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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2002.04696 | Daniel Schubring | Daniel Schubring and Mikhail Shifman | Sigma model on a squashed sphere with a Wess-Zumino term | v4. Updated acknowledgements | Phys. Rev. D 103, 025016 (2021) | 10.1103/PhysRevD.103.025016 | FTPI-MINN-20/01, UMN-TH-3911/20 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A class of two-dimensional sigma models interpolating between $CP^1$ and the
$SU(2)$ principal chiral model is discussed. We add the
Wess-Zumino-Novikov-Witten term and examine the renormalization group flow of
the two coupling constants which characterize the model under consideration.
The model flows to the $SU(2)$ WZNW conformal field theory in the IR. There is
an ordinary phase in which the model flows from the asymptotically free $CP^1$
model coupled to an extra massless degree of freedom in the UV. At higher loop
order we discover that there is also a phase in which the model can flow from
non-trivial fixed points in the UV. A non-perturbative confirmation of these
extra fixed points would be desirable.
| [
{
"created": "Tue, 11 Feb 2020 21:35:10 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Mar 2020 20:34:07 GMT",
"version": "v2"
},
{
"created": "Mon, 11 Jan 2021 23:30:25 GMT",
"version": "v3"
},
{
"created": "Sun, 21 Nov 2021 18:57:58 GMT",
"version": "v4"
}
] | 2021-11-23 | [
[
"Schubring",
"Daniel",
""
],
[
"Shifman",
"Mikhail",
""
]
] | A class of two-dimensional sigma models interpolating between $CP^1$ and the $SU(2)$ principal chiral model is discussed. We add the Wess-Zumino-Novikov-Witten term and examine the renormalization group flow of the two coupling constants which characterize the model under consideration. The model flows to the $SU(2)$ WZNW conformal field theory in the IR. There is an ordinary phase in which the model flows from the asymptotically free $CP^1$ model coupled to an extra massless degree of freedom in the UV. At higher loop order we discover that there is also a phase in which the model can flow from non-trivial fixed points in the UV. A non-perturbative confirmation of these extra fixed points would be desirable. |
hep-th/9603189 | Dmitri Gitman | S.P. Gavrilov and D.M. Gitman | Proper time and path integral representations for the commutation
function | 20 pages, LaTeX, uses pictex macros | J.Math.Phys. 37 (1996) 3118-3130 | 10.1063/1.531559 | IFUSP/P-1195, Dezembero/1995 | hep-th | null | On the example of the quantized spinor field, interacting with arbitrary
external electromagnetic field, the commutation function is studied. It is
shown that a proper time representation is available in any dimensions. Using
it, all the light cone singularities of the function are found explicitly,
generalizing the Fock formula in four dimensions, and a path integral
representation is constructed.
| [
{
"created": "Thu, 28 Mar 1996 16:13:04 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Gavrilov",
"S. P.",
""
],
[
"Gitman",
"D. M.",
""
]
] | On the example of the quantized spinor field, interacting with arbitrary external electromagnetic field, the commutation function is studied. It is shown that a proper time representation is available in any dimensions. Using it, all the light cone singularities of the function are found explicitly, generalizing the Fock formula in four dimensions, and a path integral representation is constructed. |
hep-th/0311126 | W. Machin | W Machin | Supersymmetric sigma models, gauge theories and vortices | Phd thesis, University of London, latex, 130pp | null | null | null | hep-th | null | This thesis considers one and two dimensional supersymmetric nonlinear sigma
models. First there is a discussion of the geometries of one and two
dimensional sigma models, with rigid supersymmetry.
For the one-dimensional case, the supersymmetry is promoted to a local one
and the required gauge fields are introduced. The most general Lagrangian,
including these gauge fields, is found. The constraints of the system are
analysed, and its Dirac quantisation is investigated.
In the next chapter we introduce equivariant cohomology which is used later
in the thesis.
Then actions are constructed for (p,0)- and (p,1)- supersymmetric, $1 \leq p
\leq 4$, two-dimensional gauge theories coupled to non-linear sigma model
matter with a Wess-Zumino term.
The scalar potential for a large class of these models is derived. It is then
shown that the Euclidean actions of the (2,0) and (4,0)-supersymmetric models
without Wess-Zumino terms are bounded by topological charges which involve the
equivariant extensions of the Kahler forms of the sigma model target spaces
evaluated on the two-dimensional spacetime.
Similar bounds for Euclidean actions of appropriate gauge theories coupled to
non-linear sigma model matter in higher spacetime dimensions are given which
now involve the equivariant extensions of the Kahler forms of the sigma model
target spaces and the second Chern character of gauge fields. It is found that
the BPS configurations are generalisations of abelian and non-abelian vortices.
| [
{
"created": "Fri, 14 Nov 2003 18:41:50 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Machin",
"W",
""
]
] | This thesis considers one and two dimensional supersymmetric nonlinear sigma models. First there is a discussion of the geometries of one and two dimensional sigma models, with rigid supersymmetry. For the one-dimensional case, the supersymmetry is promoted to a local one and the required gauge fields are introduced. The most general Lagrangian, including these gauge fields, is found. The constraints of the system are analysed, and its Dirac quantisation is investigated. In the next chapter we introduce equivariant cohomology which is used later in the thesis. Then actions are constructed for (p,0)- and (p,1)- supersymmetric, $1 \leq p \leq 4$, two-dimensional gauge theories coupled to non-linear sigma model matter with a Wess-Zumino term. The scalar potential for a large class of these models is derived. It is then shown that the Euclidean actions of the (2,0) and (4,0)-supersymmetric models without Wess-Zumino terms are bounded by topological charges which involve the equivariant extensions of the Kahler forms of the sigma model target spaces evaluated on the two-dimensional spacetime. Similar bounds for Euclidean actions of appropriate gauge theories coupled to non-linear sigma model matter in higher spacetime dimensions are given which now involve the equivariant extensions of the Kahler forms of the sigma model target spaces and the second Chern character of gauge fields. It is found that the BPS configurations are generalisations of abelian and non-abelian vortices. |
1901.05977 | Seyed Morteza Hosseini | Seyed Morteza Hosseini and Alberto Zaffaroni | Proving the equivalence of $c$-extremization and its gravitational dual
for all toric quivers | 35 pages | JHEP 03 (2019) 108 | 10.1007/JHEP03(2019)108 | IPMU19-0006 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The gravitational dual of $c$-extremization for a class of $(0,2)$
two-dimensional theories obtained by twisted compactifications of D3-brane
gauge theories living at a toric Calabi-Yau three-fold has been recently
proposed. The equivalence of this construction with $c$-extremization has been
checked in various examples and holds also off-shell. In this note we prove
that such equivalence holds for an arbitrary toric Calabi-Yau. We do it by
generalizing the proof of the equivalence between $a$-maximization and volume
minimization for four-dimensional toric quivers. By an explicit
parameterization of the R-charges we map the trial right-moving central charge
$c_r$ into the off-shell functional to be extremized in gravity. We also
observe that the similar construction for M2-branes on $\mathbb{C}^4$ is
equivalent to the $\mathcal{I}$-extremization principle that leads to the
microscopic counting for the entropy of magnetically charged black holes in
AdS$_4\times S^7$. Also this equivalence holds off-shell.
| [
{
"created": "Thu, 17 Jan 2019 19:00:09 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Mar 2019 10:19:44 GMT",
"version": "v2"
}
] | 2019-03-26 | [
[
"Hosseini",
"Seyed Morteza",
""
],
[
"Zaffaroni",
"Alberto",
""
]
] | The gravitational dual of $c$-extremization for a class of $(0,2)$ two-dimensional theories obtained by twisted compactifications of D3-brane gauge theories living at a toric Calabi-Yau three-fold has been recently proposed. The equivalence of this construction with $c$-extremization has been checked in various examples and holds also off-shell. In this note we prove that such equivalence holds for an arbitrary toric Calabi-Yau. We do it by generalizing the proof of the equivalence between $a$-maximization and volume minimization for four-dimensional toric quivers. By an explicit parameterization of the R-charges we map the trial right-moving central charge $c_r$ into the off-shell functional to be extremized in gravity. We also observe that the similar construction for M2-branes on $\mathbb{C}^4$ is equivalent to the $\mathcal{I}$-extremization principle that leads to the microscopic counting for the entropy of magnetically charged black holes in AdS$_4\times S^7$. Also this equivalence holds off-shell. |
hep-th/0505090 | Nuno Miguel Marques de Sousa PhD | N. Sousa | Open Descendants at c = 1 | PhD thesis | null | null | null | hep-th | null | The algebraic construction of open descendants is reviewed and extended. The
procedure is applied to c=1 models. Chiral data for the case of extended free
boson orbifolds is presented, in the form of fusing and brading matrices for
the untwisted sector. For this sector the pentagon and hexagon identities are
checked. Some chiral data concerning the mixed and twisted sectors is also
presented.
| [
{
"created": "Wed, 11 May 2005 11:21:40 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Sousa",
"N.",
""
]
] | The algebraic construction of open descendants is reviewed and extended. The procedure is applied to c=1 models. Chiral data for the case of extended free boson orbifolds is presented, in the form of fusing and brading matrices for the untwisted sector. For this sector the pentagon and hexagon identities are checked. Some chiral data concerning the mixed and twisted sectors is also presented. |
hep-th/9608175 | Christian Schubert | Denny Fliegner, Michael G. Schmidt, Christian Schubert | Three Applications of the String-Inspired Technique to Quantum
Electrodynamics | 10 pages, uuencoded Postscript-File, talk given by C. Schubert at the
Zeuthen Workshop on Elementary Particle Theory: QCD and QED in Higher Orders,
Rheinsberg, Germany, 21-26 Apr 1996 | Nucl.Phys.Proc.Suppl. 51C (1996) 174-182 | 10.1016/S0920-5632(96)90022-5 | HD-THEP-96/18, HUB-EP-96/19 | hep-th | null | We discuss the following recent applications of the ``string-inspired''
worldline technique to calculations in quantum electrodynamics: i) Photon
splitting in a constant magnetic field, ii) The two-loop Euler-Heisenberg
Lagrangian, iii) A progress report on a recalculation of the three-loop QED
beta -- function.
| [
{
"created": "Mon, 26 Aug 1996 23:16:53 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Fliegner",
"Denny",
""
],
[
"Schmidt",
"Michael G.",
""
],
[
"Schubert",
"Christian",
""
]
] | We discuss the following recent applications of the ``string-inspired'' worldline technique to calculations in quantum electrodynamics: i) Photon splitting in a constant magnetic field, ii) The two-loop Euler-Heisenberg Lagrangian, iii) A progress report on a recalculation of the three-loop QED beta -- function. |
0710.0079 | Olaf Lechtenfeld | Christian Gutschwager, Tatiana A. Ivanova, Olaf Lechtenfeld | Scattering of Noncommutative Waves and Solitons in a Supersymmetric
Chiral Model in 2+1 Dimensions | 1+13 pages; v2: reference added, version published in JHEP | JHEP0711:052,2007 | 10.1088/1126-6708/2007/11/052 | null | hep-th | null | Interactions of noncommutative waves and solitons in 2+1 dimensions can be
analyzed exactly for a supersymmetric and integrable U(n) chiral model
extending the Ward model. Using the Moyal-deformed dressing method in an
antichiral superspace, we construct explicit time-dependent solutions of its
noncommutative field equations by iteratively solving linear equations. The
approach is illustrated by presenting scattering configurations for two
noncommutative U(2) plane waves and for two noncommutative U(2) solitons as
well as by producing a noncommutative U(1) two-soliton bound state.
| [
{
"created": "Sat, 29 Sep 2007 17:03:55 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Nov 2007 15:09:47 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Gutschwager",
"Christian",
""
],
[
"Ivanova",
"Tatiana A.",
""
],
[
"Lechtenfeld",
"Olaf",
""
]
] | Interactions of noncommutative waves and solitons in 2+1 dimensions can be analyzed exactly for a supersymmetric and integrable U(n) chiral model extending the Ward model. Using the Moyal-deformed dressing method in an antichiral superspace, we construct explicit time-dependent solutions of its noncommutative field equations by iteratively solving linear equations. The approach is illustrated by presenting scattering configurations for two noncommutative U(2) plane waves and for two noncommutative U(2) solitons as well as by producing a noncommutative U(1) two-soliton bound state. |
1909.04946 | Hui Liu | Hui Liu, Yao Zhou and Jarah Evslin | Ground States of the $\phi^4$ Double-Well QFT | 16 pages, no figures, v2: Important reference added | Eur. Phys. J. C (2020) 80:357 | 10.1140/epjc/s10052-020-7934-6 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | At second order in perturbation theory, we find the ground states of the
$\phi^4$ double-well quantum field theory in 1+1 dimensions. The operators
which create these ground states from the free vacuum are constructed
explicitly at this order, as is the operator which interpolates between the
ground states. As a warm up we perform the analogous calculation in quantum
mechanics, where the true ground state is unique but in perturbation theory
there are also two ground states.
| [
{
"created": "Wed, 11 Sep 2019 09:48:49 GMT",
"version": "v1"
},
{
"created": "Sat, 12 Oct 2019 09:35:11 GMT",
"version": "v2"
}
] | 2022-11-01 | [
[
"Liu",
"Hui",
""
],
[
"Zhou",
"Yao",
""
],
[
"Evslin",
"Jarah",
""
]
] | At second order in perturbation theory, we find the ground states of the $\phi^4$ double-well quantum field theory in 1+1 dimensions. The operators which create these ground states from the free vacuum are constructed explicitly at this order, as is the operator which interpolates between the ground states. As a warm up we perform the analogous calculation in quantum mechanics, where the true ground state is unique but in perturbation theory there are also two ground states. |
1603.08104 | Rudra Prakash Malik | T. Bhanja, N. Srinivas, R. P. Malik | Universal Superspace Unitary Operator and Nilpotent (Anti-)dual BRST
Symmetries: Superfield Formalism | LaTeX file, 25 pages, journal reference is given | Advances in High Energy Physics Vol. 2016 Article ID 2764245, 17
pages (2016) | 10.1155/2016/2764245 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We exploit the key concepts of the augmented version of superfield approach
to Becchi-Rouet-Stora-Tyutin (BRST) formalism to derive the superspace (SUSP)
dual unitary operator (and its Hermitian conjugate) and demonstrate their
utility in the derivation of the nilpotent and absolutely anticommuting
(anti-)dual BRST symmetry transformations for a set of interesting models of
the Abelian 1-form gauge theories. These models are the one (0+1)-dimensional
(1D) rigid rotor, modified versions of the two (1+1)-dimensional (2D) Proca as
well as anomalous gauge theories and 2D model of a self-dual bosonic field
theory. We show the universality of the SUSP dual unitary operator and its
Hermitian conjugate in the cases of all the Abelian models under consideration.
These SUSP dual unitary operators, besides maintaining the explicit group
structure, provide the alternatives to the dual-horizontality condition (DHC)
and dual-gauge invariant restrictions (DGIRs) of the superfield formalism. The
derivation of the dual unitary operators and corresponding (anti-)dual BRST
symmetries are completely novel results in our present investigation.
| [
{
"created": "Sat, 26 Mar 2016 13:08:17 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Oct 2016 05:24:44 GMT",
"version": "v2"
},
{
"created": "Thu, 27 Jul 2017 13:08:08 GMT",
"version": "v3"
}
] | 2017-07-28 | [
[
"Bhanja",
"T.",
""
],
[
"Srinivas",
"N.",
""
],
[
"Malik",
"R. P.",
""
]
] | We exploit the key concepts of the augmented version of superfield approach to Becchi-Rouet-Stora-Tyutin (BRST) formalism to derive the superspace (SUSP) dual unitary operator (and its Hermitian conjugate) and demonstrate their utility in the derivation of the nilpotent and absolutely anticommuting (anti-)dual BRST symmetry transformations for a set of interesting models of the Abelian 1-form gauge theories. These models are the one (0+1)-dimensional (1D) rigid rotor, modified versions of the two (1+1)-dimensional (2D) Proca as well as anomalous gauge theories and 2D model of a self-dual bosonic field theory. We show the universality of the SUSP dual unitary operator and its Hermitian conjugate in the cases of all the Abelian models under consideration. These SUSP dual unitary operators, besides maintaining the explicit group structure, provide the alternatives to the dual-horizontality condition (DHC) and dual-gauge invariant restrictions (DGIRs) of the superfield formalism. The derivation of the dual unitary operators and corresponding (anti-)dual BRST symmetries are completely novel results in our present investigation. |
2210.08628 | Benjamin Sung | James Halverson, Benjamin Sung, Jiahua Tian | Electric-Magnetic Duality in a Class of $G_2$-Compactifications of
M-theory | null | null | 10.1007/JHEP04(2023)089 | null | hep-th math.AG math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study electric-magnetic duality in compactifications of M-theory on
twisted connected sum (TCS) $G_2$ manifolds via duality with F-theory.
Specifically, we study the physics of the D3-branes in F-theory compactified on
a Calabi-Yau fourfold $Y$, dual to a compactification of M-theory on a TCS
$G_2$ manifold $X$. $\mathcal{N}=2$ supersymmetry is restored in an appropriate
geometric limit. In that limit, we demonstrate that the dual of D3-branes
probing seven-branes corresponds to the shrinking of certain surfaces and
curves, yielding light particles that may carry both electric and magnetic
charges. We provide evidence that the Minahan-Nemeschansky theories with $E_n$
flavor symmetry may be realized in this way. The $SL(2,\mathbb{Z})$ monodromy
of the 3/7-brane system is dual to a Fourier-Mukai transform of the dual
IIA/M-theory geometry in this limit, and we extrapolate this monodromy action
to the global compactification. Away from the limit, the theory is broken to
$\mathcal{N}=1$ supersymmetry by a D-term.
| [
{
"created": "Sun, 16 Oct 2022 20:07:56 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Mar 2023 05:20:54 GMT",
"version": "v2"
}
] | 2023-05-10 | [
[
"Halverson",
"James",
""
],
[
"Sung",
"Benjamin",
""
],
[
"Tian",
"Jiahua",
""
]
] | We study electric-magnetic duality in compactifications of M-theory on twisted connected sum (TCS) $G_2$ manifolds via duality with F-theory. Specifically, we study the physics of the D3-branes in F-theory compactified on a Calabi-Yau fourfold $Y$, dual to a compactification of M-theory on a TCS $G_2$ manifold $X$. $\mathcal{N}=2$ supersymmetry is restored in an appropriate geometric limit. In that limit, we demonstrate that the dual of D3-branes probing seven-branes corresponds to the shrinking of certain surfaces and curves, yielding light particles that may carry both electric and magnetic charges. We provide evidence that the Minahan-Nemeschansky theories with $E_n$ flavor symmetry may be realized in this way. The $SL(2,\mathbb{Z})$ monodromy of the 3/7-brane system is dual to a Fourier-Mukai transform of the dual IIA/M-theory geometry in this limit, and we extrapolate this monodromy action to the global compactification. Away from the limit, the theory is broken to $\mathcal{N}=1$ supersymmetry by a D-term. |
1512.07130 | Iva Lovrekovic | M. Irakleidou, I. Lovrekovic | Conformal gravity 1-loop partition function | 9 pages, comments and references added, Phys. Rev. D version | Phys. Rev. D 93, 104043 (2016) | 10.1103/PhysRevD.93.104043 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We evaluate the 1-loop partition function of conformal gravity in four
dimensions around an $AdS_4$ background, using the heat kernel techniques. We
give expressions for the relevant thermodynamical quantities and compare our
results with the ones from the literature.
| [
{
"created": "Tue, 22 Dec 2015 15:44:07 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Apr 2016 17:11:26 GMT",
"version": "v2"
}
] | 2016-05-25 | [
[
"Irakleidou",
"M.",
""
],
[
"Lovrekovic",
"I.",
""
]
] | We evaluate the 1-loop partition function of conformal gravity in four dimensions around an $AdS_4$ background, using the heat kernel techniques. We give expressions for the relevant thermodynamical quantities and compare our results with the ones from the literature. |
2209.10435 | Holger Gies | Holger Gies and Abdol Sabor Salek | Asymptotically Safe Hilbert-Palatini Gravity in an On-Shell Reduction
Scheme | 11 pages, 2 figures, 1 table | null | 10.1140/epjc/s10052-023-11324-1 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the renormalization flow of Hilbert-Palatini gravity to lowest
non-trivial order. We find evidence for an asymptotically safe high-energy
completion based on the existence of an ultraviolet fixed point similar to the
Reuter fixed point of quantum Einstein gravity. In order to manage the
quantization of the large number of independent degrees of freedom in terms of
the metric as well as the connection, we use an on-shell reduction scheme: for
this, we quantize all degrees of freedom beyond Einstein gravity at a given
order that remain after using the equations of motion at the preceding order.
In this way, we can straightforwardly keep track of the differences emerging
from quantizing Hilbert-Palatini gravity in comparison with Einstein gravity.
To lowest non-trivial order, the difference is parametrized by fluctuations of
an additional abelian gauge field. The critical properties of the ultraviolet
fixed point of Hilbert-Palatini gravity are similar to those of the Reuter
fixed point, occurring at a smaller Newton coupling and exhibiting more stable
higher order exponents.
| [
{
"created": "Wed, 21 Sep 2022 15:29:27 GMT",
"version": "v1"
}
] | 2023-03-22 | [
[
"Gies",
"Holger",
""
],
[
"Salek",
"Abdol Sabor",
""
]
] | We study the renormalization flow of Hilbert-Palatini gravity to lowest non-trivial order. We find evidence for an asymptotically safe high-energy completion based on the existence of an ultraviolet fixed point similar to the Reuter fixed point of quantum Einstein gravity. In order to manage the quantization of the large number of independent degrees of freedom in terms of the metric as well as the connection, we use an on-shell reduction scheme: for this, we quantize all degrees of freedom beyond Einstein gravity at a given order that remain after using the equations of motion at the preceding order. In this way, we can straightforwardly keep track of the differences emerging from quantizing Hilbert-Palatini gravity in comparison with Einstein gravity. To lowest non-trivial order, the difference is parametrized by fluctuations of an additional abelian gauge field. The critical properties of the ultraviolet fixed point of Hilbert-Palatini gravity are similar to those of the Reuter fixed point, occurring at a smaller Newton coupling and exhibiting more stable higher order exponents. |
hep-th/0304088 | Joseph Ambrose G. Pagaran | Joseph Ambrose G. Pagaran | Calculation of Higher Mass-Dimensional Effective Lagrangians in Quantum
Field Theory | 186 pages, MS Thesis | null | null | null | hep-th | null | A prescription for calculating low-energy one-loop higher-mass dimensional
effective Lagrangians for non-Abelian field theories is constructed in the
spirit of quasilocal background field method. Basis of Lorentz and
gauge-invariant monomials of similar mass-dimensions acting as building blocks
are matrix-multiplied in a specified order (usually dictated by a permutation
of tensorial indices) generating the much needed invariants. The same set of
building blocks is used to generate higher-order corrections for a specific
mass-dimension. Though the gauge group, the spacetime dimensions, the order of
corrections that can be included, and the mass-dimensions that can be formed
are all kept arbitrary in the prescription, we constructed basis invariants
from 3 up to 12 mass-dimensions to accommodate higher-order corrections up to
fourth-order. With these basis, we pursued solving the zeroth-order corrections
leading to invariants from 2 up to 16 mass-dimensions, for first-order from 4
up to 8 mass-dimensions, second and third order corrections from 6 up to 8
mass-dimensions. As a result, we have reproduced the zeroth-order corrections
showing dependence on the covariant derivative of the background matrix
potential. Previous calculation was done up to 12 mass-dimensions but this
dependence was not shown in closed form. For higher-order corrections, the case
for 4 up to 6 mass-dimensions are also reproduced. Finally, we calculated the
case for 8 mass-dimensions which is reduced only by exploiting the antisymmetry
of the fieldstrength tensor and the freedom to throw away total derivatives.
| [
{
"created": "Wed, 9 Apr 2003 16:43:49 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Pagaran",
"Joseph Ambrose G.",
""
]
] | A prescription for calculating low-energy one-loop higher-mass dimensional effective Lagrangians for non-Abelian field theories is constructed in the spirit of quasilocal background field method. Basis of Lorentz and gauge-invariant monomials of similar mass-dimensions acting as building blocks are matrix-multiplied in a specified order (usually dictated by a permutation of tensorial indices) generating the much needed invariants. The same set of building blocks is used to generate higher-order corrections for a specific mass-dimension. Though the gauge group, the spacetime dimensions, the order of corrections that can be included, and the mass-dimensions that can be formed are all kept arbitrary in the prescription, we constructed basis invariants from 3 up to 12 mass-dimensions to accommodate higher-order corrections up to fourth-order. With these basis, we pursued solving the zeroth-order corrections leading to invariants from 2 up to 16 mass-dimensions, for first-order from 4 up to 8 mass-dimensions, second and third order corrections from 6 up to 8 mass-dimensions. As a result, we have reproduced the zeroth-order corrections showing dependence on the covariant derivative of the background matrix potential. Previous calculation was done up to 12 mass-dimensions but this dependence was not shown in closed form. For higher-order corrections, the case for 4 up to 6 mass-dimensions are also reproduced. Finally, we calculated the case for 8 mass-dimensions which is reduced only by exploiting the antisymmetry of the fieldstrength tensor and the freedom to throw away total derivatives. |
2002.08279 | Javier Gomez Subils | Daniel Elander, Anton F. Faedo, David Mateos, Javier G. Subils | Phase transitions in a three-dimensional analogue of Klebanov-Strassler | 23 pages, 14 figures | null | 10.1007/JHEP06(2020)131 | ICCUB-20-005 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use top-down holography to study the thermodynamics of a one-parameter
family of three-dimensional, strongly coupled Yang-Mills-Chern-Simons theories
with M-theory duals. For generic values of the parameter, the theories exhibit
a mass gap but no confinement, meaning no linear quark-antiquark potential. For
two specific values of the parameter they flow to an infrared fixed point or to
a confining vacuum, respectively. As in the Klebanov-Strassler solution, on the
gravity side the mass gap is generated by the smooth collapse to zero size of a
cycle in the internal geometry. We uncover a rich phase diagram with thermal
phase transitions of first and second order, a triple point and a critical
point.
| [
{
"created": "Wed, 19 Feb 2020 16:47:24 GMT",
"version": "v1"
}
] | 2020-07-15 | [
[
"Elander",
"Daniel",
""
],
[
"Faedo",
"Anton F.",
""
],
[
"Mateos",
"David",
""
],
[
"Subils",
"Javier G.",
""
]
] | We use top-down holography to study the thermodynamics of a one-parameter family of three-dimensional, strongly coupled Yang-Mills-Chern-Simons theories with M-theory duals. For generic values of the parameter, the theories exhibit a mass gap but no confinement, meaning no linear quark-antiquark potential. For two specific values of the parameter they flow to an infrared fixed point or to a confining vacuum, respectively. As in the Klebanov-Strassler solution, on the gravity side the mass gap is generated by the smooth collapse to zero size of a cycle in the internal geometry. We uncover a rich phase diagram with thermal phase transitions of first and second order, a triple point and a critical point. |
hep-th/0003141 | null | Jos\'e M. Gracia-Bond\'ia (Univ. Complutense de Madrid) | The Phase of the Scattering Matrix | 13 pages, PlainTeX | Phys.Lett. B482 (2000) 315-322 | 10.1016/S0370-2693(00)00473-1 | null | hep-th | null | Vacuum polarization in external fields is treated by way of calculating -
exactly and then perturbatively - the phase of the quantum scattering matrix in
the Shale-Stinespring approach to field theory. The link between the
Shale-Stinespring method and the Epstein-Glaser renormalization procedure is
highlighted.
| [
{
"created": "Thu, 16 Mar 2000 16:15:04 GMT",
"version": "v1"
}
] | 2016-08-15 | [
[
"Gracia-Bondía",
"José M.",
"",
"Univ. Complutense de Madrid"
]
] | Vacuum polarization in external fields is treated by way of calculating - exactly and then perturbatively - the phase of the quantum scattering matrix in the Shale-Stinespring approach to field theory. The link between the Shale-Stinespring method and the Epstein-Glaser renormalization procedure is highlighted. |
hep-th/9610220 | Silvio Paolo Sorella | L.C.Q.Vilar, C.A.G.Sasaki and S.P. Sorella | Zero Curvature Formalism of the 4D Yang-Mills Theory in Superspace | 31 pages, LateX2e, final version to appear in J. Math. Phys | J.Math.Phys.40:2735-2756,1999 | 10.1063/1.532726 | UERJ/DFT-03/98 | hep-th | null | The supersymmetric descent equations in superspace are discussed by means of
the introduction of two operators which allow to decompose the supersymmetric
covariant derivatives as BRS commutators.
| [
{
"created": "Mon, 28 Oct 1996 19:51:08 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Apr 1999 16:50:21 GMT",
"version": "v2"
}
] | 2010-02-04 | [
[
"Vilar",
"L. C. Q.",
""
],
[
"Sasaki",
"C. A. G.",
""
],
[
"Sorella",
"S. P.",
""
]
] | The supersymmetric descent equations in superspace are discussed by means of the introduction of two operators which allow to decompose the supersymmetric covariant derivatives as BRS commutators. |
1904.08370 | Eugenio Bianchi | Eugenio Bianchi, Pietro Dona | Typical entanglement entropy in the presence of a center: Page curve and
its variance | 6 pages + 7 pages, 2 figures. v3: discussion of the role of the
center extended | Phys. Rev. D 100, 105010 (2019) | 10.1103/PhysRevD.100.105010 | IGC-19/4-1 | hep-th cond-mat.stat-mech gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a quantum system in a pure state, a subsystem generally has a nonzero
entropy because of entanglement with the rest of the system. Is the average
entanglement entropy of pure states also the typical entropy of the subsystem?
We present a method to compute the exact formula of the momenta of the
probability $P(S_A) \mathrm{d}S_A$ that a subsystem has entanglement entropy
$S_A$. The method applies to subsystems defined by a subalgebra of observables
with a center. In the case of a trivial center, we reobtain the well-known
result for the average entropy and the formula for the variance. In the
presence of a nontrivial center, the Hilbert space does not have a tensor
product structure and the well-known formula does not apply. We present the
exact formula for the average entanglement entropy and its variance in the
presence of a center. We show that for large systems the variance is small,
$\Delta S_A/\langle{S_{A}}\rangle\ll 1$, and therefore the average entanglement
entropy is typical. We compare exact and numerical results for the probability
distribution and comment on the relation to previous results on concentration
of measure bounds. We discuss the application to physical systems where a
center arises. In particular, for a system of noninteracting spins in a
magnetic field and for a free quantum field, we show how the thermal entropy
arises as the typical entanglement entropy of energy eigenstates.
| [
{
"created": "Wed, 17 Apr 2019 17:11:43 GMT",
"version": "v1"
},
{
"created": "Sat, 1 Jun 2019 20:35:03 GMT",
"version": "v2"
},
{
"created": "Mon, 18 Nov 2019 15:36:36 GMT",
"version": "v3"
}
] | 2019-11-19 | [
[
"Bianchi",
"Eugenio",
""
],
[
"Dona",
"Pietro",
""
]
] | In a quantum system in a pure state, a subsystem generally has a nonzero entropy because of entanglement with the rest of the system. Is the average entanglement entropy of pure states also the typical entropy of the subsystem? We present a method to compute the exact formula of the momenta of the probability $P(S_A) \mathrm{d}S_A$ that a subsystem has entanglement entropy $S_A$. The method applies to subsystems defined by a subalgebra of observables with a center. In the case of a trivial center, we reobtain the well-known result for the average entropy and the formula for the variance. In the presence of a nontrivial center, the Hilbert space does not have a tensor product structure and the well-known formula does not apply. We present the exact formula for the average entanglement entropy and its variance in the presence of a center. We show that for large systems the variance is small, $\Delta S_A/\langle{S_{A}}\rangle\ll 1$, and therefore the average entanglement entropy is typical. We compare exact and numerical results for the probability distribution and comment on the relation to previous results on concentration of measure bounds. We discuss the application to physical systems where a center arises. In particular, for a system of noninteracting spins in a magnetic field and for a free quantum field, we show how the thermal entropy arises as the typical entanglement entropy of energy eigenstates. |
1202.1962 | Sumit Ghosh | Sumit Ghosh | Generalized Uncertainty Principle, Modified Dispersion Relation and
Barrier penetration by a Dirac particle | 10 pages, 7 figures, LaTex | null | 10.1007/s10773-014-2265-8 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We have studied the energy band structure of a Dirac particle in presence of
a generalised uncertainty principle (GUP). We start from defining a modified
momentum operator and derive corresponding modified dispersion relation (MDR)
and GUP. Apart from the forbidden band within the range $\pm m$, $m$ being the
mass of the particle, we find the existence of additional forbidden bands at
the both ends of the spectrum. Such band structure forbids a Dirac particle to
penetrate a potential step of sufficient height ($\sim E_P$, $E_P$ being Planck
energy). This is also true for massless particle. Unlike the relativistic case,
a massless particle also can reflect from a barrier of sufficient height.
Finally we discuss about the Klein's paradox in presence of the GUP.
| [
{
"created": "Thu, 9 Feb 2012 12:19:15 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Aug 2012 11:55:59 GMT",
"version": "v2"
},
{
"created": "Thu, 27 Mar 2014 12:31:57 GMT",
"version": "v3"
}
] | 2014-08-05 | [
[
"Ghosh",
"Sumit",
""
]
] | We have studied the energy band structure of a Dirac particle in presence of a generalised uncertainty principle (GUP). We start from defining a modified momentum operator and derive corresponding modified dispersion relation (MDR) and GUP. Apart from the forbidden band within the range $\pm m$, $m$ being the mass of the particle, we find the existence of additional forbidden bands at the both ends of the spectrum. Such band structure forbids a Dirac particle to penetrate a potential step of sufficient height ($\sim E_P$, $E_P$ being Planck energy). This is also true for massless particle. Unlike the relativistic case, a massless particle also can reflect from a barrier of sufficient height. Finally we discuss about the Klein's paradox in presence of the GUP. |
hep-th/0204210 | Renate Loll | B. Dittrich (AEI, Golm), R. Loll (U. Utrecht) | A Hexagon Model for 3D Lorentzian Quantum Cosmology | 34 pages, 20 figures, some clarifying remarks added, final version to
appear in Phys Rev D | Phys.Rev. D66 (2002) 084016 | 10.1103/PhysRevD.66.084016 | SPIN-2002/11 | hep-th gr-qc | null | We formulate a dynamically triangulated model of three-dimensional Lorentzian
quantum gravity whose spatial sections are flat two-tori. It is shown that the
combinatorics involved in evaluating the one-step propagator (the transfer
matrix) is that of a set of vicious walkers on a two-dimensional lattice with
periodic boundary conditions and that the entropy of the model scales
exponentially with the volume. We also give explicit expressions for the
Teichm\"uller parameters of the spatial slices in terms of the discrete
parameters of the 3d triangulations, and reexpress the discretized action in
terms of them. The relative simplicity and explicitness of this model make it
ideally suited for an analytic study of the conformal-factor cancellation
observed previously in Lorentzian dynamical triangulations and of its relation
to alternative, reduced phase space quantizations of 3d gravity.
| [
{
"created": "Wed, 24 Apr 2002 16:11:36 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Sep 2002 10:22:33 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Dittrich",
"B.",
"",
"AEI, Golm"
],
[
"Loll",
"R.",
"",
"U. Utrecht"
]
] | We formulate a dynamically triangulated model of three-dimensional Lorentzian quantum gravity whose spatial sections are flat two-tori. It is shown that the combinatorics involved in evaluating the one-step propagator (the transfer matrix) is that of a set of vicious walkers on a two-dimensional lattice with periodic boundary conditions and that the entropy of the model scales exponentially with the volume. We also give explicit expressions for the Teichm\"uller parameters of the spatial slices in terms of the discrete parameters of the 3d triangulations, and reexpress the discretized action in terms of them. The relative simplicity and explicitness of this model make it ideally suited for an analytic study of the conformal-factor cancellation observed previously in Lorentzian dynamical triangulations and of its relation to alternative, reduced phase space quantizations of 3d gravity. |
1309.3266 | Jun Nian | Jun Nian | Localization of Supersymmetric Chern-Simons-Matter Theory on a Squashed
$S^3$ with $SU(2)\times U(1)$ Isometry | 45 pages, Appendix D and some references added, typos corrected | JHEP07(2014)126 | 10.1007/JHEP07(2014)126 | YITP-SB-13-28 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Localization of supersymmetric $\mathcal{N}=2$ Chern-Simons-Matter theory on
a squashed $S^3$ with $SU(2)\times U(1)$ isometry has been studied by different
groups of authors. In this paper, we localize the theory on a squashed $S^3$
with $SU(2)\times U(1)$ isometry and a class of complex background. We see that
certain kinds of shifts of the background gauge fields are crucial in obtaining
nontrivial results, and the previously found results on this manifold can be
incorporated in our results as special limits.
| [
{
"created": "Thu, 12 Sep 2013 19:57:28 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Jul 2014 02:19:22 GMT",
"version": "v2"
}
] | 2014-07-31 | [
[
"Nian",
"Jun",
""
]
] | Localization of supersymmetric $\mathcal{N}=2$ Chern-Simons-Matter theory on a squashed $S^3$ with $SU(2)\times U(1)$ isometry has been studied by different groups of authors. In this paper, we localize the theory on a squashed $S^3$ with $SU(2)\times U(1)$ isometry and a class of complex background. We see that certain kinds of shifts of the background gauge fields are crucial in obtaining nontrivial results, and the previously found results on this manifold can be incorporated in our results as special limits. |
1404.0817 | Pablo G. Camara | Pablo G. Camara, Luis E. Ibanez and Irene Valenzuela | Flux-induced Soft Terms on Type IIB/F-theory Matter Curves and
Hypercharge Dependent Scalar Masses | 67 pages, 2 figures, 2 tables | null | 10.1007/JHEP06(2014)119 | IFT-UAM/CSIC-14-29 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Closed string fluxes induce generically SUSY-breaking soft terms on
supersymmetric type IIB orientifold compactifications with D3/D7 branes. This
was studied in the past by inserting those fluxes on the DBI+CS actions for
adjoint D3/D7 fields, where D7-branes had no magnetic fluxes. In the present
work we generalise those computations to the phenomenologically more relevant
case of chiral bi-fundamental fields laying at 7-brane intersections and
F-theory local matter curves. We also include the effect of 7-brane magnetic
flux as well as more general closed string backgrounds, including the effect of
distant (anti-)D3-branes. We discuss several applications of our results. We
find that squark/slepton masses become in general flux-dependent in F-theory
GUT's. Hypercharge-dependent non-universal scalar masses with a characteristic
sfermion hierarchy m_E^2 < m_L^2 < m_Q^2 < m_D^2 < m_U^2 are obtained. There
are also flavor-violating soft terms both for matter fields living at
intersecting 7-branes or on D3-branes at singularities. They point at a very
heavy sfermion spectrum to avoid FCNC constraints. We also discuss the possible
microscopic description of the fine-tuning of the EW Higgs boson in
compactifications with a MSSM spectrum.
| [
{
"created": "Thu, 3 Apr 2014 09:47:36 GMT",
"version": "v1"
}
] | 2015-06-19 | [
[
"Camara",
"Pablo G.",
""
],
[
"Ibanez",
"Luis E.",
""
],
[
"Valenzuela",
"Irene",
""
]
] | Closed string fluxes induce generically SUSY-breaking soft terms on supersymmetric type IIB orientifold compactifications with D3/D7 branes. This was studied in the past by inserting those fluxes on the DBI+CS actions for adjoint D3/D7 fields, where D7-branes had no magnetic fluxes. In the present work we generalise those computations to the phenomenologically more relevant case of chiral bi-fundamental fields laying at 7-brane intersections and F-theory local matter curves. We also include the effect of 7-brane magnetic flux as well as more general closed string backgrounds, including the effect of distant (anti-)D3-branes. We discuss several applications of our results. We find that squark/slepton masses become in general flux-dependent in F-theory GUT's. Hypercharge-dependent non-universal scalar masses with a characteristic sfermion hierarchy m_E^2 < m_L^2 < m_Q^2 < m_D^2 < m_U^2 are obtained. There are also flavor-violating soft terms both for matter fields living at intersecting 7-branes or on D3-branes at singularities. They point at a very heavy sfermion spectrum to avoid FCNC constraints. We also discuss the possible microscopic description of the fine-tuning of the EW Higgs boson in compactifications with a MSSM spectrum. |
hep-th/9211101 | null | Paulo F.Bedaque and Ashok Das | \delta-expansion and self-consistent calculation | 8 pages, UR-1289 | null | null | null | hep-th hep-ph | null | We compare results from $\delta$--expansion, in simple theories, with
self--consistent calculations as well as calculations involving the principle
of minimal sensitivity. We show that the latter methods give relatively more
accurate results order by order.
| [
{
"created": "Tue, 24 Nov 1992 01:03:00 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Bedaque",
"Paulo F.",
""
],
[
"Das",
"Ashok",
""
]
] | We compare results from $\delta$--expansion, in simple theories, with self--consistent calculations as well as calculations involving the principle of minimal sensitivity. We show that the latter methods give relatively more accurate results order by order. |
1902.09491 | Md Riajul Haque | Md Riajul Haque, Debaprasad Maity | Reheating Constraints on Inflaton, Dark Matter: Swampland Conjecture | 18 pages, 4 figures, 1 table | Phys. Rev. D 99, 103534 (2019) | 10.1103/PhysRevD.99.103534 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we studied the phenomenological consequences of recently
proposed swampland conjecture on the inflationary models though constraints on
reheating. If dark matter is assumed to be produced during reheating, the
conjecture will provide further constraints on the dark matter parameter space
through its current relic abundance. As has been pointed out already and also
analyzed in our present paper any successful inflationary scenario is in clear
tension with the aforementioned conjecture in its current form. However
considering the swampland parameters to be free and constrained by the
inflationary observables, we studied in detail its consequence on the reheating
and dark matter phenomenology. We point out the connection between swampland
conjecture and the scalar spectral index $n_s$ by PLANCK within current $2
\sigma$ range, and associated constraints imposed on the reheating temperature
and the dark matter annihilation cross-section.
| [
{
"created": "Mon, 25 Feb 2019 18:13:49 GMT",
"version": "v1"
},
{
"created": "Sat, 2 Mar 2019 16:43:47 GMT",
"version": "v2"
}
] | 2019-06-05 | [
[
"Haque",
"Md Riajul",
""
],
[
"Maity",
"Debaprasad",
""
]
] | In this paper, we studied the phenomenological consequences of recently proposed swampland conjecture on the inflationary models though constraints on reheating. If dark matter is assumed to be produced during reheating, the conjecture will provide further constraints on the dark matter parameter space through its current relic abundance. As has been pointed out already and also analyzed in our present paper any successful inflationary scenario is in clear tension with the aforementioned conjecture in its current form. However considering the swampland parameters to be free and constrained by the inflationary observables, we studied in detail its consequence on the reheating and dark matter phenomenology. We point out the connection between swampland conjecture and the scalar spectral index $n_s$ by PLANCK within current $2 \sigma$ range, and associated constraints imposed on the reheating temperature and the dark matter annihilation cross-section. |
0905.2014 | E. Aldo Arroyo | E. Aldo Arroyo | Cubic interaction term for Schnabl's solution using Pade approximants | 13 pages, added references and fixed typos | J.Phys.A42:375402,2009 | 10.1088/1751-8113/42/37/375402 | IFT-P.004/2009 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We evaluate the cubic interaction term in the action of open bosonic string
field theory for Schnabl's solution written in terms of Bernoulli numbers. This
computation provides us with a new evidence for the fact that the string field
equation of motion is satisfied when it is contracted with the solution itself.
| [
{
"created": "Wed, 13 May 2009 04:55:01 GMT",
"version": "v1"
},
{
"created": "Wed, 20 May 2009 17:08:43 GMT",
"version": "v2"
}
] | 2014-10-27 | [
[
"Arroyo",
"E. Aldo",
""
]
] | We evaluate the cubic interaction term in the action of open bosonic string field theory for Schnabl's solution written in terms of Bernoulli numbers. This computation provides us with a new evidence for the fact that the string field equation of motion is satisfied when it is contracted with the solution itself. |
hep-th/0009161 | Wang-Chang Su | Wang-Chang Su | Abelian Decomposition of Sp(2N) Yang-Mills Theory | latex, 8 pages | Phys.Lett. B499 (2001) 275-279 | 10.1016/S0370-2693(01)00038-7 | null | hep-th | null | In the previous paper, we generalized the method of Abelian decomposition to
the case of SO(N) Yang-Mills theory. This method that was proposed by Faddeev
and Niemi introduces a set of variables for describing the infrared limit of a
Yang-Mills theory. Here, we extend the decomposition method further to the
general case of four-dimensional Sp(2N) Yang-Mills theory. We find that the
Sp(2N) connection decomposes according to irreducible representations of SO(N).
| [
{
"created": "Thu, 21 Sep 2000 08:52:05 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Su",
"Wang-Chang",
""
]
] | In the previous paper, we generalized the method of Abelian decomposition to the case of SO(N) Yang-Mills theory. This method that was proposed by Faddeev and Niemi introduces a set of variables for describing the infrared limit of a Yang-Mills theory. Here, we extend the decomposition method further to the general case of four-dimensional Sp(2N) Yang-Mills theory. We find that the Sp(2N) connection decomposes according to irreducible representations of SO(N). |
hep-th/0509128 | Julien Grain | J. Grain, A. Barrau, P. Kanti | Exact Results for Evaporating Black Holes in Curvature-Squared Lovelock
Gravity: Gauss-Bonnet Greybody Factors | 29 pages, Latex file, 11 figures, Data files (greybody factors)
available at http://lpsc.in2p3.fr/ams/greybody/, typos corrected, references
added, version to appear in Phys. Rev. D | Phys.Rev.D72:104016,2005 | 10.1103/PhysRevD.72.104016 | DCPT-05/41 | hep-th astro-ph gr-qc hep-ph | null | Lovelock gravity is an important extension of General Relativity that
provides a promising framework to study curvature corrections to the Einstein
action, while avoiding ghosts and keeping second order field equations. This
paper derives the greybody factors for D-dimensional black holes arising in a
theory with a Gauss-Bonnet curvature-squared term. These factors describe the
non-trivial coupling between black holes and quantum fields during the
evaporation process: they can be used both from a theoretical viewpoint to
investigate the intricate spacetime structure around such a black hole, and for
phenomenological purposes in the framework of braneworld models with a low
Planck scale. We derive exact spectra for the emission of scalar, fermion and
gauge fields emitted on the brane, and for scalar fields emitted in the bulk,
and demonstrate how the Gauss-Bonnet term can change the bulk-to-brane emission
rates ratio in favour of the bulk channel in particular frequency regimes.
| [
{
"created": "Fri, 16 Sep 2005 10:24:42 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Nov 2005 10:27:09 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Grain",
"J.",
""
],
[
"Barrau",
"A.",
""
],
[
"Kanti",
"P.",
""
]
] | Lovelock gravity is an important extension of General Relativity that provides a promising framework to study curvature corrections to the Einstein action, while avoiding ghosts and keeping second order field equations. This paper derives the greybody factors for D-dimensional black holes arising in a theory with a Gauss-Bonnet curvature-squared term. These factors describe the non-trivial coupling between black holes and quantum fields during the evaporation process: they can be used both from a theoretical viewpoint to investigate the intricate spacetime structure around such a black hole, and for phenomenological purposes in the framework of braneworld models with a low Planck scale. We derive exact spectra for the emission of scalar, fermion and gauge fields emitted on the brane, and for scalar fields emitted in the bulk, and demonstrate how the Gauss-Bonnet term can change the bulk-to-brane emission rates ratio in favour of the bulk channel in particular frequency regimes. |
hep-th/9607229 | A. Sagnotti | C. Angelantonj (U. Aquila), M. Bianchi, G. Pradisi, A. Sagnotti and
Ya.S. Stanev (U. Roma "Tor Vergata") | Comments on Gepner Models and Type I Vacua in String Theory | 13 pages, LATEX | Phys.Lett.B387:743-749,1996 | 10.1016/0370-2693(96)01124-0 | ROM2F-96/35 | hep-th | null | We construct open descendants of Gepner models, concentrating mainly on the
six-dimensional case, where they give type I vacua with rich patterns of
Chan-Paton symmetry breaking and various numbers of tensor multiplets,
including zero. We also relate the models in $D < 10$ without open sectors,
recently found by other authors, to the generalized Klein-bottle projections
allowed by the crosscap constraint.
| [
{
"created": "Tue, 30 Jul 1996 15:26:25 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Angelantonj",
"C.",
"",
"U. Aquila"
],
[
"Bianchi",
"M.",
"",
"U. Roma \"Tor Vergata\""
],
[
"Pradisi",
"G.",
"",
"U. Roma \"Tor Vergata\""
],
[
"Sagnotti",
"A.",
"",
"U. Roma \"Tor Vergata\""
],
[
"Stanev",
"Ya. S.",
"",
"U. Roma \"Tor Vergata\""
]
] | We construct open descendants of Gepner models, concentrating mainly on the six-dimensional case, where they give type I vacua with rich patterns of Chan-Paton symmetry breaking and various numbers of tensor multiplets, including zero. We also relate the models in $D < 10$ without open sectors, recently found by other authors, to the generalized Klein-bottle projections allowed by the crosscap constraint. |
0809.5137 | Christoph A. Stephan | Christoph A. Stephan | Krajewski diagrams and the Standard Model | null | J.Math.Phys.50:043515,2009 | 10.1063/1.3112622 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper provides a complete list of Krajewski diagrams representing the
standard model of particle physics. We will give the possible representations
of the algebra and the anomaly free lifts which provide the representation of
the standard model gauge group on the fermionic Hilbert space. The algebra
representations following from the Krajewski diagrams are not complete in the
sense that the corresponding spectral triples do not necessarily obey to the
axiom of Poincare duality. This defect may be repaired by adding new particles
to the model, i.e. by building models beyond the standard model. The aim of
this list of finite spectral triples (up to Poincare duality) is therefore to
provide a basis for model building beyond the standard model.
| [
{
"created": "Tue, 30 Sep 2008 08:47:54 GMT",
"version": "v1"
}
] | 2009-05-26 | [
[
"Stephan",
"Christoph A.",
""
]
] | This paper provides a complete list of Krajewski diagrams representing the standard model of particle physics. We will give the possible representations of the algebra and the anomaly free lifts which provide the representation of the standard model gauge group on the fermionic Hilbert space. The algebra representations following from the Krajewski diagrams are not complete in the sense that the corresponding spectral triples do not necessarily obey to the axiom of Poincare duality. This defect may be repaired by adding new particles to the model, i.e. by building models beyond the standard model. The aim of this list of finite spectral triples (up to Poincare duality) is therefore to provide a basis for model building beyond the standard model. |
hep-th/9610128 | Dirk Kreimer | Dirk Kreimer (Mainz Univ.) | On knots in subdivergent diagrams | 15 pages, latex, uses epsf for 10 figs. To appear in Z.Phys.C,
results now discussed from the point of view of Gauss codes | Eur.Phys.J.C2:757-767,1998 | 10.1007/s100520050180 | MZ-TH/96-31 | hep-th hep-ph math.QA q-alg | null | We investigate Feynman diagrams which are calculable in terms of generalized
one-loop functions, and explore how the presence or absence of transcendentals
in their counterterms reflects the entanglement of link diagram constructed
from them and explains unexpected relations between them.
| [
{
"created": "Thu, 17 Oct 1996 09:18:32 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Oct 1996 09:28:58 GMT",
"version": "v2"
},
{
"created": "Mon, 14 Jul 1997 09:03:33 GMT",
"version": "v3"
}
] | 2011-09-13 | [
[
"Kreimer",
"Dirk",
"",
"Mainz Univ."
]
] | We investigate Feynman diagrams which are calculable in terms of generalized one-loop functions, and explore how the presence or absence of transcendentals in their counterterms reflects the entanglement of link diagram constructed from them and explains unexpected relations between them. |
1011.5362 | Raju Roychowdhury | Vincenzo Parente and Raju Roychowdhury | A Study on Charged Neutron Star in $AdS_5$ | 20 pages, 6 figures | JHEP 1104:111,2011 | 10.1007/JHEP04(2011)111 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by an open question raised in recent times regarding the phase
transition during the collapse of a neutron star to form a black hole and
related stability issues, we have constructed charged neutron stars in $AdS_5$
and show that these stars become unstable at a particular value of their
radius, regarded as the Chandrasekhar radius. We reproduced the calculations
recently done in [20] in our $AdS_5$ charged star. The analysis shows that the
non-Fermi liquid behavior found there in $AdS_4$ is still true in this higher
dimensional case with the presence of Kosevich-Lifshitz oscillations.
| [
{
"created": "Wed, 24 Nov 2010 12:57:23 GMT",
"version": "v1"
}
] | 2011-07-22 | [
[
"Parente",
"Vincenzo",
""
],
[
"Roychowdhury",
"Raju",
""
]
] | Motivated by an open question raised in recent times regarding the phase transition during the collapse of a neutron star to form a black hole and related stability issues, we have constructed charged neutron stars in $AdS_5$ and show that these stars become unstable at a particular value of their radius, regarded as the Chandrasekhar radius. We reproduced the calculations recently done in [20] in our $AdS_5$ charged star. The analysis shows that the non-Fermi liquid behavior found there in $AdS_4$ is still true in this higher dimensional case with the presence of Kosevich-Lifshitz oscillations. |
2104.02360 | Eugene Loginov | E.K. Loginov | Solitons and exotic instantons | 15 pages, LaTeX, no figures | Phys. Rev. D104 (2021) 106003 | 10.1103/PhysRevD.104.106003 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we study the 't Hooft type instantons in eight dimensions,
which satisfy the (anti)self-dual equations $F\wedge F=\pm\ast_8F\wedge F$.
Using various designs of such instantons, we find new soliton solutions to the
low-energy effective theory of the heterotic fivebrane. We investigate
conditions under which these instanton configurations can be identified with
the $D$-instantons embedded in the $D7$-brane world volume. Finally, we discuss
the relationship between eight-dimensional periodic instantons and monopoles.
| [
{
"created": "Tue, 6 Apr 2021 08:37:01 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Nov 2021 16:03:10 GMT",
"version": "v2"
}
] | 2021-11-09 | [
[
"Loginov",
"E. K.",
""
]
] | In this paper, we study the 't Hooft type instantons in eight dimensions, which satisfy the (anti)self-dual equations $F\wedge F=\pm\ast_8F\wedge F$. Using various designs of such instantons, we find new soliton solutions to the low-energy effective theory of the heterotic fivebrane. We investigate conditions under which these instanton configurations can be identified with the $D$-instantons embedded in the $D7$-brane world volume. Finally, we discuss the relationship between eight-dimensional periodic instantons and monopoles. |
1512.09175 | Cheng-Yang Lee | Cheng-Yang Lee | Quantum field theory with a preferred direction: The very special
relativity framework | 18 pages, 4 figures. Typos corrected. Published in Phys. Rev. D 93,
045011 (2016). arXiv admin note: text overlap with arXiv:1306.5491 | null | 10.1103/PhysRevD.93.045011 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The theory of very special relativity (VSR) proposed by Cohen and Glashow
contains an intrinsic preferred direction. Starting from the irreducible
unitary representation of the inhomogeneous VSR group $ISIM(2)$, we present a
rigorous construction of quantum field theory with a preferred direction. We
find, although the particles and their quantum fields between the VSR and
Lorentz sectors are physically different, they share many similarities. The
massive spin-half and spin-one vector fields are local and satisfy the Dirac
and Proca equations respectively. This result can be generalised to higher-spin
field theories. By studying the Yukawa and standard gauge interactions, we
obtain a qualitative understanding on the effects of the preferred direction.
Its effect is manifest for polarised processes but are otherwise absent.
| [
{
"created": "Wed, 30 Dec 2015 22:50:52 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Feb 2016 19:24:37 GMT",
"version": "v2"
}
] | 2016-02-23 | [
[
"Lee",
"Cheng-Yang",
""
]
] | The theory of very special relativity (VSR) proposed by Cohen and Glashow contains an intrinsic preferred direction. Starting from the irreducible unitary representation of the inhomogeneous VSR group $ISIM(2)$, we present a rigorous construction of quantum field theory with a preferred direction. We find, although the particles and their quantum fields between the VSR and Lorentz sectors are physically different, they share many similarities. The massive spin-half and spin-one vector fields are local and satisfy the Dirac and Proca equations respectively. This result can be generalised to higher-spin field theories. By studying the Yukawa and standard gauge interactions, we obtain a qualitative understanding on the effects of the preferred direction. Its effect is manifest for polarised processes but are otherwise absent. |
1607.06463 | Pablo Bueno | Pablo Bueno and Pablo A. Cano | Einsteinian cubic gravity | 6 pages | Phys. Rev. D 94, 104005 (2016) | 10.1103/PhysRevD.94.104005 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We drastically simplify the problem of linearizing a general higher-order
theory of gravity. We reduce it to the evaluation of its Lagrangian on a
particular Riemann tensor depending on two parameters, and the computation of
two derivatives with respect to one of those parameters. We use our method to
construct a D-dimensional cubic theory of gravity which satisfies the following
properties: 1) it shares the spectrum of Einstein gravity, i.e., it only
propagates a transverse and massless graviton on a maximally symmetric
background; 2) the relative coefficients of the different curvature invariants
involved are the same in all dimensions; 3) it is neither trivial nor
topological in four dimensions. Up to cubic order in curvature, the only
previously known theories satisfying the first two requirements are the
Lovelock ones: Einstein gravity, Gauss-Bonnet and cubic-Lovelock. Of course,
the last two theories fail to satisfy requirement 3 as they are, respectively,
topological and trivial in four dimensions. We show that, up to cubic order,
there exists only one additional theory satisfying requirements 1 and 2.
Interestingly, this theory is, along with Einstein gravity, the only theory
which also satisfies 3.
| [
{
"created": "Thu, 21 Jul 2016 20:00:07 GMT",
"version": "v1"
}
] | 2016-11-09 | [
[
"Bueno",
"Pablo",
""
],
[
"Cano",
"Pablo A.",
""
]
] | We drastically simplify the problem of linearizing a general higher-order theory of gravity. We reduce it to the evaluation of its Lagrangian on a particular Riemann tensor depending on two parameters, and the computation of two derivatives with respect to one of those parameters. We use our method to construct a D-dimensional cubic theory of gravity which satisfies the following properties: 1) it shares the spectrum of Einstein gravity, i.e., it only propagates a transverse and massless graviton on a maximally symmetric background; 2) the relative coefficients of the different curvature invariants involved are the same in all dimensions; 3) it is neither trivial nor topological in four dimensions. Up to cubic order in curvature, the only previously known theories satisfying the first two requirements are the Lovelock ones: Einstein gravity, Gauss-Bonnet and cubic-Lovelock. Of course, the last two theories fail to satisfy requirement 3 as they are, respectively, topological and trivial in four dimensions. We show that, up to cubic order, there exists only one additional theory satisfying requirements 1 and 2. Interestingly, this theory is, along with Einstein gravity, the only theory which also satisfies 3. |
1405.0904 | Giampiero Esposito Dr. | Emmanuele Battista, Giampiero Esposito, Paolo Scudellaro, Francesco
Tramontano | Riemann curvature of a boosted spacetime geometry | 33 pages, 8 figures. In the new version, a section and new references
have been added, and the presentation has been amended and improved | null | 10.1142/S021988781650002X | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The ultrarelativistic boosting procedure had been applied in the literature
to map the metric of Schwarzschild-de Sitter spacetime into a metric describing
de Sitter spacetime plus a shock-wave singularity located on a null
hypersurface. This paper evaluates the Riemann curvature tensor of the boosted
Schwarzschild-de Sitter metric by means of numerical calculations, which make
it possible to reach the ultrarelativistic regime gradually by letting the
boost velocity approach the speed of light. Thus, for the first time in the
literature, the singular limit of curvature through Dirac's delta distribution
and its derivatives is numerically evaluated for this class of spacetimes.
Eventually, the analysis of the Kretschmann invariant and the geodesic equation
show that the spacetime possesses a scalar curvature singularity within a
3-sphere and it is possible to define what we here call boosted horizon, a sort
of elastic wall where all particles are surprisingly pushed away, as numerical
analysis demonstrates. This seems to suggest that boosted geometries are ruled
by a sort of antigravity effect since all geodesics seem to refuse to enter the
boosted horizon, even though their initial conditions are aimed at driving the
particles towards the boosted horizon.
| [
{
"created": "Mon, 5 May 2014 14:01:14 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Sep 2015 16:01:49 GMT",
"version": "v2"
}
] | 2016-01-06 | [
[
"Battista",
"Emmanuele",
""
],
[
"Esposito",
"Giampiero",
""
],
[
"Scudellaro",
"Paolo",
""
],
[
"Tramontano",
"Francesco",
""
]
] | The ultrarelativistic boosting procedure had been applied in the literature to map the metric of Schwarzschild-de Sitter spacetime into a metric describing de Sitter spacetime plus a shock-wave singularity located on a null hypersurface. This paper evaluates the Riemann curvature tensor of the boosted Schwarzschild-de Sitter metric by means of numerical calculations, which make it possible to reach the ultrarelativistic regime gradually by letting the boost velocity approach the speed of light. Thus, for the first time in the literature, the singular limit of curvature through Dirac's delta distribution and its derivatives is numerically evaluated for this class of spacetimes. Eventually, the analysis of the Kretschmann invariant and the geodesic equation show that the spacetime possesses a scalar curvature singularity within a 3-sphere and it is possible to define what we here call boosted horizon, a sort of elastic wall where all particles are surprisingly pushed away, as numerical analysis demonstrates. This seems to suggest that boosted geometries are ruled by a sort of antigravity effect since all geodesics seem to refuse to enter the boosted horizon, even though their initial conditions are aimed at driving the particles towards the boosted horizon. |
2308.13398 | Horatiu Stefan Nastase | Matheus Cravo and Horatiu Nastase | 3-point function of currents for holographic cosmology and monopole
non-Gaussianities | 29 pages+Appendices; references and explanations, including an
Appendix (C), added | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we present the calculation of the three-point function in
momentum space of currents for a $SO(3)$ global symmetry, in a
three-dimensional toy model within phenomenological holographic cosmology.
Since the two-point function gives, via electric-magnetic duality, the
resolution of the cosmological monopole problem, the three-point function is
related to the monopole non-Gaussianities. We check that the final result is UV
and IR finite and satisfies the transverse Ward identities and consider the
$k_1\ll k_2,k_3$ case, relevant for cosmology. We also show that the two-loop
result for the 3-point function is completely independent of the explicit form
of the potential, meaning that, like the solution to the monopole problem, also
the non-Gaussianities are universal within the phenomenological holographic
cosmology.
| [
{
"created": "Fri, 25 Aug 2023 14:21:00 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Mar 2024 14:44:12 GMT",
"version": "v2"
},
{
"created": "Mon, 1 Apr 2024 19:42:50 GMT",
"version": "v3"
}
] | 2024-04-03 | [
[
"Cravo",
"Matheus",
""
],
[
"Nastase",
"Horatiu",
""
]
] | In this paper we present the calculation of the three-point function in momentum space of currents for a $SO(3)$ global symmetry, in a three-dimensional toy model within phenomenological holographic cosmology. Since the two-point function gives, via electric-magnetic duality, the resolution of the cosmological monopole problem, the three-point function is related to the monopole non-Gaussianities. We check that the final result is UV and IR finite and satisfies the transverse Ward identities and consider the $k_1\ll k_2,k_3$ case, relevant for cosmology. We also show that the two-loop result for the 3-point function is completely independent of the explicit form of the potential, meaning that, like the solution to the monopole problem, also the non-Gaussianities are universal within the phenomenological holographic cosmology. |
hep-th/9501001 | Fuad Saradzhev | Fuad Saradzhev | Anomaly and Exotic Statistics in One Dimension | LATEX file, 38 pages | null | 10.1007/3-540-59163-X_299 | TUBITAK preprint MRC--PH--TH.16--94, 1994. | hep-th | null | We study the influence of the anomaly on the physical quantum picture of the
chiral Schwinger model (CSM) defined on $S^1$. We show that such phenomena as
the total screening of charges and the dynamical mass generation characteristic
for the standard Schwinger model do not take place here. Instead of them, the
anomaly results in the background linearly rising electric field or,
equivalently, in the exotic statistics of the physical matter field. We
construct the algebra of the Poincare generators and show that it differs from
the Poincare one. For the CSM on $R^1$, the anomaly influences only the mass
generation mechanism.
| [
{
"created": "Mon, 2 Jan 1995 12:42:25 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Saradzhev",
"Fuad",
""
]
] | We study the influence of the anomaly on the physical quantum picture of the chiral Schwinger model (CSM) defined on $S^1$. We show that such phenomena as the total screening of charges and the dynamical mass generation characteristic for the standard Schwinger model do not take place here. Instead of them, the anomaly results in the background linearly rising electric field or, equivalently, in the exotic statistics of the physical matter field. We construct the algebra of the Poincare generators and show that it differs from the Poincare one. For the CSM on $R^1$, the anomaly influences only the mass generation mechanism. |
1208.0348 | Idrish Huet | Julieta Medina, Idrish Huet, Denjoe O'Connor and Brian P. Dolan | Scalar and Spinor Field Actions on Fuzzy $S^4$: fuzzy $CP^3$ as a
$S^2_F$ bundle over $S^4_F$ | 19 pages | null | 10.1007/JHEP08(2012)070 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a manifestly Spin(5) invariant construction of squashed fuzzy
$CP^3$ as a fuzzy $S^2$ bundle over fuzzy $S^4$. We develop the necessary
projectors and exhibit the squashing in terms of the radii of the $S^2$ and
$S^4$. Our analysis allows us give both scalar and spinor fuzzy action
functionals whose low lying modes are truncated versions of those of a
commutative $S^4$.
| [
{
"created": "Wed, 1 Aug 2012 20:04:02 GMT",
"version": "v1"
}
] | 2015-06-11 | [
[
"Medina",
"Julieta",
""
],
[
"Huet",
"Idrish",
""
],
[
"O'Connor",
"Denjoe",
""
],
[
"Dolan",
"Brian P.",
""
]
] | We present a manifestly Spin(5) invariant construction of squashed fuzzy $CP^3$ as a fuzzy $S^2$ bundle over fuzzy $S^4$. We develop the necessary projectors and exhibit the squashing in terms of the radii of the $S^2$ and $S^4$. Our analysis allows us give both scalar and spinor fuzzy action functionals whose low lying modes are truncated versions of those of a commutative $S^4$. |
1710.08021 | Lorenzo Casarin | Lorenzo Casarin | On higher-derivative gauge theories | Based on the thesis prepared as final dissertation for the MSc degree
in Physics at the University of Padova. 68 pages; added reference in 1.4 | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we study the main properties and the one-loop renormalization of
a Yang-Mills theory in which the kinetic term contains also a fourth-order
differential operator; in particular, we add to the Yang-Mills Lagrangian the
most general contribution of mass dimension six, weighted with a dimensionful
parameter. This model is renormalizable; in the literature two values for the
beta function for the gauge coupling have been reported, one obtained using the
heat kernel approach and one with Feynman diagrams. In this work we repeat the
computation using heat kernel techniques confirming the latter result. We also
considered coupling with matter.
We then study the supersymmetric extension of the model; this is a nontrivial
task because of the complicate structure of the higher-derivative term. Some
partial results were known, but a computation of the beta functions for the
full supersymmetric non-Abelian higher-derivative gauge theory was missing. We
make use of the (unextended) supersymmetric higher-derivative Lagrangian
density for the Yang-Mills field in six spacetime dimensions derived in
arXiv:hep-th/0505082; by dimensional reduction we obtain the N=1 and N=2
supersymmetric higher-derivative super-Yang-Mills Lagrangian in four spacetime
dimensions, whose beta function we evaluate using heat kernels. We also deduce
the beta function for N=4 supersymmetry.
| [
{
"created": "Sun, 22 Oct 2017 21:57:26 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Nov 2017 18:29:03 GMT",
"version": "v2"
}
] | 2017-11-13 | [
[
"Casarin",
"Lorenzo",
""
]
] | In this work we study the main properties and the one-loop renormalization of a Yang-Mills theory in which the kinetic term contains also a fourth-order differential operator; in particular, we add to the Yang-Mills Lagrangian the most general contribution of mass dimension six, weighted with a dimensionful parameter. This model is renormalizable; in the literature two values for the beta function for the gauge coupling have been reported, one obtained using the heat kernel approach and one with Feynman diagrams. In this work we repeat the computation using heat kernel techniques confirming the latter result. We also considered coupling with matter. We then study the supersymmetric extension of the model; this is a nontrivial task because of the complicate structure of the higher-derivative term. Some partial results were known, but a computation of the beta functions for the full supersymmetric non-Abelian higher-derivative gauge theory was missing. We make use of the (unextended) supersymmetric higher-derivative Lagrangian density for the Yang-Mills field in six spacetime dimensions derived in arXiv:hep-th/0505082; by dimensional reduction we obtain the N=1 and N=2 supersymmetric higher-derivative super-Yang-Mills Lagrangian in four spacetime dimensions, whose beta function we evaluate using heat kernels. We also deduce the beta function for N=4 supersymmetry. |
2405.08769 | Miok Park | Young-Hwan Hyun, Boris Latosh, and Miok Park | Scalar Field Perturbation of Hairy Black Holes in EsGB theory | 36 pages, 15 figures, 8 tables | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate scalar field perturbations of the hairy black holes involved
with spontaneous symmetry breaking of the global U(1) symmetry in
Einstein-scalar-Gauss-Bonnet theory for asymptotically flat spacetimes. We
consider the mechanism that black holes without hairs become unstable at the
critical point of the coupling constant and undergo a phase transition to hairy
black holes in the symmetry-broken phase driven by spontaneous symmetry
breaking. This transition occurs near the black hole horizon due to the
diminishing influence of the Gauss-Bonnet term at infinity. To examine such
process, we introduce a scalar field perturbation on the newly formed
background spacetime. We solve the linearized perturbation equation using
Green's function method. We begin by solving the Green's function,
incorporating the branch cut contribution. This allows us to analytically
investigate the late-time behavior of the perturbation at both spatial and null
infinity. We found that the late-time behavior only differs from the
Schwarzschild black hole by a mass term. We then proceed to calculate the
quasinormal modes (QNMs) numerically, which arise from the presence of poles in
the Green's function. Our primary interest lies in utilizing QNMs to
investigate the stability of the black hole solutions both the symmetric and
symmetry-broken phases. Consistent with the prior study, our analysis shows
that hairy black holes in the symmetric phase become unstable when the
quadratic coupling constant exceeds a critical value for a fixed value of the
quartic coupling constant. In contrast, hairy black holes in the
symmetry-broken phase are always stable at the critical value. These numerical
results provide strong evidence for a dynamical process that unstable black
holes without hairs transition into stable hairy black holes in the
symmetry-broken phase through the spontaneous symmetry breaking.
| [
{
"created": "Tue, 14 May 2024 17:02:10 GMT",
"version": "v1"
}
] | 2024-05-15 | [
[
"Hyun",
"Young-Hwan",
""
],
[
"Latosh",
"Boris",
""
],
[
"Park",
"Miok",
""
]
] | We investigate scalar field perturbations of the hairy black holes involved with spontaneous symmetry breaking of the global U(1) symmetry in Einstein-scalar-Gauss-Bonnet theory for asymptotically flat spacetimes. We consider the mechanism that black holes without hairs become unstable at the critical point of the coupling constant and undergo a phase transition to hairy black holes in the symmetry-broken phase driven by spontaneous symmetry breaking. This transition occurs near the black hole horizon due to the diminishing influence of the Gauss-Bonnet term at infinity. To examine such process, we introduce a scalar field perturbation on the newly formed background spacetime. We solve the linearized perturbation equation using Green's function method. We begin by solving the Green's function, incorporating the branch cut contribution. This allows us to analytically investigate the late-time behavior of the perturbation at both spatial and null infinity. We found that the late-time behavior only differs from the Schwarzschild black hole by a mass term. We then proceed to calculate the quasinormal modes (QNMs) numerically, which arise from the presence of poles in the Green's function. Our primary interest lies in utilizing QNMs to investigate the stability of the black hole solutions both the symmetric and symmetry-broken phases. Consistent with the prior study, our analysis shows that hairy black holes in the symmetric phase become unstable when the quadratic coupling constant exceeds a critical value for a fixed value of the quartic coupling constant. In contrast, hairy black holes in the symmetry-broken phase are always stable at the critical value. These numerical results provide strong evidence for a dynamical process that unstable black holes without hairs transition into stable hairy black holes in the symmetry-broken phase through the spontaneous symmetry breaking. |
1911.11603 | Andreas Blommaert | Andreas Blommaert, Thomas G. Mertens, Henri Verschelde | Eigenbranes in Jackiw-Teitelboim gravity | 25 pages + appendices; v2: matches published version | JHEP 2102 (2021) 168 | 10.1007/JHEP02(2021)168 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It was proven recently that JT gravity can be defined as an ensemble of L x L
Hermitian matrices. We point out that the eigenvalues of the matrix correspond
in JT gravity to FZZT-type boundaries on which spacetimes can end. We then
investigate an ensemble of matrices with 1<<N<<L eigenvalues held fixed. This
corresponds to a version of JT gravity which includes N FZZT type boundaries in
the path integral contour and which is found to emulate a discrete quantum
chaotic system. In particular this version of JT gravity can capture the
behavior of finite-volume holographic correlators at late times, including
erratic oscillations.
| [
{
"created": "Tue, 26 Nov 2019 15:03:40 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Apr 2021 16:17:51 GMT",
"version": "v2"
}
] | 2021-04-13 | [
[
"Blommaert",
"Andreas",
""
],
[
"Mertens",
"Thomas G.",
""
],
[
"Verschelde",
"Henri",
""
]
] | It was proven recently that JT gravity can be defined as an ensemble of L x L Hermitian matrices. We point out that the eigenvalues of the matrix correspond in JT gravity to FZZT-type boundaries on which spacetimes can end. We then investigate an ensemble of matrices with 1<<N<<L eigenvalues held fixed. This corresponds to a version of JT gravity which includes N FZZT type boundaries in the path integral contour and which is found to emulate a discrete quantum chaotic system. In particular this version of JT gravity can capture the behavior of finite-volume holographic correlators at late times, including erratic oscillations. |
1901.03540 | Jan Manschot | Georgios Korpas, Jan Manschot, Gregory W. Moore and Iurii Nidaiev | Renormalization and BRST symmetry in Donaldson-Witten theory | 32 pages + appendices, 2 figures; v2: minor changes, v3: corrected
numerical value of 1-loop amplitude | null | 10.1007/s00023-019-00835-x | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The presence of a BRST symmetry in topologically twisted gauge theories makes
a precise analysis of these theories feasible. While the global BRST symmetry
suggests that correlation functions of BRST exact observables vanish, this
decoupling might be obstructed due to a contribution from the boundary of field
space. Motivated by divergent BRST exact observables on the Coulomb branch of
Donaldson-Witten theory, we put forward a new prescription for the
renormalization of correlation functions on the Coulomb branch. This
renormalization is based on the relation between Coulomb branch integrals and
integrals over a modular fundamental domain, and establishes that BRST exact
observables indeed decouple in Donaldson-Witten theory.
| [
{
"created": "Fri, 11 Jan 2019 10:23:54 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Aug 2019 08:14:22 GMT",
"version": "v2"
},
{
"created": "Mon, 20 Mar 2023 12:10:40 GMT",
"version": "v3"
}
] | 2023-03-21 | [
[
"Korpas",
"Georgios",
""
],
[
"Manschot",
"Jan",
""
],
[
"Moore",
"Gregory W.",
""
],
[
"Nidaiev",
"Iurii",
""
]
] | The presence of a BRST symmetry in topologically twisted gauge theories makes a precise analysis of these theories feasible. While the global BRST symmetry suggests that correlation functions of BRST exact observables vanish, this decoupling might be obstructed due to a contribution from the boundary of field space. Motivated by divergent BRST exact observables on the Coulomb branch of Donaldson-Witten theory, we put forward a new prescription for the renormalization of correlation functions on the Coulomb branch. This renormalization is based on the relation between Coulomb branch integrals and integrals over a modular fundamental domain, and establishes that BRST exact observables indeed decouple in Donaldson-Witten theory. |
1702.06796 | Ali Naseh | Mohsen Alishahiha, Amin Faraji Astaneh, Ali Naseh, M.H. Vahidinia | On Complexity for Higher Derivative Gravities | 18 pages, 3 figures, journal version | JHEP05(2017)009 | 10.1007/JHEP05(2017)009 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using "complexity=action" proposal we study complexity growth of certain
gravitational theories containing higher derivative terms. These include
critical gravity in diverse dimensions. One observes that the complexity growth
for neutral black holes saturates the proposed bound when the results are
written in terms of physical quantities of the model. We will also study
effects of shock wave to the complexity growth where we find that the presence
of massive spin-2 mode slows down the rate of growth.
| [
{
"created": "Wed, 22 Feb 2017 13:51:36 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Mar 2017 13:43:11 GMT",
"version": "v2"
},
{
"created": "Mon, 29 May 2017 09:43:16 GMT",
"version": "v3"
}
] | 2017-05-30 | [
[
"Alishahiha",
"Mohsen",
""
],
[
"Astaneh",
"Amin Faraji",
""
],
[
"Naseh",
"Ali",
""
],
[
"Vahidinia",
"M. H.",
""
]
] | Using "complexity=action" proposal we study complexity growth of certain gravitational theories containing higher derivative terms. These include critical gravity in diverse dimensions. One observes that the complexity growth for neutral black holes saturates the proposed bound when the results are written in terms of physical quantities of the model. We will also study effects of shock wave to the complexity growth where we find that the presence of massive spin-2 mode slows down the rate of growth. |
1202.0009 | Oswaldo Monteiro Del Cima | O. M. Del Cima, J. M. Fonseca, D. H. T. Franco, A. H. Gomes, O. Piguet | All orders renormalizability of a Lorentz and CPT violating quantum
electrodynamics | 7 pages | null | 10.1103/PhysRevD.85.065023 | null | hep-th hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Renormalizability of the (minimal) single-fermion QED extension is
investigated at all orders of perturbation theory in the framework of algebraic
renormalization, a regularization-independent method. Relative to the standard
QED, new structures that could lead to gauge anomalies are identified.
Nevertheless, even if the anomaly coefficients fail to vanish in the general
case, they shall be absent provided we require invariance of the action under C
and/or PT transformations. Stability is also verified in this case, hence full
renormalizability is attained.
| [
{
"created": "Tue, 31 Jan 2012 21:00:03 GMT",
"version": "v1"
}
] | 2015-06-04 | [
[
"Del Cima",
"O. M.",
""
],
[
"Fonseca",
"J. M.",
""
],
[
"Franco",
"D. H. T.",
""
],
[
"Gomes",
"A. H.",
""
],
[
"Piguet",
"O.",
""
]
] | Renormalizability of the (minimal) single-fermion QED extension is investigated at all orders of perturbation theory in the framework of algebraic renormalization, a regularization-independent method. Relative to the standard QED, new structures that could lead to gauge anomalies are identified. Nevertheless, even if the anomaly coefficients fail to vanish in the general case, they shall be absent provided we require invariance of the action under C and/or PT transformations. Stability is also verified in this case, hence full renormalizability is attained. |
2106.03715 | Malcolm Perry | Malcolm J. Perry | No Future in Black Holes | 5 pages | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | The black hole information paradox has been with us for some time. We outline
the nature of the paradox. We then propose a resolution based on an examination
of the properties of quantum gravity under circumstances that give rise to a
classical singularity. We show that the gravitational wavefunction vanishes as
one gets close to the classical singularity. This results in a future boundary
condition inside the black hole that allows for quantum information to be
recovered in the evaporation process.
| [
{
"created": "Mon, 7 Jun 2021 15:26:30 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Jun 2021 13:44:06 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Sep 2022 13:20:21 GMT",
"version": "v3"
}
] | 2022-09-07 | [
[
"Perry",
"Malcolm J.",
""
]
] | The black hole information paradox has been with us for some time. We outline the nature of the paradox. We then propose a resolution based on an examination of the properties of quantum gravity under circumstances that give rise to a classical singularity. We show that the gravitational wavefunction vanishes as one gets close to the classical singularity. This results in a future boundary condition inside the black hole that allows for quantum information to be recovered in the evaporation process. |
2303.07436 | \'Alvaro \'Alvarez-Dom\'inguez | \'Alvaro \'Alvarez-Dom\'inguez, Jos\'e A. R. Cembranos, Luis J. Garay,
Mercedes Mart\'in-Benito, \'Alvaro Parra-L\'opez and Jose M. S\'anchez
Vel\'azquez | Operational realization of quantum vacuum ambiguities | 6 pages, 3 figures | Phys. Rev. D 108, 065008 (2023) | 10.1103/PhysRevD.108.065008 | IPARCOS-UCM-23-019 | hep-th gr-qc hep-ph | http://creativecommons.org/licenses/by/4.0/ | We provide a reinterpretation of the quantum vacuum ambiguities that one
encounters when studying particle creation phenomena due to an external and
time-dependent agent. We propose a measurement-motivated understanding: Each
way of measuring the number of created particles selects a particular vacuum.
This point of view gives a clear and physical meaning to the time evolution of
the number of particles produced by the agent as the counts in a specific
detector and, at the same time relates commonly used quantization prescriptions
to particular measurement setups.
| [
{
"created": "Mon, 13 Mar 2023 19:29:57 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Sep 2023 14:46:24 GMT",
"version": "v2"
}
] | 2023-09-15 | [
[
"Álvarez-Domínguez",
"Álvaro",
""
],
[
"Cembranos",
"José A. R.",
""
],
[
"Garay",
"Luis J.",
""
],
[
"Martín-Benito",
"Mercedes",
""
],
[
"Parra-López",
"Álvaro",
""
],
[
"Velázquez",
"Jose M. Sánchez",
""
]
] | We provide a reinterpretation of the quantum vacuum ambiguities that one encounters when studying particle creation phenomena due to an external and time-dependent agent. We propose a measurement-motivated understanding: Each way of measuring the number of created particles selects a particular vacuum. This point of view gives a clear and physical meaning to the time evolution of the number of particles produced by the agent as the counts in a specific detector and, at the same time relates commonly used quantization prescriptions to particular measurement setups. |
2007.05968 | Alexander S. Glasser | Alexander S. Glasser and Hong Qin | $\mathbb{1}$-Loop Theory | 10 pages, 3 figures | null | null | null | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A new formalism for lattice gauge theory is developed that preserves
Poincar\'e symmetry in a discrete universe. We define the $\mathbb{1}$-loop, a
generalization of the Wilson loop that reformulates classical differential
equations of motion as identity-valued multiplicative loops of Lie group
elements of the form ${[g_1\cdots g_n]=\mathbb{1}}$. A lattice Poincar\'e gauge
theory of gravity is thus derived that employs a novel matter field
construction and recovers Einstein's vacuum equations in the appropriate limit.
| [
{
"created": "Sun, 12 Jul 2020 11:59:54 GMT",
"version": "v1"
}
] | 2020-07-15 | [
[
"Glasser",
"Alexander S.",
""
],
[
"Qin",
"Hong",
""
]
] | A new formalism for lattice gauge theory is developed that preserves Poincar\'e symmetry in a discrete universe. We define the $\mathbb{1}$-loop, a generalization of the Wilson loop that reformulates classical differential equations of motion as identity-valued multiplicative loops of Lie group elements of the form ${[g_1\cdots g_n]=\mathbb{1}}$. A lattice Poincar\'e gauge theory of gravity is thus derived that employs a novel matter field construction and recovers Einstein's vacuum equations in the appropriate limit. |
0809.4253 | Murad Alim | M. Alim, J.D. Laenge, P. Mayr | Global Properties of Topological String Amplitudes and Orbifold
Invariants | 34 pages, 3 figures | JHEP 1003:113,2010 | 10.1007/JHEP03(2010)113 | LMU-ASC 49/08 | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive topological string amplitudes on local Calabi-Yau manifolds in
terms of polynomials in finitely many generators of special functions. These
objects are defined globally in the moduli space and lead to a description of
mirror symmetry at any point in the moduli space. Holomorphic ambiguities of
the anomaly equations are fixed by global information obtained from boundary
conditions at few special divisors in the moduli space. As an illustration we
compute higher genus orbifold Gromov-Witten invariants for C^3/Z_3 and C^3/Z_4.
| [
{
"created": "Wed, 24 Sep 2008 19:32:10 GMT",
"version": "v1"
}
] | 2011-02-25 | [
[
"Alim",
"M.",
""
],
[
"Laenge",
"J. D.",
""
],
[
"Mayr",
"P.",
""
]
] | We derive topological string amplitudes on local Calabi-Yau manifolds in terms of polynomials in finitely many generators of special functions. These objects are defined globally in the moduli space and lead to a description of mirror symmetry at any point in the moduli space. Holomorphic ambiguities of the anomaly equations are fixed by global information obtained from boundary conditions at few special divisors in the moduli space. As an illustration we compute higher genus orbifold Gromov-Witten invariants for C^3/Z_3 and C^3/Z_4. |
hep-th/9601157 | null | A. Chakrabarti and D.H. Tchrakian | Spherically Symmetric Istantons of the Scale Invariant SU(2) Gauged
Grassmannian Model in d=4 | 12 pages, LaTeX | Phys.Lett.B376:59-64,1996 | 10.1016/0370-2693(96)00267-5 | null | hep-th | null | (Anti)self-dual solutions of the scale invariant SU(2) gauged Grassmanian
model are sought. A stronger (anti)selfduality condition for this system is
defined, referred to as strong self-duality, and spherically symmetric
solutions of this {\it strong} (anti)self-duality equations are found in closed
form. It is verified that these are the only solutions of the strong
(anti)self-duality equations. The usual (anti)self-duality equations for the
axially symmetric fields are derived and seen to be not overdetermined.
| [
{
"created": "Tue, 30 Jan 1996 11:34:24 GMT",
"version": "v1"
}
] | 2010-11-19 | [
[
"Chakrabarti",
"A.",
""
],
[
"Tchrakian",
"D. H.",
""
]
] | (Anti)self-dual solutions of the scale invariant SU(2) gauged Grassmanian model are sought. A stronger (anti)selfduality condition for this system is defined, referred to as strong self-duality, and spherically symmetric solutions of this {\it strong} (anti)self-duality equations are found in closed form. It is verified that these are the only solutions of the strong (anti)self-duality equations. The usual (anti)self-duality equations for the axially symmetric fields are derived and seen to be not overdetermined. |
2308.14176 | Dimitrios Kosmopoulos | Zvi Bern, Dimitrios Kosmopoulos, Andres Luna, Radu Roiban, Trevor
Scheopner, Fei Teng and Justin Vines | Quantum Field Theory, Worldline Theory, and Spin Magnitude Change in
Orbital Evolution | 96 pages, 3 figures | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | A previous paper~\cite{Bern:2022kto} identified a puzzle stemming from the
amplitudes-based approach to spinning bodies in general relativity: additional
Wilson coefficients appear compared to current worldline approaches to
conservative dynamics of generic astrophysical objects, including neutron
stars. In this paper we clarify the nature of analogous Wilson coefficients in
the simpler theory of electrodynamics. We analyze the original field-theory
construction, identifying definite-spin states some of which have negative
norms, and relating the additional Wilson coefficients in the classical theory
to transitions between different quantum spin states. We produce a new version
of the theory which also has additional Wilson coefficients, but no
negative-norm states. We match, through $\mathcal O(\alpha^2)$ and $\mathcal
O(S^2)$, the Compton amplitudes of these field theories with those of a
modified worldline theory with extra degrees of freedom introduced by releasing
the spin supplementary condition. We build an effective two-body Hamiltonian
that matches the impulse and spin kick of the modified field theory and of the
worldline theory, displaying additional Wilson coefficients compared to
standard worldline approaches. The results are then compactly expressed in
terms of an eikonal formula. Our key conclusion is that, contrary to standard
approaches, while the magnitude of the spin tensor is still conserved, the
magnitude of the spin vector can change under conserved Hamiltonian dynamics
and this change is governed by the additional Wilson coefficients. For specific
values of Wilson coefficients the results are equivalent to those from a
definite spin obeying the spin supplementary condition, but for generic values
they are physically inequivalent. These results warrant detailed studies of the
corresponding issues in general relativity.
| [
{
"created": "Sun, 27 Aug 2023 18:38:16 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Sep 2023 10:36:26 GMT",
"version": "v2"
},
{
"created": "Fri, 1 Mar 2024 19:27:01 GMT",
"version": "v3"
}
] | 2024-03-05 | [
[
"Bern",
"Zvi",
""
],
[
"Kosmopoulos",
"Dimitrios",
""
],
[
"Luna",
"Andres",
""
],
[
"Roiban",
"Radu",
""
],
[
"Scheopner",
"Trevor",
""
],
[
"Teng",
"Fei",
""
],
[
"Vines",
"Justin",
""
]
] | A previous paper~\cite{Bern:2022kto} identified a puzzle stemming from the amplitudes-based approach to spinning bodies in general relativity: additional Wilson coefficients appear compared to current worldline approaches to conservative dynamics of generic astrophysical objects, including neutron stars. In this paper we clarify the nature of analogous Wilson coefficients in the simpler theory of electrodynamics. We analyze the original field-theory construction, identifying definite-spin states some of which have negative norms, and relating the additional Wilson coefficients in the classical theory to transitions between different quantum spin states. We produce a new version of the theory which also has additional Wilson coefficients, but no negative-norm states. We match, through $\mathcal O(\alpha^2)$ and $\mathcal O(S^2)$, the Compton amplitudes of these field theories with those of a modified worldline theory with extra degrees of freedom introduced by releasing the spin supplementary condition. We build an effective two-body Hamiltonian that matches the impulse and spin kick of the modified field theory and of the worldline theory, displaying additional Wilson coefficients compared to standard worldline approaches. The results are then compactly expressed in terms of an eikonal formula. Our key conclusion is that, contrary to standard approaches, while the magnitude of the spin tensor is still conserved, the magnitude of the spin vector can change under conserved Hamiltonian dynamics and this change is governed by the additional Wilson coefficients. For specific values of Wilson coefficients the results are equivalent to those from a definite spin obeying the spin supplementary condition, but for generic values they are physically inequivalent. These results warrant detailed studies of the corresponding issues in general relativity. |
hep-th/0405075 | Maro Cvitan | M. Cvitan, S. Pallua, P. Prester | Microscopic interpretation of black hole entropy | 15 pages, based on a lecture given by S. Pallua, to be published in
Particle Physics and the Universe, Proceedings of the 9th Adriatic Meeting,
eds. J. Trampetic and J. Wess (Springer-Verlag, 2004); v2: typos corrected,
references added | SpringerProc.Phys.98:125-138,2005 | 10.1007/3-540-26798-0_11 | ZTF 04-02 | hep-th | null | It is shown, using conformal symmetry methods, that one can obtain
microscopic interpretation of black hole entropy for general class of higher
curvature Lagrangians.
| [
{
"created": "Mon, 10 May 2004 10:44:01 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Jun 2004 14:44:21 GMT",
"version": "v2"
}
] | 2015-06-26 | [
[
"Cvitan",
"M.",
""
],
[
"Pallua",
"S.",
""
],
[
"Prester",
"P.",
""
]
] | It is shown, using conformal symmetry methods, that one can obtain microscopic interpretation of black hole entropy for general class of higher curvature Lagrangians. |
hep-th/0504095 | Silvio Paolo Sorella | R.F. Sobreiro and S.P. Sorella | Introduction to the Gribov Ambiguities In Euclidean Yang-Mills Theories | Lectures given by S.P. Sorella at the 13th Jorge Andre Swieca Summer
School on Particles and Fields, Campos de Jordao, Brazil, 9-22 January, 2005 | null | null | null | hep-th | null | An elementary introduction to the Gribov ambiguities and their consequences
on the infrared behavior of Euclidean Yang-Mills theories is presented.
| [
{
"created": "Mon, 11 Apr 2005 22:17:12 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Sobreiro",
"R. F.",
""
],
[
"Sorella",
"S. P.",
""
]
] | An elementary introduction to the Gribov ambiguities and their consequences on the infrared behavior of Euclidean Yang-Mills theories is presented. |
hep-th/0002004 | Calin Iuliu Lazaroiu | C. I. Lazaroiu | Collapsing D-branes in one-parameter models and small/large radius
duality | 34 pages, 12 figures | Nucl.Phys. B605 (2001) 159-191 | 10.1016/S0550-3213(01)00201-2 | CU-TP 967 | hep-th math.AG | null | We finalize the study of collapsing D-branes in one-parameter models by
completing the analysis of the associated hypergeometric hierarchy. This brings
further evidence that the phenomenon of collapsing 6-branes at the mirror of
the `conifold' point in IIA compactifications on one-parameter Calabi-Yau
manifolds is generic. It also completes the reduction of the study of higher
periods in one-parameter models to a few families which display characteristic
behaviour. One of the models we consider displays an exotic form of small-large
radius duality, which is a consequence of an ``accidental'' discrete symmetry
of its moduli space. We discuss the implementation of this symmetry at the
level of the associated type II string compactification and its action on
D-brane states. We also argue that this model admits two special Lagrangian
fibrations and that the symmetry can be understood as their exchange.
| [
{
"created": "Tue, 1 Feb 2000 08:20:11 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Lazaroiu",
"C. I.",
""
]
] | We finalize the study of collapsing D-branes in one-parameter models by completing the analysis of the associated hypergeometric hierarchy. This brings further evidence that the phenomenon of collapsing 6-branes at the mirror of the `conifold' point in IIA compactifications on one-parameter Calabi-Yau manifolds is generic. It also completes the reduction of the study of higher periods in one-parameter models to a few families which display characteristic behaviour. One of the models we consider displays an exotic form of small-large radius duality, which is a consequence of an ``accidental'' discrete symmetry of its moduli space. We discuss the implementation of this symmetry at the level of the associated type II string compactification and its action on D-brane states. We also argue that this model admits two special Lagrangian fibrations and that the symmetry can be understood as their exchange. |
2209.09361 | Mario Neves Junior | M. J. Neves, Patricio Gaete, L. P. R. Ospedal and J. A. Helay\"el-Neto | Considerations on the modified Maxwell electrodynamics in the presence
of an electric and magnetic background | 12 pages, 2 figures, published version in Physical Review D | Phys. Rev. D 107, 075019 (2023) | 10.1103/PhysRevD.107.075019 | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | The properties of the modified Maxwell electrodynamics (ModMax) are
investigated in presence of external and uniform electric and magnetic fields.
We expand the non-linear theory around an electromagnetic background up to
second order in the propagating fields to obtain the permittivity and
permeability tensors, dispersion relations, group velocity and refractive
indices as functions of external fields. The case with perpendicular background
fields is contemplated. The phenomenon of birefringence is discussed and the
fundamental role of the ModMax parameter becomes clear. We calculate the
difference of the refractive indices in terms of this parameter and the
external fields. Finally, we set up a scenario where the axion is present and
compute the interaction energy for the coupled axion-ModMax electrodynamics if
a magnetic background field is considered. This calculation is carried out in
the framework of the gauge-invariant, but path-dependent variables formalism.
Our results show that the interaction energy contains a linear component,
leading to the confinement of static probe charges where the interference
between the ModMax parameter, the axion mass and the axion-photon coupling
constant is pointed out.
| [
{
"created": "Mon, 19 Sep 2022 21:44:05 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Apr 2023 21:41:09 GMT",
"version": "v2"
}
] | 2023-04-20 | [
[
"Neves",
"M. J.",
""
],
[
"Gaete",
"Patricio",
""
],
[
"Ospedal",
"L. P. R.",
""
],
[
"Helayël-Neto",
"J. A.",
""
]
] | The properties of the modified Maxwell electrodynamics (ModMax) are investigated in presence of external and uniform electric and magnetic fields. We expand the non-linear theory around an electromagnetic background up to second order in the propagating fields to obtain the permittivity and permeability tensors, dispersion relations, group velocity and refractive indices as functions of external fields. The case with perpendicular background fields is contemplated. The phenomenon of birefringence is discussed and the fundamental role of the ModMax parameter becomes clear. We calculate the difference of the refractive indices in terms of this parameter and the external fields. Finally, we set up a scenario where the axion is present and compute the interaction energy for the coupled axion-ModMax electrodynamics if a magnetic background field is considered. This calculation is carried out in the framework of the gauge-invariant, but path-dependent variables formalism. Our results show that the interaction energy contains a linear component, leading to the confinement of static probe charges where the interference between the ModMax parameter, the axion mass and the axion-photon coupling constant is pointed out. |
hep-th/9609222 | Stefan Leupold | Stefan Leupold | Feynman rules in radial gauge | 19 pages, RevTeX, 17 ps-figures | null | null | TPR-96-19 | hep-th hep-ph | null | We present a complete set of Feynman rules for non-Abelian gauge fields
obeying the radial (Fock-Schwinger) gauge condition and prove the consistency
with covariant gauge Feynman rules.
| [
{
"created": "Thu, 26 Sep 1996 13:31:53 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Leupold",
"Stefan",
""
]
] | We present a complete set of Feynman rules for non-Abelian gauge fields obeying the radial (Fock-Schwinger) gauge condition and prove the consistency with covariant gauge Feynman rules. |
hep-th/9912286 | Noah Graham | N. Graham | Exact Renormalized One-Loop Quantum Corrections to Energies of Solitonic
Field Configurations | M.I.T. Ph.D thesis; 72 pages, uses mitthesis.sty; v2: fixed minor
error in eq (B.22); v3: fixed minor error in eq. (4.57) | null | null | null | hep-th | null | We develop a method for computing exact one-loop quantum corrections to the
energies of static classical backgrounds in renormalizable quantum field
theories. We use a continuum density of states formalism to construct a
regularized Casimir energy in terms of phase shifts and their Born
approximations. This method unambiguously incorporates definite counterterms
fixed in the standard way by physical renormalization conditions. The result is
a robust computation that can be efficiently implemented both numerically and
analytically. We carry out such calculations in models of bosons and fermions
in one and three dimensions.
| [
{
"created": "Fri, 31 Dec 1999 00:20:15 GMT",
"version": "v1"
},
{
"created": "Sat, 19 Feb 2000 16:27:21 GMT",
"version": "v2"
},
{
"created": "Fri, 7 Apr 2000 15:14:13 GMT",
"version": "v3"
}
] | 2009-09-25 | [
[
"Graham",
"N.",
""
]
] | We develop a method for computing exact one-loop quantum corrections to the energies of static classical backgrounds in renormalizable quantum field theories. We use a continuum density of states formalism to construct a regularized Casimir energy in terms of phase shifts and their Born approximations. This method unambiguously incorporates definite counterterms fixed in the standard way by physical renormalization conditions. The result is a robust computation that can be efficiently implemented both numerically and analytically. We carry out such calculations in models of bosons and fermions in one and three dimensions. |
2305.15752 | Roldao da Rocha | R. Casadio, R. da Rocha | Axion stars in MGD background | 31 pages, 14 figures | Eur. Phys. J. C 83 (2023) 537 | 10.1140/epjc/s10052-023-11731-4 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The minimal geometric deformation (MGD) paradigm is here employed to survey
axion stars on fluid branes. The finite value of the brane tension provides
beyond-general relativity corrections to the density, compactness, radius, and
asymptotic limit of the gravitational mass function of axion stars, in a MGD
background. The brane tension also enhances the effective range and magnitude
of the axion field coupled to gravity. MGD axion stars are compatible to
mini-massive compact halo objects for almost all the observational range of
brane tension, however, a narrow range allows MGD axion star densities large
enough to produce stimulated decays of the axion to photons, with no analogy in
the general-relativistic (GR) limit. Besides, the gravitational mass and the
density of MGD axion stars are shown to be up to four orders of magnitude
larger than the GR axion stars, being also less sensitive to tidal disruption
events under collision with neutron stars, for lower values of the fluid brane
tension.
| [
{
"created": "Thu, 25 May 2023 06:02:45 GMT",
"version": "v1"
}
] | 2023-06-28 | [
[
"Casadio",
"R.",
""
],
[
"da Rocha",
"R.",
""
]
] | The minimal geometric deformation (MGD) paradigm is here employed to survey axion stars on fluid branes. The finite value of the brane tension provides beyond-general relativity corrections to the density, compactness, radius, and asymptotic limit of the gravitational mass function of axion stars, in a MGD background. The brane tension also enhances the effective range and magnitude of the axion field coupled to gravity. MGD axion stars are compatible to mini-massive compact halo objects for almost all the observational range of brane tension, however, a narrow range allows MGD axion star densities large enough to produce stimulated decays of the axion to photons, with no analogy in the general-relativistic (GR) limit. Besides, the gravitational mass and the density of MGD axion stars are shown to be up to four orders of magnitude larger than the GR axion stars, being also less sensitive to tidal disruption events under collision with neutron stars, for lower values of the fluid brane tension. |
hep-th/9805085 | Peter Presnajder | H. Grosse, P. Presnajder | A treatment of the Schwinger Model within Noncommutative Geometry | latex, 30 pges | null | null | UWThPh-22-1998 | hep-th | null | A free spinor field on a noncommutative sphere is described starting from a
canonical realization of the enveloping algebra U(u(2|1)). The gauge extension
of the model - the Schwinger model on a noncommutative sphere is defined and
the model is quantized. The model contains only finite number degrees of
freedom and is nonperturbatively UV-regular. The chiral anomaly and the
effective actions are calculated. In the nomcommutative limit standard formulas
are recovered.
| [
{
"created": "Thu, 14 May 1998 11:55:37 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Grosse",
"H.",
""
],
[
"Presnajder",
"P.",
""
]
] | A free spinor field on a noncommutative sphere is described starting from a canonical realization of the enveloping algebra U(u(2|1)). The gauge extension of the model - the Schwinger model on a noncommutative sphere is defined and the model is quantized. The model contains only finite number degrees of freedom and is nonperturbatively UV-regular. The chiral anomaly and the effective actions are calculated. In the nomcommutative limit standard formulas are recovered. |
1502.06596 | Sven Bjarke Gudnason | Sven Bjarke Gudnason, Muneto Nitta | Fractional Skyrmions and their molecules | RevTeX: 36 pages, 20 figures; V2: comments and Fig. 7 added | Phys. Rev. D 91, 085040 (2015) | 10.1103/PhysRevD.91.085040 | NORDITA-2015-24 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a Skyrme-type model with a quadratic potential for a field with
$S^2$ vacua. We consider two flavors of the model, the first is the Skyrme
model and the second has a sixth-order derivative term instead of the Skyrme
term; both with the added quadratic potential. The model contains molecules of
half Skyrmions, each of them is a global (anti-)monopole with baryon number
1/2. We numerically construct solutions with baryon numbers one through six,
and find stable solutions which look like beads on rings. We also construct a
molecule with fractional Skyrmions having the baryon numbers 1/3 + 2/3, by
adding a linear potential term.
| [
{
"created": "Mon, 23 Feb 2015 20:58:20 GMT",
"version": "v1"
},
{
"created": "Sat, 18 Apr 2015 15:05:52 GMT",
"version": "v2"
}
] | 2015-04-30 | [
[
"Gudnason",
"Sven Bjarke",
""
],
[
"Nitta",
"Muneto",
""
]
] | We study a Skyrme-type model with a quadratic potential for a field with $S^2$ vacua. We consider two flavors of the model, the first is the Skyrme model and the second has a sixth-order derivative term instead of the Skyrme term; both with the added quadratic potential. The model contains molecules of half Skyrmions, each of them is a global (anti-)monopole with baryon number 1/2. We numerically construct solutions with baryon numbers one through six, and find stable solutions which look like beads on rings. We also construct a molecule with fractional Skyrmions having the baryon numbers 1/3 + 2/3, by adding a linear potential term. |
2010.09863 | Vladislav Kupriyanov | V. G. Kupriyanov, M. Kurkov, P. Vitale | $k$-Minkowski-deformation of $U(1)$ gauge theory | 18 pages, 2 figures, Comment and two references added | J. High Energ. Phys. 2021, 102 (2021) | 10.1007/JHEP01(2021)102 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a non-commutative kappa-Minkowski deformation of U(1) gauge
theory, following a general approach, recently proposed in JHEP 2008 (2020)
041. We obtain an exact (all orders in the non-commutativity parameter)
expression for both the deformed gauge transformations and the deformed field
strength, which is covariant under these transformations. The corresponding
Yang-Mills Lagrangian is gauge covariant and reproduces the Maxwell Lagrangian
in the commutative limit. Gauge invariance of the action functional requires a
non-trivial integration measure which, in the commutative limit, does not
reduce to the trivial one. We discuss the physical meaning of such a nontrivial
commutative limit, relating it to a nontrivial space-time curvature of the
undeformed theory. Moreover, we propose a rescaled kappa-Minkowski
non-commutative structure, which exhibits a standard flat commutative limit.
| [
{
"created": "Mon, 19 Oct 2020 21:06:03 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Nov 2020 15:14:07 GMT",
"version": "v2"
}
] | 2021-01-21 | [
[
"Kupriyanov",
"V. G.",
""
],
[
"Kurkov",
"M.",
""
],
[
"Vitale",
"P.",
""
]
] | We construct a non-commutative kappa-Minkowski deformation of U(1) gauge theory, following a general approach, recently proposed in JHEP 2008 (2020) 041. We obtain an exact (all orders in the non-commutativity parameter) expression for both the deformed gauge transformations and the deformed field strength, which is covariant under these transformations. The corresponding Yang-Mills Lagrangian is gauge covariant and reproduces the Maxwell Lagrangian in the commutative limit. Gauge invariance of the action functional requires a non-trivial integration measure which, in the commutative limit, does not reduce to the trivial one. We discuss the physical meaning of such a nontrivial commutative limit, relating it to a nontrivial space-time curvature of the undeformed theory. Moreover, we propose a rescaled kappa-Minkowski non-commutative structure, which exhibits a standard flat commutative limit. |
2302.00770 | Kevin Costello | Kevin J. Costello | Bootstrapping two-loop QCD amplitudes | Version 2: several computational errors pointed out by Anthony
Morales have been corrected | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Form factors of self-dual gauge theory are equal to correlators of an
(extended) celestial chiral algebra. This suggests that these form factors can
be computed using the "bootstrap" method familiar from 2d CFTs. The method can
also be applied to certain QCD amplitudes, which are built from form-factors of
self-dual gauge theory.
In this paper this bootstrap method is applied to compute two-loop all-plus
QCD amplitudes, for $SU(N)$ gauge theory with certain special matter conent. A
closed formula is presented for all single-trace amplitudes.
| [
{
"created": "Wed, 1 Feb 2023 21:47:52 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Aug 2023 11:10:44 GMT",
"version": "v2"
}
] | 2023-08-17 | [
[
"Costello",
"Kevin J.",
""
]
] | Form factors of self-dual gauge theory are equal to correlators of an (extended) celestial chiral algebra. This suggests that these form factors can be computed using the "bootstrap" method familiar from 2d CFTs. The method can also be applied to certain QCD amplitudes, which are built from form-factors of self-dual gauge theory. In this paper this bootstrap method is applied to compute two-loop all-plus QCD amplitudes, for $SU(N)$ gauge theory with certain special matter conent. A closed formula is presented for all single-trace amplitudes. |
hep-th/0608193 | Panagiota Kanti | M. Casals, S.R. Dolan, P. Kanti and E. Winstanley | Brane Decay of a (4+n)-Dimensional Rotating Black Hole. III: spin-1/2
particles | Latex file, JHEP style, 34 pages, 16 figures Energy range in plots
increased, minor changes, version published in JHEP | JHEP 0703:019,2007 | 10.1088/1126-6708/2007/03/019 | null | hep-th astro-ph gr-qc hep-ph | null | In this work, we have continued the study of the Hawking radiation on the
brane from a higher-dimensional rotating black hole by investigating the
emission of fermionic modes. A comprehensive analysis is performed that leads
to the particle, power and angular momentum emission rates, and sheds light on
their dependence on fundamental parameters of the theory, such as the spacetime
dimension and angular momentum of the black hole. In addition, the angular
distribution of the emitted modes, in terms of the number of particles and
energy, is thoroughly studied. Our results are valid for arbitrary values of
the energy of the emitted particles, dimension of spacetime and angular
momentum of the black hole, and complement previous results on the emission of
brane-localised scalars and gauge bosons.
| [
{
"created": "Sat, 26 Aug 2006 14:50:06 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Mar 2007 18:05:13 GMT",
"version": "v2"
}
] | 2010-10-27 | [
[
"Casals",
"M.",
""
],
[
"Dolan",
"S. R.",
""
],
[
"Kanti",
"P.",
""
],
[
"Winstanley",
"E.",
""
]
] | In this work, we have continued the study of the Hawking radiation on the brane from a higher-dimensional rotating black hole by investigating the emission of fermionic modes. A comprehensive analysis is performed that leads to the particle, power and angular momentum emission rates, and sheds light on their dependence on fundamental parameters of the theory, such as the spacetime dimension and angular momentum of the black hole. In addition, the angular distribution of the emitted modes, in terms of the number of particles and energy, is thoroughly studied. Our results are valid for arbitrary values of the energy of the emitted particles, dimension of spacetime and angular momentum of the black hole, and complement previous results on the emission of brane-localised scalars and gauge bosons. |
1803.03612 | Diego Trancanelli | Carlos Bercini, Diego Trancanelli | Supersymmetric integrable theories from no particle production | 14 pages, 9 figures; v2: minor changes, reference added | Phys. Rev. D 97, 105013 (2018) | 10.1103/PhysRevD.97.105013 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a theory of scalar superfields in two dimensions with arbitrary
superpotential. By imposing no particle production in tree level scattering, we
constrain the form of the admissible interactions, recovering a supersymmetric
extension of the sinh-Gordon model.
| [
{
"created": "Fri, 9 Mar 2018 17:39:45 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Apr 2018 22:14:07 GMT",
"version": "v2"
}
] | 2018-05-23 | [
[
"Bercini",
"Carlos",
""
],
[
"Trancanelli",
"Diego",
""
]
] | We consider a theory of scalar superfields in two dimensions with arbitrary superpotential. By imposing no particle production in tree level scattering, we constrain the form of the admissible interactions, recovering a supersymmetric extension of the sinh-Gordon model. |
1504.07627 | Netta Engelhardt | Raphael Bousso and Netta Engelhardt | A New Area Law in General Relativity | 4 pages, 2 figures; v3: typos fixed | Phys. Rev. Lett. 115, 081301 (2015) | 10.1103/PhysRevLett.115.081301 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We report a new area law in General Relativity. A future holographic screen
is a hypersurface foliated by marginally trapped surfaces. We show that their
area increases monotonically along the foliation. Future holographic screens
can easily be found in collapsing stars and near a big crunch. Past holographic
screens exist in any expanding universe and obey a similar theorem, yielding
the first rigorous area law in big bang cosmology. Unlike event horizons, these
objects can be identified at finite time and without reference to an asymptotic
boundary. The Bousso bound is not used, but it naturally suggests a
thermodynamic interpretation of our result.
| [
{
"created": "Tue, 28 Apr 2015 20:00:20 GMT",
"version": "v1"
},
{
"created": "Fri, 8 May 2015 20:07:58 GMT",
"version": "v2"
},
{
"created": "Wed, 20 May 2015 05:46:43 GMT",
"version": "v3"
}
] | 2015-08-26 | [
[
"Bousso",
"Raphael",
""
],
[
"Engelhardt",
"Netta",
""
]
] | We report a new area law in General Relativity. A future holographic screen is a hypersurface foliated by marginally trapped surfaces. We show that their area increases monotonically along the foliation. Future holographic screens can easily be found in collapsing stars and near a big crunch. Past holographic screens exist in any expanding universe and obey a similar theorem, yielding the first rigorous area law in big bang cosmology. Unlike event horizons, these objects can be identified at finite time and without reference to an asymptotic boundary. The Bousso bound is not used, but it naturally suggests a thermodynamic interpretation of our result. |
1312.5732 | Yegor Zenkevich | S. Mironov, An. Morozov, Y. Zenkevich | Generalized Jack polynomials and the AGT relations for the $SU(3)$ group | 6 pages, refs added, typos corrected, published version | JETP Lett. 99 (2014) 115 | 10.1134/S0021364014020076 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We find generalized Jack polynomials for the group $SU(3)$ and verify that
their Selberg averages for several first levels are given by Nekrasov
functions. To compute the averages we derive recurrence relations for the
$sl_3$ Selberg integrals.
| [
{
"created": "Thu, 19 Dec 2013 20:42:07 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Mar 2014 09:00:09 GMT",
"version": "v2"
}
] | 2015-06-18 | [
[
"Mironov",
"S.",
""
],
[
"Morozov",
"An.",
""
],
[
"Zenkevich",
"Y.",
""
]
] | We find generalized Jack polynomials for the group $SU(3)$ and verify that their Selberg averages for several first levels are given by Nekrasov functions. To compute the averages we derive recurrence relations for the $sl_3$ Selberg integrals. |
1402.1725 | Xenia de la Ossa | Xenia de la Ossa and Eirik E. Svanes | Holomorphic Bundles and the Moduli Space of N=1 Supersymmetric Heterotic
Compactifications | Added references; extended section 3 to explain better the moduli
space; corrected various minor errors and typos. 62 pages | JHEP 1410 (2014) 123 | 10.1007/JHEP10(2014)123 | null | hep-th math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe the first order moduli space of heterotic string theory
compactifications which preserve $N=1$ supersymmetry in four dimensions, that
is, the infinitesimal parameter space of the Strominger system. We establish
that if we promote a connection on $TX$ to a field, the moduli space
corresponds to deformations of a holomorphic structure $\bar D$ on a bundle
$\cal Q$. The bundle $\cal Q$ is constructed as an extension by the cotangent
bundle $T^*X$ of the bundle $E= {\rm End}(V) \oplus {\rm End}(TX) \oplus TX$
with an extension class $\cal H$ which precisely enforces the anomaly
cancelation condition. The deformations corresponding to the bundle $E$ are
simultaneous deformations of the holomorphic structures on the poly-stable
bundles $V$ and $TX$ together with those of the complex structure of $X$. We
discuss the fact that the "moduli" corresponding to ${\rm End}(TX)$ cannot be
physical, but are however needed in our mathematical structure to be able to
enforce the anomaly cancelation condition. In the Appendix we comment on the
choice of connection on $TX$ which has caused some confusion in the community
before. It has been shown by Ivanov and others that this connection should also
satisfy the instanton equations, and we give another proof of this fact.
| [
{
"created": "Fri, 7 Feb 2014 18:29:30 GMT",
"version": "v1"
},
{
"created": "Thu, 22 May 2014 16:06:20 GMT",
"version": "v2"
},
{
"created": "Mon, 1 Dec 2014 14:12:25 GMT",
"version": "v3"
}
] | 2014-12-02 | [
[
"de la Ossa",
"Xenia",
""
],
[
"Svanes",
"Eirik E.",
""
]
] | We describe the first order moduli space of heterotic string theory compactifications which preserve $N=1$ supersymmetry in four dimensions, that is, the infinitesimal parameter space of the Strominger system. We establish that if we promote a connection on $TX$ to a field, the moduli space corresponds to deformations of a holomorphic structure $\bar D$ on a bundle $\cal Q$. The bundle $\cal Q$ is constructed as an extension by the cotangent bundle $T^*X$ of the bundle $E= {\rm End}(V) \oplus {\rm End}(TX) \oplus TX$ with an extension class $\cal H$ which precisely enforces the anomaly cancelation condition. The deformations corresponding to the bundle $E$ are simultaneous deformations of the holomorphic structures on the poly-stable bundles $V$ and $TX$ together with those of the complex structure of $X$. We discuss the fact that the "moduli" corresponding to ${\rm End}(TX)$ cannot be physical, but are however needed in our mathematical structure to be able to enforce the anomaly cancelation condition. In the Appendix we comment on the choice of connection on $TX$ which has caused some confusion in the community before. It has been shown by Ivanov and others that this connection should also satisfy the instanton equations, and we give another proof of this fact. |
1201.2802 | Pouria Pedram | Pouria Pedram | Minimal Length and the Quantum Bouncer: A Nonperturbative Study | 14 pages, 2 figures, to appear in Int. J. Theor. Phys | Int. J. Theor. Phys. 51 (2012) 1901-1910 | 10.1007/s10773-011-1066-6 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present the energy eigenvalues of a quantum bouncer in the framework of
the Generalized (Gravitational) Uncertainty Principle (GUP) via quantum
mechanical and semiclassical schemes. In this paper, we use two equivalent
nonperturbative representations of a deformed commutation relation in the form
[X,P]=i\hbar(1+\beta P^2) where \beta is the GUP parameter. The new
representation is formally self-adjoint and preserves the ordinary nature of
the position operator. We show that both representations result in the same
modified semiclassical energy spectrum and agrees well with the quantum
mechanical description.
| [
{
"created": "Fri, 13 Jan 2012 11:00:00 GMT",
"version": "v1"
}
] | 2012-05-18 | [
[
"Pedram",
"Pouria",
""
]
] | We present the energy eigenvalues of a quantum bouncer in the framework of the Generalized (Gravitational) Uncertainty Principle (GUP) via quantum mechanical and semiclassical schemes. In this paper, we use two equivalent nonperturbative representations of a deformed commutation relation in the form [X,P]=i\hbar(1+\beta P^2) where \beta is the GUP parameter. The new representation is formally self-adjoint and preserves the ordinary nature of the position operator. We show that both representations result in the same modified semiclassical energy spectrum and agrees well with the quantum mechanical description. |
2301.07454 | Xiangyu Cao | Xiangyu Cao, Raoul Santachiara, Romain Usciati | On the analytical continuation of lattice Liouville theory | 28 pages, 9 figures; v2: minor changes, accepted version | JHEP (2023) 061 | 10.1007/JHEP03(2023)061 | null | hep-th cond-mat.stat-mech | http://creativecommons.org/licenses/by/4.0/ | The path integral of Liouville theory is well understood only when the
central charge $c\in [25, \infty)$. Here, we study the analytical continuation
the lattice Liouville path integral to generic values of $c$, with a particular
focus on the vicinity of $c\in (-\infty, 1]$. We show that the $c\in [25,
\infty)$ lattice path integral can be continued to one over a new integration
cycle of complex field configurations. We give an explicit formula for the new
integration cycle in terms of a discrete sum over elementary cycles, which are
a direct generalization of the inverse Gamma function contour. Possible
statistical interpretations are discussed. We also compare our approach to one
focused on Lefschetz thimbles, by solving a two-site toy model in detail. As
the parameter equivalent to $c$ varies from $[25, \infty)$ to $(-\infty, 1]$,
we find an infinite number of Stokes walls (where the thimbles undergo
topological rearrangements), accumulating at the destination point $c \in
(-\infty, 1]$, where the thimbles become equivalent to the elementary cycles.
| [
{
"created": "Wed, 18 Jan 2023 11:54:34 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Mar 2023 08:46:35 GMT",
"version": "v2"
}
] | 2023-03-13 | [
[
"Cao",
"Xiangyu",
""
],
[
"Santachiara",
"Raoul",
""
],
[
"Usciati",
"Romain",
""
]
] | The path integral of Liouville theory is well understood only when the central charge $c\in [25, \infty)$. Here, we study the analytical continuation the lattice Liouville path integral to generic values of $c$, with a particular focus on the vicinity of $c\in (-\infty, 1]$. We show that the $c\in [25, \infty)$ lattice path integral can be continued to one over a new integration cycle of complex field configurations. We give an explicit formula for the new integration cycle in terms of a discrete sum over elementary cycles, which are a direct generalization of the inverse Gamma function contour. Possible statistical interpretations are discussed. We also compare our approach to one focused on Lefschetz thimbles, by solving a two-site toy model in detail. As the parameter equivalent to $c$ varies from $[25, \infty)$ to $(-\infty, 1]$, we find an infinite number of Stokes walls (where the thimbles undergo topological rearrangements), accumulating at the destination point $c \in (-\infty, 1]$, where the thimbles become equivalent to the elementary cycles. |
2404.11954 | Mohammad R. Garousi | Mohammad R. Garousi | Odd-Derivative Couplings in Heterotic Theory | 16 pages, Latex file, no figure; v2: It is argued that in the
presence of the Yang-Mills field, one must impose T-duality on the maximal
basis instead of the minimal basis. The results are not changed; v3: The
version appears in PRD | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, our focus is on exploring the gauge-invariant basis for
bosonic couplings within the framework of heterotic string theories,
specifically examining 3-, 5-, and 7-derivative terms. We thoroughly analyze
the invariance of these couplings under T-duality transformations and make a
notable observation: the T-duality constraint enforces the vanishing of these
couplings. We speculate that this result likely holds true for all higher
odd-derivative couplings as well. This is unlike the result in type I
superstring theory, where, for example, the couplings of 5 Yang-Mills field
strengths are non-zero. The vanishing of couplings is consistent with the
$O(d,d+16)$ symmetry of the cosmological reduction of the effective action.
| [
{
"created": "Thu, 18 Apr 2024 07:15:20 GMT",
"version": "v1"
},
{
"created": "Sun, 26 May 2024 07:53:36 GMT",
"version": "v2"
},
{
"created": "Mon, 5 Aug 2024 09:23:23 GMT",
"version": "v3"
}
] | 2024-08-06 | [
[
"Garousi",
"Mohammad R.",
""
]
] | In this paper, our focus is on exploring the gauge-invariant basis for bosonic couplings within the framework of heterotic string theories, specifically examining 3-, 5-, and 7-derivative terms. We thoroughly analyze the invariance of these couplings under T-duality transformations and make a notable observation: the T-duality constraint enforces the vanishing of these couplings. We speculate that this result likely holds true for all higher odd-derivative couplings as well. This is unlike the result in type I superstring theory, where, for example, the couplings of 5 Yang-Mills field strengths are non-zero. The vanishing of couplings is consistent with the $O(d,d+16)$ symmetry of the cosmological reduction of the effective action. |
hep-th/0312015 | Erhard Seiler | Erhard Seiler | The case against asymptotic freedom | 18 pages, 2 figures | null | null | null | hep-th | null | In this talk I give an overview of the work done during the last 15 years in
collaboration with the late Adrian Patrascioiu. In this work we accumulated
evidence against the commonly accepted view that theories with nonabelian
symmetry -- either two dimensional nonlinear $\sigma$ models or four
dimensional Yang-Mills theories -- have the property of asymptotic freedom (AF)
usually ascribed to them.
| [
{
"created": "Mon, 1 Dec 2003 17:02:51 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Seiler",
"Erhard",
""
]
] | In this talk I give an overview of the work done during the last 15 years in collaboration with the late Adrian Patrascioiu. In this work we accumulated evidence against the commonly accepted view that theories with nonabelian symmetry -- either two dimensional nonlinear $\sigma$ models or four dimensional Yang-Mills theories -- have the property of asymptotic freedom (AF) usually ascribed to them. |
0804.1723 | Umpei Miyamoto | Umpei Miyamoto (Hebrew Univ.) | Curvature driven diffusion, Rayleigh-Plateau, and Gregory-Laflamme | 14 pages, 5 figures; v2: references added, typos fixed | Phys.Rev.D78:026001,2008 | 10.1103/PhysRevD.78.026001 | null | hep-th gr-qc math-ph math.MP physics.flu-dyn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It can be expected that the respective endpoints of the Gregory-Laflamme
black brane instability and the Rayleigh-Plateau membrane instability are
related because the bifurcation diagrams of the black hole-black string system
and the liquid drop-liquid bridge system display many similarities. In this
paper, we investigate the non-linear dynamics of the Rayleigh-Plateau
instability in a range of dimensions, including the critical dimension at which
the phase structure changes. We show that near the critical dimension and
above, depending on a parameter in initial conditions an unstable cylinder will
either pinch off or converge to an equilibrium state. The equilibrium state is
apparently non-uniform but has a constant mean curvature everywhere. The
results suggest that in the gravity side, near the critical dimension and
above, the final state of an unstable black string (which is not too long) is a
non-uniform black string. The equation of motion adopted to describe the
dynamics is the surface diffusion equation, which was originally proposed to
describe a grooving process of heated metal surfaces. An interesting
correspondence between the diffusion dynamics and black hole (thermo)dynamics
is discussed.
| [
{
"created": "Thu, 10 Apr 2008 15:06:56 GMT",
"version": "v1"
},
{
"created": "Thu, 29 May 2008 18:44:54 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Miyamoto",
"Umpei",
"",
"Hebrew Univ."
]
] | It can be expected that the respective endpoints of the Gregory-Laflamme black brane instability and the Rayleigh-Plateau membrane instability are related because the bifurcation diagrams of the black hole-black string system and the liquid drop-liquid bridge system display many similarities. In this paper, we investigate the non-linear dynamics of the Rayleigh-Plateau instability in a range of dimensions, including the critical dimension at which the phase structure changes. We show that near the critical dimension and above, depending on a parameter in initial conditions an unstable cylinder will either pinch off or converge to an equilibrium state. The equilibrium state is apparently non-uniform but has a constant mean curvature everywhere. The results suggest that in the gravity side, near the critical dimension and above, the final state of an unstable black string (which is not too long) is a non-uniform black string. The equation of motion adopted to describe the dynamics is the surface diffusion equation, which was originally proposed to describe a grooving process of heated metal surfaces. An interesting correspondence between the diffusion dynamics and black hole (thermo)dynamics is discussed. |
hep-th/9305008 | null | A.A. Bytsenko, E. Elizalde, and S.D. Odintsov | The Renormalization Group and the Effective Potential in a Curved
Spacetime with Torsion | 16 pages, LaTeX file, figures available from the authors | Prog.Theor.Phys.90:677-688,1993 | 10.1143/PTP.90.677 | null | hep-th | null | The renormalization group method is employed to study the effective potential
in curved spacetime with torsion. The renormalization-group improved effective
potential corresponding to a massless gauge theory in such a spacetime is found
and in this way a generalization of Coleman-Weinberg's approach corresponding
to flat space is obtained. A method which works with the renormalization group
equation for two-loop effective potential calculations in torsionful spacetime
is developed. The effective potential for the conformal factor in the conformal
dynamics of quantum gravity with torsion is thereby calculated explicitly.
Finally, torsion-induced phase transitions are discussed.
| [
{
"created": "Tue, 4 May 1993 10:20:14 GMT",
"version": "v1"
}
] | 2009-09-17 | [
[
"Bytsenko",
"A. A.",
""
],
[
"Elizalde",
"E.",
""
],
[
"Odintsov",
"S. D.",
""
]
] | The renormalization group method is employed to study the effective potential in curved spacetime with torsion. The renormalization-group improved effective potential corresponding to a massless gauge theory in such a spacetime is found and in this way a generalization of Coleman-Weinberg's approach corresponding to flat space is obtained. A method which works with the renormalization group equation for two-loop effective potential calculations in torsionful spacetime is developed. The effective potential for the conformal factor in the conformal dynamics of quantum gravity with torsion is thereby calculated explicitly. Finally, torsion-induced phase transitions are discussed. |
1711.05651 | C. S. Shahbazi | C. I. Lazaroiu and C. S. Shahbazi | Section sigma models coupled to symplectic duality bundles on Lorentzian
four-manifolds | 33 pages. Section added on the relation with (twisted) Scherk-Schwarz
reductions | J.Geom.Phys. 128 (2018) 58-86 | 10.1016/j.geomphys.2018.02.003 | null | hep-th math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give the global mathematical formulation of a class of generalized
four-dimensional theories of gravity coupled to scalar matter and to Abelian
gauge fields. In such theories, the scalar fields are described by a section of
a surjective pseudo-Riemannian submersion $\pi$ over space-time, whose total
space carries a Lorentzian metric making the fibers into totally-geodesic
connected Riemannian submanifolds. In particular, $\pi$ is a fiber bundle
endowed with a complete Ehresmann connection whose transport acts through
isometries between the fibers. In turn, the Abelian gauge fields are "twisted"
by a flat symplectic vector bundle defined over the total space of $\pi$. This
vector bundle is endowed with a vertical taming which locally encodes the gauge
couplings and theta angles of the theory and gives rise to the notion of
twisted self-duality, of crucial importance to construct the theory. When the
Ehresmann connection of $\pi$ is integrable, we show that our theories are
locally equivalent to ordinary Einstein-Scalar-Maxwell theories and hence
provide a global non-trivial extension of the universal bosonic sector of
four-dimensional supergravity. In this case, we show using a special
trivializing atlas of $\pi$ that global solutions of such models can be
interpreted as classical "locally-geometric" U-folds. In the non-integrable
case, our theories differ locally from ordinary Einstein-Scalar-Maxwell
theories and may provide a geometric description of classical U-folds which are
"locally non-geometric".
| [
{
"created": "Wed, 15 Nov 2017 16:26:06 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Mar 2018 18:19:15 GMT",
"version": "v2"
}
] | 2018-03-12 | [
[
"Lazaroiu",
"C. I.",
""
],
[
"Shahbazi",
"C. S.",
""
]
] | We give the global mathematical formulation of a class of generalized four-dimensional theories of gravity coupled to scalar matter and to Abelian gauge fields. In such theories, the scalar fields are described by a section of a surjective pseudo-Riemannian submersion $\pi$ over space-time, whose total space carries a Lorentzian metric making the fibers into totally-geodesic connected Riemannian submanifolds. In particular, $\pi$ is a fiber bundle endowed with a complete Ehresmann connection whose transport acts through isometries between the fibers. In turn, the Abelian gauge fields are "twisted" by a flat symplectic vector bundle defined over the total space of $\pi$. This vector bundle is endowed with a vertical taming which locally encodes the gauge couplings and theta angles of the theory and gives rise to the notion of twisted self-duality, of crucial importance to construct the theory. When the Ehresmann connection of $\pi$ is integrable, we show that our theories are locally equivalent to ordinary Einstein-Scalar-Maxwell theories and hence provide a global non-trivial extension of the universal bosonic sector of four-dimensional supergravity. In this case, we show using a special trivializing atlas of $\pi$ that global solutions of such models can be interpreted as classical "locally-geometric" U-folds. In the non-integrable case, our theories differ locally from ordinary Einstein-Scalar-Maxwell theories and may provide a geometric description of classical U-folds which are "locally non-geometric". |
0711.4546 | A. Tureanu | M. Chaichian, M. R. Setare, A. Tureanu, G. Zet | On Black Holes and Cosmological Constant in Noncommutative Gauge Theory
of Gravity | Based on a talk given at the International Conference on Fundamental
and Applied Research in Physics "Farphys 2007", 25-28 October 2007, Iasi,
Romania | JHEP0804:064,2008 | 10.1088/1126-6708/2008/04/064 | null | hep-th gr-qc | null | Deformed Reissner-Nordstr\"om, as well as Reissner-Nordstr\"om de Sitter,
solutions are obtained in a noncommutative gauge theory of gravitation. The
gauge potentials (tetrad fields) and the components of deformed metric are
calculated to second order in the noncommutativity parameter. The solutions
reduce to the deformed Schwarzschild ones when the electric charge of the
gravitational source and the cosmological constant vanish. Corrections to the
thermodynamical quantities of the corresponding black holes and to the radii of
different horizons have been determined. All the independent invariants, such
as the Ricci scalar and the so-called Kretschmann scalar, have the same
singularity structure as the ones of the usual undeformed case and no smearing
of singularities occurs. The possibility of such a smearing is discussed. In
the noncommutative case we have a local disturbance of the geometry around the
source, although asymptotically at large distances it becomes flat.
| [
{
"created": "Wed, 28 Nov 2007 17:48:55 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Chaichian",
"M.",
""
],
[
"Setare",
"M. R.",
""
],
[
"Tureanu",
"A.",
""
],
[
"Zet",
"G.",
""
]
] | Deformed Reissner-Nordstr\"om, as well as Reissner-Nordstr\"om de Sitter, solutions are obtained in a noncommutative gauge theory of gravitation. The gauge potentials (tetrad fields) and the components of deformed metric are calculated to second order in the noncommutativity parameter. The solutions reduce to the deformed Schwarzschild ones when the electric charge of the gravitational source and the cosmological constant vanish. Corrections to the thermodynamical quantities of the corresponding black holes and to the radii of different horizons have been determined. All the independent invariants, such as the Ricci scalar and the so-called Kretschmann scalar, have the same singularity structure as the ones of the usual undeformed case and no smearing of singularities occurs. The possibility of such a smearing is discussed. In the noncommutative case we have a local disturbance of the geometry around the source, although asymptotically at large distances it becomes flat. |
1311.3300 | Hampus Linander | Louise Anderson and Hampus Linander | The trouble with twisting (2,0) theory | 25 pages, v2: Some further clarifications including an extended
discussion on the relation to other topological twistings. References added | null | 10.1007/JHEP03(2014)062 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a twisted version of the abelian $(2,0)$ theory placed upon a
Lorenzian six-manifold with a product structure, $M_6=C \times M_4 $. This is
done by an investigation of the free tensor multiplet on the level of equations
of motion, where the problem of its formulation in Euclidean signature is
circumvented by letting the time-like direction lie in the two-manifold $C$ and
performing a topological twist along $M_4$ alone. A compactification on $C$ is
shown to be necessary to enable the possibility of finding a topological field
theory. The hypothetical twist along a Euclidean $C$ is argued to amount to the
correct choice of linear combination of the two supercharges scalar on $M_4$.
This procedure is expected and conjectured to result in a topological field
theory, but we arrive at the surprising conclusion that this twisted theory
contains no $Q$-exact and covariantly conserved stress tensor unless $M_4$ has
vanishing curvature. This is to our knowledge a phenomenon which has not been
observed before in topological field theories. In the literature, the setup of
the twisting used here has been suggested as the origin of the conjectured
AGT-correspondence, and our hope is that this work may somehow contribute to
the understanding of it.
| [
{
"created": "Wed, 13 Nov 2013 21:00:02 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Jan 2014 13:54:47 GMT",
"version": "v2"
}
] | 2015-06-17 | [
[
"Anderson",
"Louise",
""
],
[
"Linander",
"Hampus",
""
]
] | We consider a twisted version of the abelian $(2,0)$ theory placed upon a Lorenzian six-manifold with a product structure, $M_6=C \times M_4 $. This is done by an investigation of the free tensor multiplet on the level of equations of motion, where the problem of its formulation in Euclidean signature is circumvented by letting the time-like direction lie in the two-manifold $C$ and performing a topological twist along $M_4$ alone. A compactification on $C$ is shown to be necessary to enable the possibility of finding a topological field theory. The hypothetical twist along a Euclidean $C$ is argued to amount to the correct choice of linear combination of the two supercharges scalar on $M_4$. This procedure is expected and conjectured to result in a topological field theory, but we arrive at the surprising conclusion that this twisted theory contains no $Q$-exact and covariantly conserved stress tensor unless $M_4$ has vanishing curvature. This is to our knowledge a phenomenon which has not been observed before in topological field theories. In the literature, the setup of the twisting used here has been suggested as the origin of the conjectured AGT-correspondence, and our hope is that this work may somehow contribute to the understanding of it. |
2306.15475 | Anton Ilderton | Anton Ilderton and William Lindved | Scattering amplitudes and electromagnetic horizons | 28 pages, 2 pdf figures | null | null | null | hep-th gr-qc hep-ph | http://creativecommons.org/licenses/by/4.0/ | We consider the scattering of charged particles on particular electromagnetic
fields which have properties analogous to gravitational horizons. Classically,
particles become causally excluded from regions of spacetime beyond a null
surface which we identify as the `electromagnetic horizon'. In the quantum
theory there is pair production at the horizon via the Schwinger effect, but
only one particle from the pair escapes the field. Furthermore, unitarity
appears to be violated when crossing the horizon, and there is no well-defined
S-matrix. Despite this, we show how to use the perturbiner method to construct
`amplitudes' which contain all the dynamical information required to construct
observables related to pair creation, and to radiation from particles
scattering on the background.
| [
{
"created": "Tue, 27 Jun 2023 13:52:37 GMT",
"version": "v1"
}
] | 2023-06-28 | [
[
"Ilderton",
"Anton",
""
],
[
"Lindved",
"William",
""
]
] | We consider the scattering of charged particles on particular electromagnetic fields which have properties analogous to gravitational horizons. Classically, particles become causally excluded from regions of spacetime beyond a null surface which we identify as the `electromagnetic horizon'. In the quantum theory there is pair production at the horizon via the Schwinger effect, but only one particle from the pair escapes the field. Furthermore, unitarity appears to be violated when crossing the horizon, and there is no well-defined S-matrix. Despite this, we show how to use the perturbiner method to construct `amplitudes' which contain all the dynamical information required to construct observables related to pair creation, and to radiation from particles scattering on the background. |
2110.12005 | Raul Rojas PhD | Dumitru Astefanesei, Paulina Cabrera, Robert B. Mann, and Ra\'ul Rojas | Reentrant phase transitions in Einstein-Maxwell-scalar black holes | 6 pages, 5 figures, v2, this version matches the published one | null | 10.1103/PhysRevD.105.046021 | null | hep-th | http://creativecommons.org/publicdomain/zero/1.0/ | We consider how scalar fields affect the thermodynamic behavior of charged
anti-de Sitter (AdS) black holes. We specifically investigate a class of
(3+1)-dimensional exact hairy charged AdS black hole solutions to
Einstein-Maxwell-scalar gravity, whose stable ground state and finite horizon
area in the zero temperature limit make it of particular interest. We find that
the reverse isoperimetric inequality is satisfied for this class and that there
exists an intermediate range of the charge that admits reentrant phase
behavior, the first example of this type of phase behavior in (3+1) dimensions
in a consistent theory.
| [
{
"created": "Fri, 22 Oct 2021 18:32:27 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Jul 2022 01:35:35 GMT",
"version": "v2"
}
] | 2022-07-07 | [
[
"Astefanesei",
"Dumitru",
""
],
[
"Cabrera",
"Paulina",
""
],
[
"Mann",
"Robert B.",
""
],
[
"Rojas",
"Raúl",
""
]
] | We consider how scalar fields affect the thermodynamic behavior of charged anti-de Sitter (AdS) black holes. We specifically investigate a class of (3+1)-dimensional exact hairy charged AdS black hole solutions to Einstein-Maxwell-scalar gravity, whose stable ground state and finite horizon area in the zero temperature limit make it of particular interest. We find that the reverse isoperimetric inequality is satisfied for this class and that there exists an intermediate range of the charge that admits reentrant phase behavior, the first example of this type of phase behavior in (3+1) dimensions in a consistent theory. |
hep-th/9209069 | Boguslaw Broda | B. Broda | Quantum theory of non-abelian differential forms and link polynomials | 18 pages, REVISED: minor improvements | Mod.Phys.Lett. A9 (1994) 609-622 | 10.1142/S0217732394003841 | null | hep-th alg-geom gr-qc math.QA | null | A topological quantum field theory of non-abelian differential forms is
investigated from the point of view of its possible applications to description
of polynomial invariants of higher-dimensional two-component links. A
path-integral representation of the partition function of the theory, which is
a highly on-shell reducible system, is obtained in the framework of the
antibracket-antifield formalism of Batalin and Vilkovisky. The quasi-monodromy
matrix, giving rise to corresponding skein relations, is formally derived in a
manifestly covariant non-perturbative manner.
| [
{
"created": "Sat, 19 Sep 1992 09:36:14 GMT",
"version": "v1"
},
{
"created": "Wed, 31 Mar 1993 10:28:37 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Broda",
"B.",
""
]
] | A topological quantum field theory of non-abelian differential forms is investigated from the point of view of its possible applications to description of polynomial invariants of higher-dimensional two-component links. A path-integral representation of the partition function of the theory, which is a highly on-shell reducible system, is obtained in the framework of the antibracket-antifield formalism of Batalin and Vilkovisky. The quasi-monodromy matrix, giving rise to corresponding skein relations, is formally derived in a manifestly covariant non-perturbative manner. |
hep-th/9808129 | Richard Battye | Richard A. Battye and Paul M. Sutcliffe | To be or knot to be? | 7 pages plus 1 figure included in GIF format | Phys.Rev.Lett.81:4798-4801,1998 | 10.1103/PhysRevLett.81.4798 | DAMTP-1998-109, UKC/IMS/98-33 | hep-th | null | It has been suggested recently that knots might exist as stable soliton
solutions in a simple three-dimensional classical field theory, opening up a
wide range of possible applications in physics and beyond. We have re-examined
and extended this work in some detail using a combination of analytic
approximations and sophisticated numerical algorithms. For charges between one
and eight, we find solutions which exhibit a rich and spectacular variety of
phenomena, including stable toroidal solitons with twists, linked loops and
also knots. The physical process which allows for this variety is the
reconnection of string-like segments.
| [
{
"created": "Thu, 20 Aug 1998 16:21:51 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Battye",
"Richard A.",
""
],
[
"Sutcliffe",
"Paul M.",
""
]
] | It has been suggested recently that knots might exist as stable soliton solutions in a simple three-dimensional classical field theory, opening up a wide range of possible applications in physics and beyond. We have re-examined and extended this work in some detail using a combination of analytic approximations and sophisticated numerical algorithms. For charges between one and eight, we find solutions which exhibit a rich and spectacular variety of phenomena, including stable toroidal solitons with twists, linked loops and also knots. The physical process which allows for this variety is the reconnection of string-like segments. |
1702.06539 | Alessia Benedetta Platania | Jorn Biemans, Alessia Platania, Frank Saueressig | Renormalization group fixed points of foliated gravity-matter systems | 42 pages, 6 figures | null | 10.1007/JHEP05(2017)093 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We employ the Arnowitt-Deser-Misner formalism to study the renormalization
group flow of gravity minimally coupled to an arbitrary number of scalar,
vector, and Dirac fields. The decomposition of the gravitational degrees of
freedom into a lapse function, shift vector, and spatial metric equips
spacetime with a preferred (Euclidean) "time"-direction. In this work, we
provide a detailed derivation of the renormalization group flow of Newton's
constant and the cosmological constant on a flat Friedmann-Robertson-Walker
background. Adding matter fields, it is shown that their contribution to the
flow is the same as in the covariant formulation and can be captured by two
parameters $d_g$, $d_\lambda$. We classify the resulting fixed point structure
as a function of these parameters finding that the existence of non-Gaussian
renormalization group fixed points is rather generic. In particular the matter
content of the standard model and its most common extensions gives rise to one
non-Gaussian fixed point with real critical exponents suitable for Asymptotic
Safety. Moreover, we find non-Gaussian fixed points for any number of scalar
matter fields, making the scenario attractive for cosmological model building.
| [
{
"created": "Tue, 21 Feb 2017 19:00:00 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Biemans",
"Jorn",
""
],
[
"Platania",
"Alessia",
""
],
[
"Saueressig",
"Frank",
""
]
] | We employ the Arnowitt-Deser-Misner formalism to study the renormalization group flow of gravity minimally coupled to an arbitrary number of scalar, vector, and Dirac fields. The decomposition of the gravitational degrees of freedom into a lapse function, shift vector, and spatial metric equips spacetime with a preferred (Euclidean) "time"-direction. In this work, we provide a detailed derivation of the renormalization group flow of Newton's constant and the cosmological constant on a flat Friedmann-Robertson-Walker background. Adding matter fields, it is shown that their contribution to the flow is the same as in the covariant formulation and can be captured by two parameters $d_g$, $d_\lambda$. We classify the resulting fixed point structure as a function of these parameters finding that the existence of non-Gaussian renormalization group fixed points is rather generic. In particular the matter content of the standard model and its most common extensions gives rise to one non-Gaussian fixed point with real critical exponents suitable for Asymptotic Safety. Moreover, we find non-Gaussian fixed points for any number of scalar matter fields, making the scenario attractive for cosmological model building. |
hep-th/0403118 | Kurusch Ebrahimi-Fard | Kurusch Ebrahimi-Fard, Li Guo, Dirk Kreimer | Integrable Renormalization II: the general case | 26 pages, 1 figure | Annales Henri Poincare 6 (2005) 369-395 | 10.1007/s00023-005-0211-2 | null | hep-th math-ph math.MP math.QA | null | We extend the results we obtained in an earlier work. The cocommutative case
of rooted ladder trees is generalized to a full Hopf algebra of (decorated)
rooted trees. For Hopf algebra characters with target space of Rota-Baxter
type, the Birkhoff decomposition of renormalization theory is derived by using
the Rota-Baxter double construction, respectively Atkinson's theorem. We also
outline the extension to the Hopf algebra of Feynman graphs via decorated
rooted trees.
| [
{
"created": "Wed, 10 Mar 2004 18:59:16 GMT",
"version": "v1"
}
] | 2009-09-29 | [
[
"Ebrahimi-Fard",
"Kurusch",
""
],
[
"Guo",
"Li",
""
],
[
"Kreimer",
"Dirk",
""
]
] | We extend the results we obtained in an earlier work. The cocommutative case of rooted ladder trees is generalized to a full Hopf algebra of (decorated) rooted trees. For Hopf algebra characters with target space of Rota-Baxter type, the Birkhoff decomposition of renormalization theory is derived by using the Rota-Baxter double construction, respectively Atkinson's theorem. We also outline the extension to the Hopf algebra of Feynman graphs via decorated rooted trees. |
hep-th/0407124 | Massimo Giovannini | Massimo Giovannini | Vector fluctuations from multidimensional curvature bounces | 22 pages, 3 included figures | Phys.Rev. D70 (2004) 103509 | 10.1103/PhysRevD.70.103509 | CERN-PH-TH/2004-128 | hep-th astro-ph gr-qc hep-ph | null | It is argued that in the case of a smooth transition across a
(dilaton-driven) curvature bounce the growing mode of the vector fluctuations
matches continuously with a decaying mode at later times. Analytical examples
of this observation are given both in the presence and in the absence of fluid
sources. In the case of multidimensional bouncing models the situation is
different, since the system of differential equations describing the vector
modes of the geometry has a richer structure. The amplification of the vector
modes of the geometry is specifically investigated in a regular
five-dimensional bouncing curvature model where scale factors of the external
and internal manifolds evolve at a dual rate. Vector fluctuations, in this
case, can be copiously produced and are continuous across the bounce. The
relevance of these results is critically illustrated.
| [
{
"created": "Wed, 14 Jul 2004 15:46:05 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Giovannini",
"Massimo",
""
]
] | It is argued that in the case of a smooth transition across a (dilaton-driven) curvature bounce the growing mode of the vector fluctuations matches continuously with a decaying mode at later times. Analytical examples of this observation are given both in the presence and in the absence of fluid sources. In the case of multidimensional bouncing models the situation is different, since the system of differential equations describing the vector modes of the geometry has a richer structure. The amplification of the vector modes of the geometry is specifically investigated in a regular five-dimensional bouncing curvature model where scale factors of the external and internal manifolds evolve at a dual rate. Vector fluctuations, in this case, can be copiously produced and are continuous across the bounce. The relevance of these results is critically illustrated. |
hep-th/9511139 | Tobias Hurth | Tobias Hurth | Nonabelian Gauge Symmetry in the Causal Epstein-Glaser Approach | 32 pages, latex-file, no figures | Int.J.Mod.Phys. A12 (1997) 4461-4476 | 10.1142/S0217751X97002437 | Zuerich University Preprint ZU-TH 20/95 | hep-th hep-ph | null | We present some generalizations of a recently proposed alternative approach
to nonabelian gauge theories based on the causal Epstein-Glaser method in
perturbative quantum field theory. Nonabelian gauge invariance is defined by a
simple commutator relation in every order of perturbation theory separately
using only the linear (abelian) BRS-transformations of the asymptotic fields.
This condition is sufficient for the unitarity of the S-matrix in the physical
subspace. We derive the most general specific coupling compatible with the
conditions of nonabelian gauge invariance and normalizability. We explicitly
show that the quadrilinear terms, the four-gluon-coupling and the
four-ghost-coupling, are generated by our linear condition of nonabelian gauge
invariance. Moreover, we work out the required generalizations for linear
gauges.
| [
{
"created": "Mon, 20 Nov 1995 23:59:01 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Hurth",
"Tobias",
""
]
] | We present some generalizations of a recently proposed alternative approach to nonabelian gauge theories based on the causal Epstein-Glaser method in perturbative quantum field theory. Nonabelian gauge invariance is defined by a simple commutator relation in every order of perturbation theory separately using only the linear (abelian) BRS-transformations of the asymptotic fields. This condition is sufficient for the unitarity of the S-matrix in the physical subspace. We derive the most general specific coupling compatible with the conditions of nonabelian gauge invariance and normalizability. We explicitly show that the quadrilinear terms, the four-gluon-coupling and the four-ghost-coupling, are generated by our linear condition of nonabelian gauge invariance. Moreover, we work out the required generalizations for linear gauges. |
2309.16447 | Hikaru Uchida | Shota Kikuchi, Tatsuo Kobayashi, Kaito Nasu, Shohei Takada, Hikaru
Uchida | Modular symmetry in magnetized $T^{2g}$ torus and orbifold models | 53 pages | null | null | EPHOU-23-016 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the modular symmetry in magnetized $T^{2g}$ torus and orbifold
models. The $T^{2g}$ torus has the modular symmetry
$\Gamma_{g}=Sp(2g,\mathbb{Z})$. Magnetic flux background breaks the modular
symmetry to a certain normalizer $N_{g}(H)$. We classify remaining modular
symmetries by magnetic flux matrix types. Furthermore, we study the modular
symmetry for wave functions on the magnetized $T^{2g}$ and certain orbifolds.
It is found that wave functions on magnetized $T^{2g}$ as well as its orbifolds
behave as the Siegel modular forms of weight $1/2$ and
$\widetilde{N}_{g}(H,h)$, which is the metapletic congruence subgroup of the
double covering group of $N_{g}(H)$, $\widetilde{N}_{g}(H)$. Then, wave
functions transform non-trivially under the quotient group,
$\widetilde{N}_{g,h}=\widetilde{N}_{g}(H)/\widetilde{N}_{g}(H,h)$, where the
level $h$ is related to the determinant of the magnetic flux matrix.
Accordingly, the corresponding four-dimensional (4D) chiral fields also
transform non-trivially under $\widetilde{N}_{g,h}$ modular flavor
transformation with modular weight $-1/2$. We also study concrete modular
flavor symmetries of wave functions on magnetized $T^{2g}$ orbifolds.
| [
{
"created": "Thu, 28 Sep 2023 13:56:40 GMT",
"version": "v1"
}
] | 2023-09-29 | [
[
"Kikuchi",
"Shota",
""
],
[
"Kobayashi",
"Tatsuo",
""
],
[
"Nasu",
"Kaito",
""
],
[
"Takada",
"Shohei",
""
],
[
"Uchida",
"Hikaru",
""
]
] | We study the modular symmetry in magnetized $T^{2g}$ torus and orbifold models. The $T^{2g}$ torus has the modular symmetry $\Gamma_{g}=Sp(2g,\mathbb{Z})$. Magnetic flux background breaks the modular symmetry to a certain normalizer $N_{g}(H)$. We classify remaining modular symmetries by magnetic flux matrix types. Furthermore, we study the modular symmetry for wave functions on the magnetized $T^{2g}$ and certain orbifolds. It is found that wave functions on magnetized $T^{2g}$ as well as its orbifolds behave as the Siegel modular forms of weight $1/2$ and $\widetilde{N}_{g}(H,h)$, which is the metapletic congruence subgroup of the double covering group of $N_{g}(H)$, $\widetilde{N}_{g}(H)$. Then, wave functions transform non-trivially under the quotient group, $\widetilde{N}_{g,h}=\widetilde{N}_{g}(H)/\widetilde{N}_{g}(H,h)$, where the level $h$ is related to the determinant of the magnetic flux matrix. Accordingly, the corresponding four-dimensional (4D) chiral fields also transform non-trivially under $\widetilde{N}_{g,h}$ modular flavor transformation with modular weight $-1/2$. We also study concrete modular flavor symmetries of wave functions on magnetized $T^{2g}$ orbifolds. |
1207.0243 | Diana Vaman | Djordje Minic, Diana Vaman and Chaolun Wu | On the 3-point functions of Aging Dynamics and the AdS/CFT
Correspondence | 4 pages | null | 10.1103/PhysRevLett.109.131601 | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Aging can be realized as a sub-algebra of Schr\"odinger algebra by discarding
the time-translation generator. While the 2-point functions of the Age algebra
have been known for some time, little else was known about the higher $n$-point
correlators. In this letter we present novel 3-point correlators of scalar
primary operators. We find that the Aging correlators are distinct from the
Schr\"odinger correlators by more than certain dressings with time-dependent
factors, as was the case with 2-point functions. In the existing literature,
the holographic geometry of Aging is obtained by performing certain general
coordinate transformations on the holographic dual of the Schr\"odinger theory.
Consequently, the Aging 2-point functions derived from holography look as the
Schr\"odinger 2-point functions dressed by time-dependent factors. However,
since the 3-point functions obtained in this letter are not merely dressed
Schr\"odinger correlators and instead depend on an additional time-translation
breaking variable, we conclude that the most general holographic realization of
Aging is yet to be found.
| [
{
"created": "Sun, 1 Jul 2012 20:00:29 GMT",
"version": "v1"
}
] | 2013-05-30 | [
[
"Minic",
"Djordje",
""
],
[
"Vaman",
"Diana",
""
],
[
"Wu",
"Chaolun",
""
]
] | Aging can be realized as a sub-algebra of Schr\"odinger algebra by discarding the time-translation generator. While the 2-point functions of the Age algebra have been known for some time, little else was known about the higher $n$-point correlators. In this letter we present novel 3-point correlators of scalar primary operators. We find that the Aging correlators are distinct from the Schr\"odinger correlators by more than certain dressings with time-dependent factors, as was the case with 2-point functions. In the existing literature, the holographic geometry of Aging is obtained by performing certain general coordinate transformations on the holographic dual of the Schr\"odinger theory. Consequently, the Aging 2-point functions derived from holography look as the Schr\"odinger 2-point functions dressed by time-dependent factors. However, since the 3-point functions obtained in this letter are not merely dressed Schr\"odinger correlators and instead depend on an additional time-translation breaking variable, we conclude that the most general holographic realization of Aging is yet to be found. |
1011.1145 | Mees de Roo | Roel Andringa, Eric Bergshoeff, Sudhakar Panda, M. de Roo | Newtonian Gravity and the Bargmann Algebra | Latex, 20 pages, typos corrected, published version | Class.Quant.Grav.28:105011,2011 | 10.1088/0264-9381/28/10/105011 | UG-10-76 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show how the Newton-Cartan formulation of Newtonian gravity can be
obtained from gauging the Bargmann algebra, i.e., the centrally extended
Galilean algebra. In this gauging procedure several curvature constraints are
imposed. These convert the spatial (time) translational symmetries of the
algebra into spatial (time) general coordinate transformations, and make the
spin connection gauge fields dependent. In addition we require two independent
Vielbein postulates for the temporal and spatial directions. In the final step
we impose an additional curvature constraint to establish the connection with
(on-shell) Newton-Cartan theory. We discuss a few extensions of our work that
are relevant in the context of the AdS-CFT correspondence.
| [
{
"created": "Thu, 4 Nov 2010 12:43:44 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Nov 2010 12:53:49 GMT",
"version": "v2"
},
{
"created": "Wed, 25 May 2011 13:30:07 GMT",
"version": "v3"
}
] | 2011-05-26 | [
[
"Andringa",
"Roel",
""
],
[
"Bergshoeff",
"Eric",
""
],
[
"Panda",
"Sudhakar",
""
],
[
"de Roo",
"M.",
""
]
] | We show how the Newton-Cartan formulation of Newtonian gravity can be obtained from gauging the Bargmann algebra, i.e., the centrally extended Galilean algebra. In this gauging procedure several curvature constraints are imposed. These convert the spatial (time) translational symmetries of the algebra into spatial (time) general coordinate transformations, and make the spin connection gauge fields dependent. In addition we require two independent Vielbein postulates for the temporal and spatial directions. In the final step we impose an additional curvature constraint to establish the connection with (on-shell) Newton-Cartan theory. We discuss a few extensions of our work that are relevant in the context of the AdS-CFT correspondence. |
hep-th/0112218 | Raphael Bousso | Raphael Bousso, Alexander Maloney and Andrew Strominger | Conformal Vacua and Entropy in de Sitter Space | 52 pages | Phys.Rev.D65:104039,2002 | 10.1103/PhysRevD.65.104039 | null | hep-th | null | The dS/CFT correspondence is illuminated through an analysis of massive
scalar field theory in d-dimensional de Sitter space. We consider a
one-parameter family of dS-invariant vacua related by Bogolyubov
transformations and compute the corresponding Green functions. It is shown that
none of these Green functions correspond to the one obtained by analytic
continuation from AdS. Among this family of vacua are in (out) vacua which have
no incoming (outgoing) particles on past (future) infinity. Surprisingly, it is
shown that in odd spacetime dimensions the in and out vacua are the same,
implying the absence of particle production for this state. The correlators of
the boundary CFT, as defined by the dS/CFT correspondence, are shown to depend
on the choice of vacuum state - the correlators with all points on past
infinity vanish in the in vacuum. For dS_3 we argue that this bulk vacuum
dependence of the correlators is dual to a deformation of the boundary CFT_2 by
a specific marginal operator. It is also shown that Witten's non-standard de
Sitter inner product (slightly modified) reduces to the standard inner product
of the boundary field theory. Next we consider a scalar field in the Kerr-dS_3
Euclidean vacuum. A density matrix is constructed by tracing out over modes
which are causally inaccessible to a single geodesic observer. This is shown to
be a thermal state at the Kerr-dS_3 temperature and angular potential. It is
further shown that, assuming Cardy's formula, the microscopic entropy of such a
thermal state in the boundary CFT precisely equals the Bekenstein-Hawking value
of one quarter the area of the Kerr-dS_3 horizon.
| [
{
"created": "Fri, 21 Dec 2001 23:12:46 GMT",
"version": "v1"
}
] | 2009-09-17 | [
[
"Bousso",
"Raphael",
""
],
[
"Maloney",
"Alexander",
""
],
[
"Strominger",
"Andrew",
""
]
] | The dS/CFT correspondence is illuminated through an analysis of massive scalar field theory in d-dimensional de Sitter space. We consider a one-parameter family of dS-invariant vacua related by Bogolyubov transformations and compute the corresponding Green functions. It is shown that none of these Green functions correspond to the one obtained by analytic continuation from AdS. Among this family of vacua are in (out) vacua which have no incoming (outgoing) particles on past (future) infinity. Surprisingly, it is shown that in odd spacetime dimensions the in and out vacua are the same, implying the absence of particle production for this state. The correlators of the boundary CFT, as defined by the dS/CFT correspondence, are shown to depend on the choice of vacuum state - the correlators with all points on past infinity vanish in the in vacuum. For dS_3 we argue that this bulk vacuum dependence of the correlators is dual to a deformation of the boundary CFT_2 by a specific marginal operator. It is also shown that Witten's non-standard de Sitter inner product (slightly modified) reduces to the standard inner product of the boundary field theory. Next we consider a scalar field in the Kerr-dS_3 Euclidean vacuum. A density matrix is constructed by tracing out over modes which are causally inaccessible to a single geodesic observer. This is shown to be a thermal state at the Kerr-dS_3 temperature and angular potential. It is further shown that, assuming Cardy's formula, the microscopic entropy of such a thermal state in the boundary CFT precisely equals the Bekenstein-Hawking value of one quarter the area of the Kerr-dS_3 horizon. |
hep-th/0405281 | Masato Ito | Masato Ito | Holographic dark energy model with non-minimal coupling | 7 pages, no figure, corrected some typos, to be published in
Europhys. Lett | Europhys.Lett. 71 (2005) 712-715 | 10.1209/epl/i2005-10151-x | AUE-04-01 | hep-th astro-ph | null | We find that holographic dark energy model with non-minimally coupled scalar
field gives rise to an accelerating universe by choosing Hubble scale as IR
cutoff. We show viable range of a non-minimal coupling parameter in the
framework of this model.
| [
{
"created": "Mon, 31 May 2004 05:54:41 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Jun 2004 10:46:26 GMT",
"version": "v2"
},
{
"created": "Thu, 2 Sep 2004 01:01:15 GMT",
"version": "v3"
},
{
"created": "Tue, 1 Feb 2005 08:36:02 GMT",
"version": "v4"
},
{
"created": "Tue, 2 Aug 2005 08:55:01 GMT",
"version": "v5"
}
] | 2009-11-10 | [
[
"Ito",
"Masato",
""
]
] | We find that holographic dark energy model with non-minimally coupled scalar field gives rise to an accelerating universe by choosing Hubble scale as IR cutoff. We show viable range of a non-minimal coupling parameter in the framework of this model. |
1511.04013 | Gaston Giribet | Gaston Giribet, Yerko Vasquez | Evanescent gravitons in Warped Anti-de Sitter space | 10 pages | Phys. Rev. D 93, 024001 (2016) | 10.1103/PhysRevD.93.024001 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Besides black holes, the phase space of three-dimensional massive gravity
about Warped-Anti de Sitter (WAdS) space contains solutions that decay
exponentially in time. They describe evanescent graviton configurations that,
while governed by a wave equation with non-vanishing effective mass, do not
carry net gravitational energy. Explicit examples of such solutions have been
found in the case of Topologically Massive Gravity; here, we generalize them to
a much more general ghost-free massive deformation, with the difference being
that the decay rate gets corrected due to the presence of higher-order terms.
| [
{
"created": "Thu, 12 Nov 2015 19:02:54 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Dec 2015 15:48:01 GMT",
"version": "v2"
}
] | 2016-01-13 | [
[
"Giribet",
"Gaston",
""
],
[
"Vasquez",
"Yerko",
""
]
] | Besides black holes, the phase space of three-dimensional massive gravity about Warped-Anti de Sitter (WAdS) space contains solutions that decay exponentially in time. They describe evanescent graviton configurations that, while governed by a wave equation with non-vanishing effective mass, do not carry net gravitational energy. Explicit examples of such solutions have been found in the case of Topologically Massive Gravity; here, we generalize them to a much more general ghost-free massive deformation, with the difference being that the decay rate gets corrected due to the presence of higher-order terms. |
1803.02871 | Ian G. Moss | Leopoldo Cuspinera, Ruth Gregory, Katie Marshall, Ian G Moss | Higgs Vacuum Decay from Particle Collisions? | 32 pages, 8 figures, v2 with extended introduction | Phys. Rev. D 99, 024046 (2019) | 10.1103/PhysRevD.99.024046 | DCPT-18/05 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine the effect of large extra dimensions on black hole seeded vacuum
decay using the Randall-Sundrum model as a prototype for warped extra
dimensions. We model the braneworld black hole by a tidal solution, and solve
the Higgs equations of motion for the instanton on the brane. Remarkably, the
action of the static instanton can be shown to be the difference in the bulk
areas of the seed and remnant black holes, and we estimate these areas assuming
the black holes are small compared to the bulk AdS radius. Comparing to the
Hawking evaporation rate shows that small black hole seeds preferentially
catalyse vacuum decay, thus extending our previous results to higher
dimensional braneworld scenarios. The parameter ranges do not allow for
Standard Model Higgs decay from collider black holes, but they can be relevant
for cosmic ray collisions.
| [
{
"created": "Wed, 7 Mar 2018 20:50:21 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Dec 2018 16:07:38 GMT",
"version": "v2"
}
] | 2019-02-06 | [
[
"Cuspinera",
"Leopoldo",
""
],
[
"Gregory",
"Ruth",
""
],
[
"Marshall",
"Katie",
""
],
[
"Moss",
"Ian G",
""
]
] | We examine the effect of large extra dimensions on black hole seeded vacuum decay using the Randall-Sundrum model as a prototype for warped extra dimensions. We model the braneworld black hole by a tidal solution, and solve the Higgs equations of motion for the instanton on the brane. Remarkably, the action of the static instanton can be shown to be the difference in the bulk areas of the seed and remnant black holes, and we estimate these areas assuming the black holes are small compared to the bulk AdS radius. Comparing to the Hawking evaporation rate shows that small black hole seeds preferentially catalyse vacuum decay, thus extending our previous results to higher dimensional braneworld scenarios. The parameter ranges do not allow for Standard Model Higgs decay from collider black holes, but they can be relevant for cosmic ray collisions. |
hep-th/9111008 | null | Hubert Saleur | Geometrical Lattice models for N=2 supersymmetric theories in two
dimensions | 23 pages (without figures) | Nucl.Phys. B382 (1992) 532-560 | 10.1016/0550-3213(92)90658-X | null | hep-th | null | We introduce in this paper two dimensional lattice models whose continuum
limit belongs to the $N=2$ series. The first kind of model is integrable and
obtained through a geometrical reformulation, generalizing results known in the
$k=1$ case, of the $\Gamma_{k}$ vertex models (based on the quantum algebra
$U_{q}sl(2)$ and representation of spin $j=k/2$). We demonstrate in particular
that at the $N=2$ point, the free energy of the $\Gamma_{k}$ vertex model can
be obtained exactly by counting arguments, without any Bethe ansatz
computation, and we exhibit lattice operators that reproduce the chiral ring.
The second class of models is more adequately described in the language of
twisted $N=2$ supersymmetry, and consists of an infinite series of
multicritical polymer points, which should lead to experimental realizations.
It turns out that the exponents $\nu=(k+2)/2(k+1)$ for these multicritical
polymer points coincide with old phenomenological formulas due to the chemist
Flory. We therefore confirm that these formulas are {\bf exact} in two
dimensions, and suggest that their unexpected validity is due to non
renormalization theorems for the $N=2$ underlying theories. We also discuss the
status of the much discussed theta point for polymers in the light of $N=2$
renormalization group flows.
| [
{
"created": "Mon, 4 Nov 1991 22:27:00 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Saleur",
"Hubert",
""
]
] | We introduce in this paper two dimensional lattice models whose continuum limit belongs to the $N=2$ series. The first kind of model is integrable and obtained through a geometrical reformulation, generalizing results known in the $k=1$ case, of the $\Gamma_{k}$ vertex models (based on the quantum algebra $U_{q}sl(2)$ and representation of spin $j=k/2$). We demonstrate in particular that at the $N=2$ point, the free energy of the $\Gamma_{k}$ vertex model can be obtained exactly by counting arguments, without any Bethe ansatz computation, and we exhibit lattice operators that reproduce the chiral ring. The second class of models is more adequately described in the language of twisted $N=2$ supersymmetry, and consists of an infinite series of multicritical polymer points, which should lead to experimental realizations. It turns out that the exponents $\nu=(k+2)/2(k+1)$ for these multicritical polymer points coincide with old phenomenological formulas due to the chemist Flory. We therefore confirm that these formulas are {\bf exact} in two dimensions, and suggest that their unexpected validity is due to non renormalization theorems for the $N=2$ underlying theories. We also discuss the status of the much discussed theta point for polymers in the light of $N=2$ renormalization group flows. |
hep-th/0408193 | Adolfo Zamora | Juan M. Romero and Adolfo Zamora | Snyder noncommutative space-time from two-time physics | 5 pages, RevTeX4. References added | Phys.Rev. D70 (2004) 105006 | 10.1103/PhysRevD.70.105006 | null | hep-th | null | We show that the two-time physics model leads to a mechanical system with
Dirac brackets consistent with the Snyder noncommutative space. An Euclidean
version of this space is also obtained and it is shown that both spaces have a
dual system describing a particle in a curved space-time.
| [
{
"created": "Wed, 25 Aug 2004 21:53:56 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Nov 2004 19:32:16 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Romero",
"Juan M.",
""
],
[
"Zamora",
"Adolfo",
""
]
] | We show that the two-time physics model leads to a mechanical system with Dirac brackets consistent with the Snyder noncommutative space. An Euclidean version of this space is also obtained and it is shown that both spaces have a dual system describing a particle in a curved space-time. |
1203.1855 | Fernando C. Lombardo | Cesar D. Fosco, Fernando C. Lombardo, and Francisco D. Mazzitelli | Derivative expansion of the electromagnetic Casimir energy for two thin
mirrors | Version to appear in Phys. Rev. D | null | 10.1103/PhysRevD.85.125037 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We extend our previous work on a derivative expansion for the Casimir energy,
to the case of the electromagnetic field coupled to two thin, imperfect
mirrors. The latter are described by means of vacuum polarization tensors
localized on the mirrors. We apply the results so obtained to compute the first
correction to the proximity force approximation to the static Casimir effect.
| [
{
"created": "Thu, 8 Mar 2012 17:16:10 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Jun 2012 02:06:55 GMT",
"version": "v2"
}
] | 2015-06-04 | [
[
"Fosco",
"Cesar D.",
""
],
[
"Lombardo",
"Fernando C.",
""
],
[
"Mazzitelli",
"Francisco D.",
""
]
] | We extend our previous work on a derivative expansion for the Casimir energy, to the case of the electromagnetic field coupled to two thin, imperfect mirrors. The latter are described by means of vacuum polarization tensors localized on the mirrors. We apply the results so obtained to compute the first correction to the proximity force approximation to the static Casimir effect. |
2011.13857 | Si-Nong Liu | Sumit R. Das, Anurag Kaushal, Sinong Liu, Gautam Mandal, Sandip P.
Trivedi | Gauge Invariant Target Space Entanglement in D-Brane Holography | 53 pages, 4 figures | null | 10.1007/JHEP04(2021)225 | TIFR-TH/20-48 | hep-th cond-mat.stat-mech quant-ph | http://creativecommons.org/licenses/by/4.0/ | It has been suggested in arXiv:2004.00613 that in Dp-brane holography,
entanglement in the target space of the D-brane Yang-Mills theory provides a
precise notion of bulk entanglement in the gravity dual. We expand on this
discussion by providing a gauge invariant characterization of operator
sub-algebras corresponding to such entanglement. This is achieved by finding a
projection operator which imposes a constraint characterizing the target space
region of interest. By considering probe branes in the Coulomb branch we
provide motivation for why the operator sub-algebras we consider are
appropriate for describing a class of measurements carried out with low-energy
probes in the corresponding bulk region of interest. We derive expressions for
the corresponding Renyi entropies in terms of path integrals which can be
directly used in numerical calculations.
| [
{
"created": "Fri, 27 Nov 2020 17:35:04 GMT",
"version": "v1"
},
{
"created": "Sun, 17 Jan 2021 02:23:49 GMT",
"version": "v2"
}
] | 2021-05-12 | [
[
"Das",
"Sumit R.",
""
],
[
"Kaushal",
"Anurag",
""
],
[
"Liu",
"Sinong",
""
],
[
"Mandal",
"Gautam",
""
],
[
"Trivedi",
"Sandip P.",
""
]
] | It has been suggested in arXiv:2004.00613 that in Dp-brane holography, entanglement in the target space of the D-brane Yang-Mills theory provides a precise notion of bulk entanglement in the gravity dual. We expand on this discussion by providing a gauge invariant characterization of operator sub-algebras corresponding to such entanglement. This is achieved by finding a projection operator which imposes a constraint characterizing the target space region of interest. By considering probe branes in the Coulomb branch we provide motivation for why the operator sub-algebras we consider are appropriate for describing a class of measurements carried out with low-energy probes in the corresponding bulk region of interest. We derive expressions for the corresponding Renyi entropies in terms of path integrals which can be directly used in numerical calculations. |
hep-th/9908029 | Ben Craps | Marco Billo', Ben Craps and Frederik Roose | Anomalous couplings of non-BPS D-branes | 4 pages, latex, uses cargese.cls, contribution to proceedings of
NATO-ASI and TMR Summer School "Progress in String Theory and M-theory",
Cargese, May 24 - June 5 1999 (talk by Frederik Roose) | null | null | KUL-TF-99/28 | hep-th | null | Non-BPS type II D-branes couple to R-R potentials via an action that, upon
tachyon condensation, gives rise to the Wess-Zumino action of BPS D-branes.
| [
{
"created": "Wed, 4 Aug 1999 11:26:37 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Billo'",
"Marco",
""
],
[
"Craps",
"Ben",
""
],
[
"Roose",
"Frederik",
""
]
] | Non-BPS type II D-branes couple to R-R potentials via an action that, upon tachyon condensation, gives rise to the Wess-Zumino action of BPS D-branes. |
hep-th/0412023 | N. E. J. Bjerrum-Bohr | Steven J. Bidder, N.E.J. Bjerrum-Bohr, David C. Dunbar and Warren B.
Perkins | Twistor Space Structure of the Box Coefficients of N=1 One-loop
Amplitudes | 14 pages, minor typos corrected | Phys.Lett.B608:151-163,2005 | 10.1016/j.physletb.2004.12.030 | SWAT-04-420 | hep-th | null | We examine the coefficients of the box functions in N=1 supersymmetric
one-loop amplitudes. We present the box coefficients for all six point N=1
amplitudes and certain all $n$ example coefficients. We find for ``next-to
MHV'' amplitudes that these box coefficients have coplanar support in twistor
space.
| [
{
"created": "Thu, 2 Dec 2004 12:13:08 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Mar 2006 12:00:39 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Bidder",
"Steven J.",
""
],
[
"Bjerrum-Bohr",
"N. E. J.",
""
],
[
"Dunbar",
"David C.",
""
],
[
"Perkins",
"Warren B.",
""
]
] | We examine the coefficients of the box functions in N=1 supersymmetric one-loop amplitudes. We present the box coefficients for all six point N=1 amplitudes and certain all $n$ example coefficients. We find for ``next-to MHV'' amplitudes that these box coefficients have coplanar support in twistor space. |
hep-th/9212117 | null | H. Lu, C.N. Pope, S. Schrans and X.J. Wang | The Interacting $W_3$ String | (Revised version), 26 pages, Plain Tex, CTP TAMU-86/92, KUL-TF-92/43 | Nucl.Phys.B403:351-376,1993 | 10.1016/0550-3213(93)90040-V | null | hep-th | null | We present a procedure for computing gauge-invariant scattering amplitudes in
the $W_3$ string, and use it to calculate three-point and four-point functions.
We show that non-vanishing scattering amplitudes necessarily involve external
physical states with excitations of ghosts as well as matter fields. The
crossing properties of the four-point functions are studied, and it is shown
that the duality of the Virasoro string amplitudes generalises in the $W_3$
string, with different sets of intermediate states being exchanged in different
channels. We also exhibit a relation between the scattering amplitudes of the
$W_3$ string and the fusion rules of the Ising model.
| [
{
"created": "Fri, 18 Dec 1992 22:30:25 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Jan 1993 22:05:06 GMT",
"version": "v2"
}
] | 2009-10-07 | [
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
],
[
"Schrans",
"S.",
""
],
[
"Wang",
"X. J.",
""
]
] | We present a procedure for computing gauge-invariant scattering amplitudes in the $W_3$ string, and use it to calculate three-point and four-point functions. We show that non-vanishing scattering amplitudes necessarily involve external physical states with excitations of ghosts as well as matter fields. The crossing properties of the four-point functions are studied, and it is shown that the duality of the Virasoro string amplitudes generalises in the $W_3$ string, with different sets of intermediate states being exchanged in different channels. We also exhibit a relation between the scattering amplitudes of the $W_3$ string and the fusion rules of the Ising model. |
hep-th/0702151 | Matthias Staudacher | Adam Rej, Matthias Staudacher and Stefan Zieme | Nesting and Dressing | 38 pages, 2 figures. v2: References and appendix discussing the
emulation of the dressing phase added | J.Stat.Mech.0708:P08006,2007 | 10.1088/1742-5468/2007/08/P08006 | AEI-2007-008 | hep-th | null | We compute the anomalous dimensions of field strength operators Tr F^L in N=4
SYM from an asymptotic nested Bethe ansatz to all-loop order. Starting from the
exact solution of the one-loop problem at arbitrary L, we derive a single
effective integral equation for the thermodynamic limit of these dimensions. We
also include the recently proposed phase factor for the S-matrix of the planar
AdS/CFT system. The terms in the effective equation corresponding to,
respectively, the nesting and the dressing are structurally very similar. This
hints at the physical origin of the dressing phase, which we conjecture to
arise from the hidden presence of infinitely many auxiliary Bethe roots
describing a non-trivial "filled" structure of the theory's BPS vacuum. We
finally show that the mechanism for creating effective nesting/dressing kernels
is quite generic by also deriving the integral equation for the all-loop
dimension of a certain one-loop so(6) singlet state.
| [
{
"created": "Mon, 19 Feb 2007 20:17:56 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Mar 2007 17:21:53 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Rej",
"Adam",
""
],
[
"Staudacher",
"Matthias",
""
],
[
"Zieme",
"Stefan",
""
]
] | We compute the anomalous dimensions of field strength operators Tr F^L in N=4 SYM from an asymptotic nested Bethe ansatz to all-loop order. Starting from the exact solution of the one-loop problem at arbitrary L, we derive a single effective integral equation for the thermodynamic limit of these dimensions. We also include the recently proposed phase factor for the S-matrix of the planar AdS/CFT system. The terms in the effective equation corresponding to, respectively, the nesting and the dressing are structurally very similar. This hints at the physical origin of the dressing phase, which we conjecture to arise from the hidden presence of infinitely many auxiliary Bethe roots describing a non-trivial "filled" structure of the theory's BPS vacuum. We finally show that the mechanism for creating effective nesting/dressing kernels is quite generic by also deriving the integral equation for the all-loop dimension of a certain one-loop so(6) singlet state. |
2311.15986 | Dan Xie | Dan Xie | On rank two theories with eight supercharges part II: Lefschetz pencils | 40 pages, 9 tables, 19 figures | null | null | null | hep-th math.AG math.GT | http://creativecommons.org/licenses/by/4.0/ | The global Seiberg-Witten (SW) geometries for rank two theories with eight
supercharges are studied. The theory is deformed generically so that there are
only simplest $I_1$ or $\tilde{I}_1$ singularities on the Coulomb branch, which
then geometrically gives the so-called Lefchetz pencils, The local singularity
was shown to be determined by the conjugacy class of mapping class group (MCG);
The global study is then reduced to the questions about MCG: a) Find the
factorization of the MCG element of the singular fiber into positive products
of Dehn twists (which gives the $I_1$ singularity or $\tilde{I}_1$
singularity); b) Find the factorization of identity element in terms of Dehn
twists. We solved above two MCG problems for most rank two theories.The results
are very helpful in determining IR physics for all vacua of 4d SCFTs. Our
approach is combinatorial and many aspects can be straightforwardly generalized
to the study of higher rank theory.
| [
{
"created": "Mon, 27 Nov 2023 16:31:00 GMT",
"version": "v1"
}
] | 2023-11-28 | [
[
"Xie",
"Dan",
""
]
] | The global Seiberg-Witten (SW) geometries for rank two theories with eight supercharges are studied. The theory is deformed generically so that there are only simplest $I_1$ or $\tilde{I}_1$ singularities on the Coulomb branch, which then geometrically gives the so-called Lefchetz pencils, The local singularity was shown to be determined by the conjugacy class of mapping class group (MCG); The global study is then reduced to the questions about MCG: a) Find the factorization of the MCG element of the singular fiber into positive products of Dehn twists (which gives the $I_1$ singularity or $\tilde{I}_1$ singularity); b) Find the factorization of identity element in terms of Dehn twists. We solved above two MCG problems for most rank two theories.The results are very helpful in determining IR physics for all vacua of 4d SCFTs. Our approach is combinatorial and many aspects can be straightforwardly generalized to the study of higher rank theory. |
1102.0285 | Christoph L\"udeling | Christoph L\"udeling | Seven-Dimensional Super-Yang-Mills Theory in N=1 Superfields | 18 pages, no figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give a gauge-covariant formulation of seven-dimensional super-Yang-Mills
theory in terms of N=1 superfields. Furthermore, we show that five and seven
dimensions are the only cases where such a formulation exists by analysing the
interplay of Lorentz and R symmetries. The action is expressed in terms of
field strengths and a Chern--Simons-like superpotential. Each term is
manifestly N=1 supersymmetric, Lorentz invariant in four dimensions and gauge
invariant under superfield gauge transformations, including those that do not
preserve Wess--Zumino gauge.
| [
{
"created": "Tue, 1 Feb 2011 21:00:05 GMT",
"version": "v1"
}
] | 2011-02-03 | [
[
"Lüdeling",
"Christoph",
""
]
] | We give a gauge-covariant formulation of seven-dimensional super-Yang-Mills theory in terms of N=1 superfields. Furthermore, we show that five and seven dimensions are the only cases where such a formulation exists by analysing the interplay of Lorentz and R symmetries. The action is expressed in terms of field strengths and a Chern--Simons-like superpotential. Each term is manifestly N=1 supersymmetric, Lorentz invariant in four dimensions and gauge invariant under superfield gauge transformations, including those that do not preserve Wess--Zumino gauge. |
hep-th/0001120 | Choon-Lin Ho | V.R. Khalilov and Choon-Lin Ho | Pair Production of charged vector bosons in supercritical magnetic
fields at finite temperatures | 13 pages, RevTex, no figures | Phys.Rev. D60 (1999) 033003 | 10.1103/PhysRevD.60.033003 | null | hep-th | null | The thermodynamic properties of an ideal gas of charged vector bosons (with
mass m and charge e) is studied in a strong external homogeneous magnetic field
no greater than the critical value B_{cr}=m^2/e. The thermodynamic potential,
after appropriate analytic continuation, is then used in the study of the
spontaneous production of charged spin-one boson pairs from vacuum in the
presence of a supercritical homogeneous magnetic field at finite temperature.
| [
{
"created": "Wed, 19 Jan 2000 18:47:42 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Khalilov",
"V. R.",
""
],
[
"Ho",
"Choon-Lin",
""
]
] | The thermodynamic properties of an ideal gas of charged vector bosons (with mass m and charge e) is studied in a strong external homogeneous magnetic field no greater than the critical value B_{cr}=m^2/e. The thermodynamic potential, after appropriate analytic continuation, is then used in the study of the spontaneous production of charged spin-one boson pairs from vacuum in the presence of a supercritical homogeneous magnetic field at finite temperature. |
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