at the north and south pole of the S^5 in AdS_5 x S^5 are half supersymmetric and that they are dual to a two-monopole solution of N=4 SU(N) SYM theory. Our second example involves spacelike branes in the (Lorentzian) plane wave. We develop a modified lightcone gauge for the open string channel, analyze in detail the cylinder diagram and establish open-closed duality. When the branes are located at focal points of the geometry the amplitude acquires most of the characteristics of flat space amplitudes. In the open string channel the special properties are due to stringy modes that become massless. |
1203.4268 | Miguel Paulos | Miguel F. Paulos and Andrew J. Tolley | Massive Gravity Theories and limits of Ghost-free Bigravity models | 11+5 pages | null | 10.1007/JHEP09(2012)002 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a class of theories which extend New Massive Gravity to higher
orders in curvature in any dimension. The lagrangians arise as limits of a new
class of bimetric theories of Lovelock gravity, which are unitary theories free
from the Boulware-Deser ghost. These Lovelock bigravity models represent the
most general non-chiral ghost-free theories of an interacting massless and
massive spin-two field in any dimension. The scaling limit is taken in such a
way that unitarity is explicitly broken, but the Boulware-Deser ghost remains
absent. This automatically implies the existence of a holographic $c$-theorem
for these theories. We also show that the Born-Infeld extension of New Massive
Gravity falls into our class of models demonstrating that this theory is also
free of the Boulware-Deser ghost. These results extend existing connections
between New Massive Gravity, bigravity theories, Galileon theories and
holographic $c$-theorems.
| [
{
"created": "Mon, 19 Mar 2012 21:25:58 GMT",
"version": "v1"
}
] | 2015-06-04 | [
[
"Paulos",
"Miguel F.",
""
],
[
"Tolley",
"Andrew J.",
""
]
] | We construct a class of theories which extend New Massive Gravity to higher orders in curvature in any dimension. The lagrangians arise as limits of a new class of bimetric theories of Lovelock gravity, which are unitary theories free from the Boulware-Deser ghost. These Lovelock bigravity models represent the most general non-chiral ghost-free theories of an interacting massless and massive spin-two field in any dimension. The scaling limit is taken in such a way that unitarity is explicitly broken, but the Boulware-Deser ghost remains absent. This automatically implies the existence of a holographic $c$-theorem for these theories. We also show that the Born-Infeld extension of New Massive Gravity falls into our class of models demonstrating that this theory is also free of the Boulware-Deser ghost. These results extend existing connections between New Massive Gravity, bigravity theories, Galileon theories and holographic $c$-theorems. |
1102.2757 | Koichi Murakami | Koichi Murakami, Nobuyuki Ishibashi | Amplitudes in Noncritical Dimensions and Dimensional Regularization | 10 pages, 1 figure, A contribution to the proceedings of "SFT2010",
held at YITP, Kyoto, Japan, October 18-22, 2010 | Prog.Theor.Phys.Suppl.188:19-28,2011 | 10.1143/PTPS.188.19 | UTHEP-622, OIQP-10-12 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study how the dimensional regularization works in the light-cone gauge
string field theory. We show that it is not necessary to add a contact term to
the string field theory action as a counter term in this regularization at
least at the tree level. We also investigate the one-loop amplitudes of the
bosonic theory in noncritical dimensions and show that they are modular
invariant.
| [
{
"created": "Mon, 14 Feb 2011 13:05:02 GMT",
"version": "v1"
}
] | 2011-05-27 | [
[
"Murakami",
"Koichi",
""
],
[
"Ishibashi",
"Nobuyuki",
""
]
] | We study how the dimensional regularization works in the light-cone gauge string field theory. We show that it is not necessary to add a contact term to the string field theory action as a counter term in this regularization at least at the tree level. We also investigate the one-loop amplitudes of the bosonic theory in noncritical dimensions and show that they are modular invariant. |
1502.07511 | Benjamin Knorr | Julia Borchardt and Benjamin Knorr | Global solutions of functional fixed point equations via pseudo-spectral
methods | 14 pages, 9 figures. v2: typos corrected | Phys. Rev. D 91, 105011 (2015) | 10.1103/PhysRevD.91.105011 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply pseudo-spectral methods to construct global solutions of functional
renormalisation group equations in field space to high accuracy. For this, we
introduce a basis to resolve both finite as well as asymptotic regions of
effective potentials. Our approach is benchmarked using the critical behaviour
of the scalar $O(1)$ model, providing results for the global fixed point
potential as well as leading critical exponents and their respective global
eigenfunctions. We provide new results for (1) multi-critical $O(1)$ models in
fractional dimensions, (2) the three-dimensional Gross-Neveu model at both
small and large $N$, and (3) the scalar-tensor model, also in three dimensions.
| [
{
"created": "Thu, 26 Feb 2015 11:33:26 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Sep 2015 12:32:04 GMT",
"version": "v2"
}
] | 2015-09-03 | [
[
"Borchardt",
"Julia",
""
],
[
"Knorr",
"Benjamin",
""
]
] | We apply pseudo-spectral methods to construct global solutions of functional renormalisation group equations in field space to high accuracy. For this, we introduce a basis to resolve both finite as well as asymptotic regions of effective potentials. Our approach is benchmarked using the critical behaviour of the scalar $O(1)$ model, providing results for the global fixed point potential as well as leading critical exponents and their respective global eigenfunctions. We provide new results for (1) multi-critical $O(1)$ models in fractional dimensions, (2) the three-dimensional Gross-Neveu model at both small and large $N$, and (3) the scalar-tensor model, also in three dimensions. |
hep-th/0107246 | John R. Hiller | S.J. Brodsky, J.R. Hiller, G. McCartor | Exact solutions to Pauli-Villars-regulated field theories | 20 pages, REVTeX; minor corrections to normalizations | Annals Phys.296:406-424,2002 | 10.1006/aphy.2002.6225 | SLAC-PUB-8920, UMN-D-01-6, SMUHEP/01-06 | hep-th hep-ph | null | We present a new class of quantum field theories which are exactly solvable.
The theories are generated by introducing Pauli-Villars fermionic and bosonic
fields with masses degenerate with the physical positive metric fields. An
algorithm is given to compute the spectrum and corresponding eigensolutions. We
also give the operator solution for a particular case and use it to illustrate
some of the tenets of light-cone quantization. Since the solutions of the
solvable theory contain ghost quanta, these theories are unphysical. However,
we also discuss how perturbation theory in the difference between the masses of
the physical and Pauli-Villars particles could be developed, thus generating
physical theories. The existence of explicit solutions of the solvable theory
also allows one to study the relationship between the equal-time and light-cone
vacua and eigensolutions.
| [
{
"created": "Fri, 27 Jul 2001 22:16:10 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Nov 2001 19:40:29 GMT",
"version": "v2"
}
] | 2009-09-11 | [
[
"Brodsky",
"S. J.",
""
],
[
"Hiller",
"J. R.",
""
],
[
"McCartor",
"G.",
""
]
] | We present a new class of quantum field theories which are exactly solvable. The theories are generated by introducing Pauli-Villars fermionic and bosonic fields with masses degenerate with the physical positive metric fields. An algorithm is given to compute the spectrum and corresponding eigensolutions. We also give the operator solution for a particular case and use it to illustrate some of the tenets of light-cone quantization. Since the solutions of the solvable theory contain ghost quanta, these theories are unphysical. However, we also discuss how perturbation theory in the difference between the masses of the physical and Pauli-Villars particles could be developed, thus generating physical theories. The existence of explicit solutions of the solvable theory also allows one to study the relationship between the equal-time and light-cone vacua and eigensolutions. |
1901.02894 | Hong Lu | H. Lu, Zhao-Long Wang and Qing-Qing Zhao | Black Holes That Repel | Latex, 11 pages, comments and references added | Phys. Rev. D 99, 101502 (2019) | 10.1103/PhysRevD.99.101502 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The recent observation that black holes in certain Einstein-Maxwell-Dilaton
(EMD) theories can violate the entropy super-additivity led to the suggestion
that these black holes might repel each other. In this paper, we consider EMD
theories with two Maxwell fields $A_i$, with general exponential couplings
$\exp(a_i \phi)$ in their kinetic terms. We calculate the gravi-electrostatic
force between charged black holes $(m_1,e_1)$ and $(M_2,Q_2)$; the former is
sufficiently small and can be treated as a point-like object. We find there is
a potential barrier caused by the dilaton coupling at $r_0$ outside the back
hole horizon $r_+$, provided that $-a_1 a_2> 2(D-3)/(D-2)$. As the black hole
approaches extremality, both $r_+$ and $r_0$ vanish, the barrier becomes
infinitesimally thin but infinitely high, and the two black holes repel each
other in the whole space. There is no electrostatic force between them; the
dilaton is the antigravity agent. Furthermore we find that the exact constraint
on $a_1 a_2$ can be derived from the requirements that two-charged extremal
black holes have a fusion bomb like mass formula and the violation of entropy
super-additivity can occur. The two very different approaches give a consistent
picture of the black hole repulsion.
| [
{
"created": "Wed, 9 Jan 2019 19:00:03 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Feb 2019 13:38:36 GMT",
"version": "v2"
}
] | 2019-06-05 | [
[
"Lu",
"H.",
""
],
[
"Wang",
"Zhao-Long",
""
],
[
"Zhao",
"Qing-Qing",
""
]
] | The recent observation that black holes in certain Einstein-Maxwell-Dilaton (EMD) theories can violate the entropy super-additivity led to the suggestion that these black holes might repel each other. In this paper, we consider EMD theories with two Maxwell fields $A_i$, with general exponential couplings $\exp(a_i \phi)$ in their kinetic terms. We calculate the gravi-electrostatic force between charged black holes $(m_1,e_1)$ and $(M_2,Q_2)$; the former is sufficiently small and can be treated as a point-like object. We find there is a potential barrier caused by the dilaton coupling at $r_0$ outside the back hole horizon $r_+$, provided that $-a_1 a_2> 2(D-3)/(D-2)$. As the black hole approaches extremality, both $r_+$ and $r_0$ vanish, the barrier becomes infinitesimally thin but infinitely high, and the two black holes repel each other in the whole space. There is no electrostatic force between them; the dilaton is the antigravity agent. Furthermore we find that the exact constraint on $a_1 a_2$ can be derived from the requirements that two-charged extremal black holes have a fusion bomb like mass formula and the violation of entropy super-additivity can occur. The two very different approaches give a consistent picture of the black hole repulsion. |
hep-th/9301068 | David Gross | David J. Gross and Washington Taylor | Two Dimensional QCD is a String Theory | 27 pages, PUPT-1376 LBL-33458 | Nucl.Phys.B400:181-210,1993 | 10.1016/0550-3213(93)90403-C | null | hep-th hep-ph | null | The partition function of two dimensional QCD on a Riemann surface of area
$A$ is expanded as a power series in $1/N$ and $A$. It is shown that the
coefficients of this expansion are precisely determined by a sum over maps from
a two dimensional surface onto the two dimensional target space. Thus two
dimensional QCD has a simple interpretation as a closed string theory.
| [
{
"created": "Mon, 18 Jan 1993 04:56:41 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Gross",
"David J.",
""
],
[
"Taylor",
"Washington",
""
]
] | The partition function of two dimensional QCD on a Riemann surface of area $A$ is expanded as a power series in $1/N$ and $A$. It is shown that the coefficients of this expansion are precisely determined by a sum over maps from a two dimensional surface onto the two dimensional target space. Thus two dimensional QCD has a simple interpretation as a closed string theory. |
hep-th/0004147 | Richard Szabo | J. Ambjorn, Y.M. Makeenko, J. Nishimura and R.J. Szabo | Lattice Gauge Fields and Discrete Noncommutative Yang-Mills Theory | 48 pages LaTeX2e, no figures | JHEP 0005 (2000) 023 | 10.1088/1126-6708/2000/05/023 | NBI-HE-00-21, ITEP-TH-11/00 | hep-th hep-lat math-ph math.MP math.QA | null | We present a lattice formulation of noncommutative Yang-Mills theory in
arbitrary even dimensionality. The UV/IR mixing characteristic of
noncommutative field theories is demonstrated at a completely nonperturbative
level. We prove a discrete Morita equivalence between ordinary Yang-Mills
theory with multi-valued gauge fields and noncommutative Yang-Mills theory with
periodic gauge fields. Using this equivalence, we show that generic
noncommutative gauge theories in the continuum can be regularized
nonperturbatively by means of {\it ordinary} lattice gauge theory with 't~Hooft
flux. In the case of irrational noncommutativity parameters, the rank of the
gauge group of the commutative lattice theory must be sent to infinity in the
continuum limit. As a special case, the construction includes the recent
description of noncommutative Yang-Mills theories using twisted large $N$
reduced models. We study the coupling of noncommutative gauge fields to matter
fields in the fundamental representation of the gauge group using the lattice
formalism. The large mass expansion is used to describe the physical meaning of
Wilson loops in noncommutative gauge theories. We also demonstrate Morita
equivalence in the presence of fundamental matter fields and use this property
to comment on the calculation of the beta-function in noncommutative quantum
electrodynamics.
| [
{
"created": "Fri, 21 Apr 2000 10:22:06 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Ambjorn",
"J.",
""
],
[
"Makeenko",
"Y. M.",
""
],
[
"Nishimura",
"J.",
""
],
[
"Szabo",
"R. J.",
""
]
] | We present a lattice formulation of noncommutative Yang-Mills theory in arbitrary even dimensionality. The UV/IR mixing characteristic of noncommutative field theories is demonstrated at a completely nonperturbative level. We prove a discrete Morita equivalence between ordinary Yang-Mills theory with multi-valued gauge fields and noncommutative Yang-Mills theory with periodic gauge fields. Using this equivalence, we show that generic noncommutative gauge theories in the continuum can be regularized nonperturbatively by means of {\it ordinary} lattice gauge theory with 't~Hooft flux. In the case of irrational noncommutativity parameters, the rank of the gauge group of the commutative lattice theory must be sent to infinity in the continuum limit. As a special case, the construction includes the recent description of noncommutative Yang-Mills theories using twisted large $N$ reduced models. We study the coupling of noncommutative gauge fields to matter fields in the fundamental representation of the gauge group using the lattice formalism. The large mass expansion is used to describe the physical meaning of Wilson loops in noncommutative gauge theories. We also demonstrate Morita equivalence in the presence of fundamental matter fields and use this property to comment on the calculation of the beta-function in noncommutative quantum electrodynamics. |
hep-th/9304124 | Juergen Laartz | Wolfgang Bischoff | On a Jordan-algebraic formulation of quantum mechanics: Hilbert space
construction | 12pages, latex, THEP 93/7 | null | null | null | hep-th | null | In this note I discuss some aspects of a formulation of quantum mechanics
based entirely on the Jordan algebra of observables. After reviewing some facts
of the formulation in the \CS -approach I present a Jordan-algebraic Hilbert
space construction (inspired by the usual GNS-construction), thereby obtaining
a real Hilbert space and a (Jordan-) representation of the algebra of
observables on this space. Taking the usual case as a guideline I subsequently
derive a Schr\"odinger equation on this Hilbert space.
| [
{
"created": "Mon, 26 Apr 1993 10:31:57 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Bischoff",
"Wolfgang",
""
]
] | In this note I discuss some aspects of a formulation of quantum mechanics based entirely on the Jordan algebra of observables. After reviewing some facts of the formulation in the \CS -approach I present a Jordan-algebraic Hilbert space construction (inspired by the usual GNS-construction), thereby obtaining a real Hilbert space and a (Jordan-) representation of the algebra of observables on this space. Taking the usual case as a guideline I subsequently derive a Schr\"odinger equation on this Hilbert space. |
hep-th/9801197 | Petr Jizba | P. Jizba (DAMTP, Cambridge Univ. and ITP, Tsukuba Univ.) | Hydrostatic Pressure of the O(N) $\phi^4$ Theory in the Large N Limit | 40 papes, 13 figures, LaTeX, thoroughly revised, accepted to Phys.
Rev. D | Phys.Rev.D69:085011,2004 | 10.1103/PhysRevD.69.085011 | null | hep-th | null | With non-equilibrium applications in mind we present in this paper a
self-contained calculation of the hydrostatic pressure of the O(N)\lambda
\phi^4 theory at finite temperature. By combining the Keldysh-Schwinger
closed-time path formalism with thermal Dyson-Schwinger equations we compute in
the large N limit the hydrostatic pressure in a fully resumed form. We also
calculate the high-temperature expansion for the pressure (in D=4) using the
Mellin transform technique. The result obtained extends the results found by
Drummond et al. [hep-ph/9708426] and Amelino-Camelia and Pi [hep-ph/9211211].
The latter are reproduced in the limits m_r(0)\to 0, T \to \infty and T \to
\infty, respectively. Important issues of renormalizibility of composite
operators at finite temperature are addressed and the improved energy-momentum
tensor is constructed. The utility of the hydrostatic pressure in the
non-equilibrium quantum systems is discussed.
| [
{
"created": "Fri, 30 Jan 1998 00:20:11 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Dec 2003 02:23:59 GMT",
"version": "v2"
}
] | 2011-07-19 | [
[
"Jizba",
"P.",
"",
"DAMTP, Cambridge Univ. and ITP, Tsukuba Univ."
]
] | With non-equilibrium applications in mind we present in this paper a self-contained calculation of the hydrostatic pressure of the O(N)\lambda \phi^4 theory at finite temperature. By combining the Keldysh-Schwinger closed-time path formalism with thermal Dyson-Schwinger equations we compute in the large N limit the hydrostatic pressure in a fully resumed form. We also calculate the high-temperature expansion for the pressure (in D=4) using the Mellin transform technique. The result obtained extends the results found by Drummond et al. [hep-ph/9708426] and Amelino-Camelia and Pi [hep-ph/9211211]. The latter are reproduced in the limits m_r(0)\to 0, T \to \infty and T \to \infty, respectively. Important issues of renormalizibility of composite operators at finite temperature are addressed and the improved energy-momentum tensor is constructed. The utility of the hydrostatic pressure in the non-equilibrium quantum systems is discussed. |
hep-th/0702132 | Kentaroh Yoshida | Makoto Sakaguchi (OIQP) and Kentaroh Yoshida (KEK) | A Covariant Approach to Noncommutative M5-branes | 4 pages, 1 figure, LaTeX, A contribution to Nishinomiya-Yukawa
Memorial Symposium on Theoretical Physics ``Noncommutative Geometry and
Quantum Spacetime in Physics'' (Nov. 11-15, 2006, Japan). To appear in
Progress of Theoretical Physics Supplement | Prog.Theor.Phys.Suppl.171:275-278,2007 | 10.1143/PTPS.171.275 | KEK-TH-1139, OIQP-07-03 | hep-th | null | We briefly review how to discuss noncommutative (NC) M5-branes and
intersecting NC M5-branes from kappa-invariance of an open supermembrane action
with constant three-form fluxes. The kappa-invariance gives rise to possible
Dirichlet brane configurations. We shortly summarize a construction of
projection operators for NC M5-branes and some intersecting configurations of
NC M5-branes. A strong flux limit of them is also discussed.
| [
{
"created": "Fri, 16 Feb 2007 15:39:49 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Sakaguchi",
"Makoto",
"",
"OIQP"
],
[
"Yoshida",
"Kentaroh",
"",
"KEK"
]
] | We briefly review how to discuss noncommutative (NC) M5-branes and intersecting NC M5-branes from kappa-invariance of an open supermembrane action with constant three-form fluxes. The kappa-invariance gives rise to possible Dirichlet brane configurations. We shortly summarize a construction of projection operators for NC M5-branes and some intersecting configurations of NC M5-branes. A strong flux limit of them is also discussed. |
1305.3258 | Derek Wise | Derek K. Wise | Holographic Special Relativity | 17 pages, 5 illustrations | Adv. Theor. Math. Phys. 19 (2015) 1017-1041 | 10.4310/ATMP.2015.v19.n5.a3 | null | hep-th gr-qc math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We reinterpret special relativity, or more precisely its de Sitter
deformation, in terms of 3d conformal geometry, as opposed to (3+1)d spacetime
geometry. An inertial observer, usually described by a geodesic in spacetime,
becomes instead a choice of ways to reverse the conformal compactification of a
Euclidean vector space up to scale. The observer's "current time," usually
given by a point along the geodesic, corresponds to the choice of scale in the
decompactification. We also show how arbitrary conformal 3-geometries give rise
to "observer space geometries," as defined in recent work, from which spacetime
can be reconstructed under certain integrability conditions. We conjecture a
relationship between this kind of "holographic relativity" and the "shape
dynamics" proposal of Barbour and collaborators, in which conformal space takes
the place of spacetime in general relativity. We also briefly survey related
pictures of observer space, including the AdS analog and a representation
related to twistor theory.
| [
{
"created": "Tue, 14 May 2013 19:23:37 GMT",
"version": "v1"
}
] | 2016-04-20 | [
[
"Wise",
"Derek K.",
""
]
] | We reinterpret special relativity, or more precisely its de Sitter deformation, in terms of 3d conformal geometry, as opposed to (3+1)d spacetime geometry. An inertial observer, usually described by a geodesic in spacetime, becomes instead a choice of ways to reverse the conformal compactification of a Euclidean vector space up to scale. The observer's "current time," usually given by a point along the geodesic, corresponds to the choice of scale in the decompactification. We also show how arbitrary conformal 3-geometries give rise to "observer space geometries," as defined in recent work, from which spacetime can be reconstructed under certain integrability conditions. We conjecture a relationship between this kind of "holographic relativity" and the "shape dynamics" proposal of Barbour and collaborators, in which conformal space takes the place of spacetime in general relativity. We also briefly survey related pictures of observer space, including the AdS analog and a representation related to twistor theory. |
hep-th/0207271 | Kevin Iga | Kevin Iga | What do Topologists want from Seiberg--Witten theory? (A review of
four-dimensional topology for physicists) | 51 pages, 10 figures, 8 postscript files. Submitted to International
Journal of Modern Physics A, July 2002 Uses Latex 2e with class file
ws-ijmpa.cls (included in tar file) | Int.J.Mod.Phys. A17 (2002) 4463-4514 | 10.1142/S0217751X0201217X | null | hep-th | null | In 1983, Donaldson shocked the topology world by using instantons from
physics to prove new theorems about four-dimensional manifolds, and he
developed new topological invariants. In 1988, Witten showed how these
invariants could be obtained by correlation functions for a twisted N=2 SUSY
gauge theory. In 1994, Seiberg and Witten discovered dualities for such
theories, and in particular, developed a new way of looking at four-dimensional
manifolds that turns out to be easier, and is conjectured to be equivalent to,
Donaldson theory.
This review describes the development of this mathematical subject, and shows
how the physics played a pivotal role in the current understanding of this area
of topology.
| [
{
"created": "Tue, 30 Jul 2002 18:14:43 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Aug 2002 01:41:43 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Iga",
"Kevin",
""
]
] | In 1983, Donaldson shocked the topology world by using instantons from physics to prove new theorems about four-dimensional manifolds, and he developed new topological invariants. In 1988, Witten showed how these invariants could be obtained by correlation functions for a twisted N=2 SUSY gauge theory. In 1994, Seiberg and Witten discovered dualities for such theories, and in particular, developed a new way of looking at four-dimensional manifolds that turns out to be easier, and is conjectured to be equivalent to, Donaldson theory. This review describes the development of this mathematical subject, and shows how the physics played a pivotal role in the current understanding of this area of topology. |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.