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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9908014
|
Damiano Anselmi
|
D. Anselmi
|
Towards the classification of conformal field theories in arbitrary even
dimension
|
9 pages
|
Phys.Lett. B476 (2000) 182-187
|
10.1016/S0370-2693(00)00135-0
|
CERN-TH/99-234
|
hep-th gr-qc hep-ph
| null |
I identify the class of even-dimensional conformal field theories that is
most similar to two-dimensional conformal field theory. In this class the
formula, elaborated recently, for the irreversibility of the
renormalization-group flow applies also to massive flows. This implies a
prediction for the ratio between the coefficient of the Euler density in the
trace anomaly (charge a) and the stress-tensor two-point function (charge c).
More precisely, the trace anomaly in external gravity is quadratic in the Ricci
tensor and the Ricci scalar and contains a unique central charge. I check the
prediction in detail in four, six and eight dimensions, and then in arbitrary
even dimension.
|
[
{
"created": "Mon, 2 Aug 1999 17:10:54 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Dec 1999 20:53:15 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Anselmi",
"D.",
""
]
] |
I identify the class of even-dimensional conformal field theories that is most similar to two-dimensional conformal field theory. In this class the formula, elaborated recently, for the irreversibility of the renormalization-group flow applies also to massive flows. This implies a prediction for the ratio between the coefficient of the Euler density in the trace anomaly (charge a) and the stress-tensor two-point function (charge c). More precisely, the trace anomaly in external gravity is quadratic in the Ricci tensor and the Ricci scalar and contains a unique central charge. I check the prediction in detail in four, six and eight dimensions, and then in arbitrary even dimension.
|
1906.00996
|
Junggi Yoon
|
Yong-Hui Qi, Sang-Jin Sin and Junggi Yoon
|
Quantum Correction to Chaos in Schwarzian Theory
|
16 pages plus references, 9 figures; v2 references added and typos
corrected
| null |
10.1007/JHEP11(2019)035
|
KIAS-P19031
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the quantum correction to chaos in the Schwarzian theory. We carry
out the semi-classical analysis of the Schwarzian theory to study Feynman
diagrams of the Schwarzian soft mode. We evaluate the contribution of the soft
mode to the out-of-time-order correlator up to order $\mathcal{O}(g^4)$. We
show that the quantum correction of order $\mathcal{O}(g^4)$ by the soft mode
decreases the maximum Lyapunov exponent $2\pi/ \beta$.
|
[
{
"created": "Mon, 3 Jun 2019 18:01:42 GMT",
"version": "v1"
},
{
"created": "Sat, 8 Jun 2019 16:08:05 GMT",
"version": "v2"
}
] |
2020-01-08
|
[
[
"Qi",
"Yong-Hui",
""
],
[
"Sin",
"Sang-Jin",
""
],
[
"Yoon",
"Junggi",
""
]
] |
We discuss the quantum correction to chaos in the Schwarzian theory. We carry out the semi-classical analysis of the Schwarzian theory to study Feynman diagrams of the Schwarzian soft mode. We evaluate the contribution of the soft mode to the out-of-time-order correlator up to order $\mathcal{O}(g^4)$. We show that the quantum correction of order $\mathcal{O}(g^4)$ by the soft mode decreases the maximum Lyapunov exponent $2\pi/ \beta$.
|
hep-th/0009051
|
Gary T. Horowitz
|
Gary T. Horowitz and Veronika E. Hubeny
|
CFT Description of Small Objects in AdS
|
26 pages, 9 figures
|
JHEP 0010 (2000) 027
|
10.1088/1126-6708/2000/10/027
| null |
hep-th
| null |
By the AdS/CFT correspondence, the expectation value of certain local
operators in the CFT is given by the asymptotic value of supergravity fields.
We show that these local expectation values contain a remarkable amount of
information about small sources deep inside AdS_p x S^q. In particular, they
contain essentially all the multipole moments. More importantly, one can use
them to determine the size of a spherical source. This is not a small effect:
The size appears in an exponentially large contribution to the expectation
values. This provides an easy way for the CFT to distinguish stars from black
holes with the same mass, or to distinguish different "giant graviton"
configurations.
|
[
{
"created": "Thu, 7 Sep 2000 22:05:31 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Horowitz",
"Gary T.",
""
],
[
"Hubeny",
"Veronika E.",
""
]
] |
By the AdS/CFT correspondence, the expectation value of certain local operators in the CFT is given by the asymptotic value of supergravity fields. We show that these local expectation values contain a remarkable amount of information about small sources deep inside AdS_p x S^q. In particular, they contain essentially all the multipole moments. More importantly, one can use them to determine the size of a spherical source. This is not a small effect: The size appears in an exponentially large contribution to the expectation values. This provides an easy way for the CFT to distinguish stars from black holes with the same mass, or to distinguish different "giant graviton" configurations.
|
0705.0767
|
Shun-Pei Miao
|
Shun-Pei Miao
|
The Quantum-Corrected Fermion Mode Function during Inflation
|
Ph.D. thesis
| null | null | null |
hep-th
| null |
My project computed the one loop fermion self-energy for massless Dirac +
Einstein in the presence of a locally de Sitter background. I employed
dimensional regularization and obtain a fully renormalized result by absorbing
all divergences with Bogliubov, Parasiuk, Hepp and Zimmermann (BPHZ)
counterterms. An interesting technical aspect of my computation was the need
for a noninvariant counterterm, owing to the breaking of de Sitter invariance
by our gauge condition. I also solved the effective Dirac equation for massless
fermions during inflation in the simplest gauge, including all one loop
corrections from quantum gravity. At late times the result for a spatial plane
wave behaves as if the classical solution were subjected to a time-dependent
field strength renormalization of Z_2(t) = 1 - 17(4 pi) *G H^2 *ln(a) + O(G^2).
I showed that this also follows from making the Hartree approximation, although
the numerical coefficients differ.
|
[
{
"created": "Sat, 5 May 2007 21:57:53 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Miao",
"Shun-Pei",
""
]
] |
My project computed the one loop fermion self-energy for massless Dirac + Einstein in the presence of a locally de Sitter background. I employed dimensional regularization and obtain a fully renormalized result by absorbing all divergences with Bogliubov, Parasiuk, Hepp and Zimmermann (BPHZ) counterterms. An interesting technical aspect of my computation was the need for a noninvariant counterterm, owing to the breaking of de Sitter invariance by our gauge condition. I also solved the effective Dirac equation for massless fermions during inflation in the simplest gauge, including all one loop corrections from quantum gravity. At late times the result for a spatial plane wave behaves as if the classical solution were subjected to a time-dependent field strength renormalization of Z_2(t) = 1 - 17(4 pi) *G H^2 *ln(a) + O(G^2). I showed that this also follows from making the Hartree approximation, although the numerical coefficients differ.
|
1003.2256
|
Julio Oliva
|
Julio Oliva and Ricardo Troncoso
|
Exact quasinormal modes for a special class of black holes
|
8 pages, no figures. Slightly updated version of the plenary talk
given at the General Relativity Conference: "50 Years of FaMAF and Workshop
on Global Problems in Relativity", hosted during November 2006 at FaMAF,
Universidad Nacional de Cordoba, Cordoba, Argentina.
|
Phys.Rev.D82:027502,2010
|
10.1103/PhysRevD.82.027502
|
CECS-PHY-06/13
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Analytic exact expressions for the quasinormal modes of scalar and
electromagnetic perturbations around a special class of black holes are found
in d\ge3 dimensions. It is shown that, the size of the black hole provides a
bound for the angular momentum of the perturbation. Quasinormal modes appear
when this bound is fulfilled, otherwise the excitations become purely damped.
|
[
{
"created": "Thu, 11 Mar 2010 05:10:52 GMT",
"version": "v1"
}
] |
2014-11-20
|
[
[
"Oliva",
"Julio",
""
],
[
"Troncoso",
"Ricardo",
""
]
] |
Analytic exact expressions for the quasinormal modes of scalar and electromagnetic perturbations around a special class of black holes are found in d\ge3 dimensions. It is shown that, the size of the black hole provides a bound for the angular momentum of the perturbation. Quasinormal modes appear when this bound is fulfilled, otherwise the excitations become purely damped.
|
1408.4118
|
Dhrubo Jyoti
|
Stephon Alexander, Dhrubo Jyoti, Arthur Kosowsky, Antonino Marciano
|
Dynamics of Gauge Field Inflation
|
17 pages, 2 figures; version 2; minor revisions; submitted to JCAP
10-29-14
|
JCAP 1505 (2015) 05, 005
|
10.1088/1475-7516/2015/05/005
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze the existence and stability of dynamical attractor solutions for
cosmological inflation driven by the coupling between fermions and a gauge
field. Assuming a spatially homogeneous and isotropic gauge field and fermion
current, the interacting fermion equation of motion reduces to that of a free
fermion up to a phase shift. Consistency of the model is ensured via the
Stuckelberg mechanism. We prove the existence of exactly one stable solution,
and demonstrate the stability numerically. Inflation arises without fine
tuning, and does not require postulating any effective potential or
non-standard coupling.
|
[
{
"created": "Mon, 18 Aug 2014 20:00:04 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Oct 2014 00:41:12 GMT",
"version": "v2"
}
] |
2015-05-21
|
[
[
"Alexander",
"Stephon",
""
],
[
"Jyoti",
"Dhrubo",
""
],
[
"Kosowsky",
"Arthur",
""
],
[
"Marciano",
"Antonino",
""
]
] |
We analyze the existence and stability of dynamical attractor solutions for cosmological inflation driven by the coupling between fermions and a gauge field. Assuming a spatially homogeneous and isotropic gauge field and fermion current, the interacting fermion equation of motion reduces to that of a free fermion up to a phase shift. Consistency of the model is ensured via the Stuckelberg mechanism. We prove the existence of exactly one stable solution, and demonstrate the stability numerically. Inflation arises without fine tuning, and does not require postulating any effective potential or non-standard coupling.
|
hep-th/9410038
|
Gerard 't Hooft
|
G. 't Hooft
|
Gauge theory and renormalization (Erice, August 1994)
|
Minor, cosmetic changes. 19 pages. Plain TeX plus 6 figures in
PostScript
| null | null |
THU-94/15
|
hep-th
| null |
Early developments leading to renormalizable non-Abelian gauge theories for
the weak, electromagnetic and strong interactions, are discussed from a
personal viewpoint. They drastically improved our view of the role of field
theory, symmetry and topology, as well as other branches of mathematics, in the
world of elementary particles.
|
[
{
"created": "Thu, 6 Oct 1994 15:28:21 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Mar 1997 13:42:11 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Hooft",
"G. 't",
""
]
] |
Early developments leading to renormalizable non-Abelian gauge theories for the weak, electromagnetic and strong interactions, are discussed from a personal viewpoint. They drastically improved our view of the role of field theory, symmetry and topology, as well as other branches of mathematics, in the world of elementary particles.
|
1109.1710
|
Khalid Saifullah
|
Jamil Ahmed and K. Saifullah
|
Hawking temperature of rotating charged black strings from tunneling
| null |
JCAP 11 (2011) 023
|
10.1088/1475-7516/2011/11/023
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Thermal radiations from spherically symmetric black holes have been studied
from the point of view of quantum tunneling. In this paper we extend this
approach to study radiation of fermions from charged and rotating black
strings. Using WKB approximation and Hamilton-Jacobi method we work out the
tunneling probabilities of incoming and outgoing fermions and find the correct
Hawking temperature for these objects. We show that in appropriate limits the
results reduce to those for the uncharged and non-rotating black strings.
|
[
{
"created": "Thu, 8 Sep 2011 13:10:00 GMT",
"version": "v1"
}
] |
2015-05-30
|
[
[
"Ahmed",
"Jamil",
""
],
[
"Saifullah",
"K.",
""
]
] |
Thermal radiations from spherically symmetric black holes have been studied from the point of view of quantum tunneling. In this paper we extend this approach to study radiation of fermions from charged and rotating black strings. Using WKB approximation and Hamilton-Jacobi method we work out the tunneling probabilities of incoming and outgoing fermions and find the correct Hawking temperature for these objects. We show that in appropriate limits the results reduce to those for the uncharged and non-rotating black strings.
|
1505.06992
|
Mike Blake
|
Mike Blake
|
Momentum relaxation from the fluid/gravity correspondence
|
19 pages + appendix, v2: references added, typos corrected, v3:
version published in JHEP
|
JHEP09(2015)010
|
10.1007/JHEP09(2015)010
|
DAMTP-2015-27
|
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide a hydrodynamical description of a holographic theory with broken
translation invariance. We use the fluid/gravity correspondence to
systematically obtain both the constitutive relations for the currents and the
Ward identity for momentum relaxation in a derivative expansion. Beyond leading
order in the strength of momentum relaxation, our results differ from a model
previously proposed by Hartnoll et al. As an application of these techniques we
consider charge and heat transport in the boundary theory. We derive the low
frequency thermoelectric transport coefficients of the holographic theory from
the linearised hydrodynamics.
|
[
{
"created": "Tue, 26 May 2015 15:08:51 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Jul 2015 14:50:11 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Sep 2015 11:10:51 GMT",
"version": "v3"
}
] |
2015-09-11
|
[
[
"Blake",
"Mike",
""
]
] |
We provide a hydrodynamical description of a holographic theory with broken translation invariance. We use the fluid/gravity correspondence to systematically obtain both the constitutive relations for the currents and the Ward identity for momentum relaxation in a derivative expansion. Beyond leading order in the strength of momentum relaxation, our results differ from a model previously proposed by Hartnoll et al. As an application of these techniques we consider charge and heat transport in the boundary theory. We derive the low frequency thermoelectric transport coefficients of the holographic theory from the linearised hydrodynamics.
|
2302.01565
|
Timofei Snegirev
|
Timofei Snegirev
|
Hamiltonian formulation for perfect fluid equations with the l-conformal
Galilei symmetry
|
9 pages; v2: references added, typos corrected
| null |
10.1016/j.geomphys.2023.104930
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Hamiltonian formulation for perfect fluid equations with the l-conformal
Galilei symmetry is proposed. For an arbitrary half-integer value of the
parameter l, the Hamilton and non-canonical Poisson brackets are found, in
terms of which the original higher derivative equations of motion take the
conventional Hamiltonian form. The full set of conserved charges is found and
their algebra is established.
|
[
{
"created": "Fri, 3 Feb 2023 06:24:56 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Jun 2024 06:22:08 GMT",
"version": "v2"
}
] |
2024-06-19
|
[
[
"Snegirev",
"Timofei",
""
]
] |
The Hamiltonian formulation for perfect fluid equations with the l-conformal Galilei symmetry is proposed. For an arbitrary half-integer value of the parameter l, the Hamilton and non-canonical Poisson brackets are found, in terms of which the original higher derivative equations of motion take the conventional Hamiltonian form. The full set of conserved charges is found and their algebra is established.
|
hep-th/0511219
|
S. Gopinath Kamath
|
S.G.Kamath
|
The energy-momentum tensor,the trace identity and the Casimir effect
|
22 pages
|
Pramana66:345-360,2006
|
10.1007/BF02704389
| null |
hep-th
| null |
The trace identity associated with the scale transformation $x^\mu\tox'{}^\mu
= e^{-\rho}x^\mu$ on the Lagrangian density for the noninteracting
electromagnetic field in the covariant gauge is shown to be violated on a
single plate on which the Dirichlet boundary condition $A^\mu(t,x^1,x^2,x^3=-a)
= 0$ is imposed.It is however respected in free space,i.e. in the absence of
the plate; these results reinforce our assertions in an earlier paper where the
same exercise was carried out using the Lagrangian density for the
free,massive,real scalar field in 2 + 1 dimensions.
|
[
{
"created": "Tue, 22 Nov 2005 14:49:25 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Kamath",
"S. G.",
""
]
] |
The trace identity associated with the scale transformation $x^\mu\tox'{}^\mu = e^{-\rho}x^\mu$ on the Lagrangian density for the noninteracting electromagnetic field in the covariant gauge is shown to be violated on a single plate on which the Dirichlet boundary condition $A^\mu(t,x^1,x^2,x^3=-a) = 0$ is imposed.It is however respected in free space,i.e. in the absence of the plate; these results reinforce our assertions in an earlier paper where the same exercise was carried out using the Lagrangian density for the free,massive,real scalar field in 2 + 1 dimensions.
|
2404.00421
|
Francesco Bascone
|
Francesco Bascone, Franco Pezzella, Patrizia Vitale
|
Jacobi Sigma Models and Twisted Jacobi Structures
| null | null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Jacobi sigma models are two-dimensional topological non-linear field theories
which are associated with Jacobi structures. The latter can be considered as a
generalization of Poisson structures. After reviewing the main properties and
peculiarities of these models, we focus on the twisted version in which a
Wess-Zumino term is included. This modification allows for the target space to
be a twisted Jacobi manifold. We discuss in particular the model on the sphere
$S^5$.
|
[
{
"created": "Sat, 30 Mar 2024 17:00:39 GMT",
"version": "v1"
}
] |
2024-04-02
|
[
[
"Bascone",
"Francesco",
""
],
[
"Pezzella",
"Franco",
""
],
[
"Vitale",
"Patrizia",
""
]
] |
Jacobi sigma models are two-dimensional topological non-linear field theories which are associated with Jacobi structures. The latter can be considered as a generalization of Poisson structures. After reviewing the main properties and peculiarities of these models, we focus on the twisted version in which a Wess-Zumino term is included. This modification allows for the target space to be a twisted Jacobi manifold. We discuss in particular the model on the sphere $S^5$.
|
hep-th/9404019
|
Sherry Robinson
|
Abhay Ashtekar
|
Quantum Gravity: A Mathematical Physics Perspective
|
28 pages, TEX, CGPG #93/12-2
| null | null | null |
hep-th
| null |
This article is based on an invited talk given at the Workshop on
Mathematical Physics Towards XXIst Century, held at Beer-Sheva, Israel in 1993.
It contains an introduction to quantum gravity for mathematical physicists with
an emphasis on the difference between the structure of this theory from more
familiar, Minkowskian quantum field theories which arise due to the absence of
a background space-time geometry.
|
[
{
"created": "Tue, 5 Apr 1994 14:35:41 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Ashtekar",
"Abhay",
""
]
] |
This article is based on an invited talk given at the Workshop on Mathematical Physics Towards XXIst Century, held at Beer-Sheva, Israel in 1993. It contains an introduction to quantum gravity for mathematical physicists with an emphasis on the difference between the structure of this theory from more familiar, Minkowskian quantum field theories which arise due to the absence of a background space-time geometry.
|
1712.09250
|
Siddharth Prabhu
|
Walter D. Goldberger, Jingping Li, and Siddharth G. Prabhu
|
Spinning particles, axion radiation, and the classical double copy
|
10+5 pages, LaTeX, 2 figures. v2:Fixed typos and added minor
clarifications
|
Phys. Rev. D 97, 105018 (2018)
|
10.1103/PhysRevD.97.105018
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We extend the perturbative double copy between radiating classical sources in
gauge theory and gravity to the case of spinning particles. We construct, to
linear order in spins, perturbative radiating solutions to the classical
Yang-Mills equations sourced by a set of interacting color charges with
chromomagnetic dipole spin couplings. Using a color-to-kinematics replacement
rule proposed earlier by one of the authors, these solutions map onto radiation
in a theory of interacting particles coupled to massless fields that include
the graviton, a scalar (dilaton) $\phi$ and the Kalb-Ramond axion field
$B_{\mu\nu}$. Consistency of the double copy imposes constraints on the
parameters of the theory on both the gauge and gravity sides of the
correspondence. In particular, the color charges carry a chromomagnetic
interaction which, in $d=4$, corresponds to a gyromagnetic ratio equal to
Dirac's value $g=2$. The color-to-kinematics map implies that on the gravity
side, the bulk theory of the fields $(\phi,g_{\mu\nu},B_{\mu\nu})$ has
interactions which match those of $d$-dimensional `string gravity,' as is the
case both in the BCJ double copy of pure gauge theory scattering amplitudes and
the KLT relations between the tree-level $S$-matrix elements of open and closed
string theory.
|
[
{
"created": "Tue, 26 Dec 2017 12:21:24 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Mar 2018 03:14:22 GMT",
"version": "v2"
}
] |
2018-06-06
|
[
[
"Goldberger",
"Walter D.",
""
],
[
"Li",
"Jingping",
""
],
[
"Prabhu",
"Siddharth G.",
""
]
] |
We extend the perturbative double copy between radiating classical sources in gauge theory and gravity to the case of spinning particles. We construct, to linear order in spins, perturbative radiating solutions to the classical Yang-Mills equations sourced by a set of interacting color charges with chromomagnetic dipole spin couplings. Using a color-to-kinematics replacement rule proposed earlier by one of the authors, these solutions map onto radiation in a theory of interacting particles coupled to massless fields that include the graviton, a scalar (dilaton) $\phi$ and the Kalb-Ramond axion field $B_{\mu\nu}$. Consistency of the double copy imposes constraints on the parameters of the theory on both the gauge and gravity sides of the correspondence. In particular, the color charges carry a chromomagnetic interaction which, in $d=4$, corresponds to a gyromagnetic ratio equal to Dirac's value $g=2$. The color-to-kinematics map implies that on the gravity side, the bulk theory of the fields $(\phi,g_{\mu\nu},B_{\mu\nu})$ has interactions which match those of $d$-dimensional `string gravity,' as is the case both in the BCJ double copy of pure gauge theory scattering amplitudes and the KLT relations between the tree-level $S$-matrix elements of open and closed string theory.
|
hep-th/0607052
|
Yasuyuki Hatsuda
|
Yasuyuki Hatsuda and Yutaka Matsuo
|
Symmetry and Integrability of Non-Singlet Sectors in Matrix Quantum
Mechanics
|
34 pages, 4 figures
|
J.Phys.A40:1633-1660,2007
|
10.1088/1751-8113/40/7/014
|
UT-06-13
|
hep-th cond-mat.stat-mech math-ph math.MP
| null |
We study the non-singlet sectors of matrix quantum mechanics (MQM) through an
operator algebra which generates the spectrum. The algebra is a nonlinear
extension of the W_\infty algebra where the nonlinearity comes from the angular
part of the matrix which can not be neglected in the non-singlet sector. The
algebra contains an infinite set of commuting generators which can be regarded
as the conserved currents of MQM. We derive the spectrum and the eigenfunctions
of these conserved quantities by a group theoretical method. An interesting
feature of the spectrum of these charges in the non-singlet sectors is that
they are identical to those of the singlet sector except for the
multiplicities. We also derive the explicit form of these commuting charges in
terms of the eigenvalues of the matrix and show that the interaction terms
which are typical in Calogero-Sutherland system appear. Finally we discuss the
bosonization and rewrite the commuting charges in terms of a free boson
together with a finite number of extra degrees of freedom for the non-singlet
sectors.
|
[
{
"created": "Mon, 10 Jul 2006 12:14:53 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Aug 2006 07:48:07 GMT",
"version": "v2"
},
{
"created": "Wed, 15 Nov 2006 08:15:54 GMT",
"version": "v3"
},
{
"created": "Mon, 11 Dec 2006 06:16:47 GMT",
"version": "v4"
}
] |
2008-11-26
|
[
[
"Hatsuda",
"Yasuyuki",
""
],
[
"Matsuo",
"Yutaka",
""
]
] |
We study the non-singlet sectors of matrix quantum mechanics (MQM) through an operator algebra which generates the spectrum. The algebra is a nonlinear extension of the W_\infty algebra where the nonlinearity comes from the angular part of the matrix which can not be neglected in the non-singlet sector. The algebra contains an infinite set of commuting generators which can be regarded as the conserved currents of MQM. We derive the spectrum and the eigenfunctions of these conserved quantities by a group theoretical method. An interesting feature of the spectrum of these charges in the non-singlet sectors is that they are identical to those of the singlet sector except for the multiplicities. We also derive the explicit form of these commuting charges in terms of the eigenvalues of the matrix and show that the interaction terms which are typical in Calogero-Sutherland system appear. Finally we discuss the bosonization and rewrite the commuting charges in terms of a free boson together with a finite number of extra degrees of freedom for the non-singlet sectors.
|
1802.04191
|
Nicholas Plantz
|
N.W.M. Plantz, F. Garc\'ia Fl\'orez and H.T.C. Stoof
|
Massive Dirac fermions from holography
|
34 pages, 13 figures, v2: published version & minor corrections
|
Journal of High Energy Physics 4, 123 (2018)
|
10.1007/JHEP04(2018)123
| null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide a framework to compute the dynamics of massive Dirac fermions
using holography. To this end we consider two bulk Dirac fermions that are
coupled via a Yukawa interaction and propagate on a gravitational background in
which a mass deformation is introduced. Moreover, we discuss the incorporation
of this approach in semiholography. The resulting undoped fermionic spectral
functions indeed show that the Yukawa coupling induces a gap in the holographic
spectrum, whereas the semiholographic extension is in general gapped but
additionally contains a quantum critical point at which the effective fermion
mass vanishes and a topological phase transition occurs. Furthermore, when
introducing doping, the fermionic spectral functions show a quantum phase
transition between a gapped material and a Fermi liquid.
|
[
{
"created": "Mon, 12 Feb 2018 17:14:40 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Apr 2018 15:39:24 GMT",
"version": "v2"
}
] |
2018-04-27
|
[
[
"Plantz",
"N. W. M.",
""
],
[
"Flórez",
"F. García",
""
],
[
"Stoof",
"H. T. C.",
""
]
] |
We provide a framework to compute the dynamics of massive Dirac fermions using holography. To this end we consider two bulk Dirac fermions that are coupled via a Yukawa interaction and propagate on a gravitational background in which a mass deformation is introduced. Moreover, we discuss the incorporation of this approach in semiholography. The resulting undoped fermionic spectral functions indeed show that the Yukawa coupling induces a gap in the holographic spectrum, whereas the semiholographic extension is in general gapped but additionally contains a quantum critical point at which the effective fermion mass vanishes and a topological phase transition occurs. Furthermore, when introducing doping, the fermionic spectral functions show a quantum phase transition between a gapped material and a Fermi liquid.
|
2302.11695
|
Jonathan Harper
|
Kazuki Doi, Jonathan Harper, Ali Mollabashi, Tadashi Takayanagi, and
Yusuke Taki
|
Timelike entanglement entropy
|
61 pages, 25 figures
| null |
10.1007/JHEP05(2023)052
|
YITP-23-22
|
hep-th cond-mat.stat-mech quant-ph
|
http://creativecommons.org/licenses/by-nc-sa/4.0/
|
We define a new complex-valued measure of information called the timelike
entanglement entropy (EE) which in the boundary theory can be viewed as a Wick
rotation that changes a spacelike boundary subregion to a timelike one. An
explicit definition of the timelike EE in 2d field theories is provided
followed by numerical computations which agree with the analytic continuation
of the replica method for CFTs. We argue that timelike EE should be correctly
interpreted as another measure previously considered, the pseudo entropy, which
is the von Neumann entropy of a reduced transition matrix. Our results strongly
imply that the imaginary part of the pseudo entropy describes an emergent time
which generalizes the notion of an emergent space from quantum entanglement.
For holographic systems we define the timelike EE as the total complex valued
area of a particular stationary combination of both space and timelike extremal
surfaces which are homologous to the boundary region. For the examples
considered we find explicit matching of our optimization procedure and the
careful implementation of the Wick rotation in the boundary CFT. We also make
progress on higher dimensional generalizations and relations to holographic
pseudo entropy in de Sitter space.
|
[
{
"created": "Wed, 22 Feb 2023 23:16:41 GMT",
"version": "v1"
}
] |
2023-05-24
|
[
[
"Doi",
"Kazuki",
""
],
[
"Harper",
"Jonathan",
""
],
[
"Mollabashi",
"Ali",
""
],
[
"Takayanagi",
"Tadashi",
""
],
[
"Taki",
"Yusuke",
""
]
] |
We define a new complex-valued measure of information called the timelike entanglement entropy (EE) which in the boundary theory can be viewed as a Wick rotation that changes a spacelike boundary subregion to a timelike one. An explicit definition of the timelike EE in 2d field theories is provided followed by numerical computations which agree with the analytic continuation of the replica method for CFTs. We argue that timelike EE should be correctly interpreted as another measure previously considered, the pseudo entropy, which is the von Neumann entropy of a reduced transition matrix. Our results strongly imply that the imaginary part of the pseudo entropy describes an emergent time which generalizes the notion of an emergent space from quantum entanglement. For holographic systems we define the timelike EE as the total complex valued area of a particular stationary combination of both space and timelike extremal surfaces which are homologous to the boundary region. For the examples considered we find explicit matching of our optimization procedure and the careful implementation of the Wick rotation in the boundary CFT. We also make progress on higher dimensional generalizations and relations to holographic pseudo entropy in de Sitter space.
|
hep-th/9703057
|
Cihan Saclioglu
|
C. Saclioglu and S. Nergiz
|
Seiberg-Witten Monopole Equations And Riemann Surfaces
|
Latex, 23 pages.
|
Nucl.Phys. B503 (1997) 675-687
|
10.1016/S0550-3213(97)00457-4
|
MRC-PH-TH-3/97
|
hep-th
| null |
The twice-dimensionally reduced Seiberg-Witten monopole equations admit
solutions depending on two real parameters (b,c) and an arbitrary analytic
function f(z) determining a solution of Liouville's equation. The U(1) and
manifold curvature 2-forms F and R^1_2 are invariant under fractional SL(2,R)
transformations of f(z). When b=1/2 and c=0 and f(z) is the Fuchsian function
uniformizing an algebraic function whose Riemann surface has genus p \geq 2 ,
the solutions, now SL(2,R) invariant, are the same surfaces accompanied by a
U(1) bundle of c_1=\pm (p-1) and a 1-component constant spinor.
|
[
{
"created": "Fri, 7 Mar 1997 09:14:49 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Saclioglu",
"C.",
""
],
[
"Nergiz",
"S.",
""
]
] |
The twice-dimensionally reduced Seiberg-Witten monopole equations admit solutions depending on two real parameters (b,c) and an arbitrary analytic function f(z) determining a solution of Liouville's equation. The U(1) and manifold curvature 2-forms F and R^1_2 are invariant under fractional SL(2,R) transformations of f(z). When b=1/2 and c=0 and f(z) is the Fuchsian function uniformizing an algebraic function whose Riemann surface has genus p \geq 2 , the solutions, now SL(2,R) invariant, are the same surfaces accompanied by a U(1) bundle of c_1=\pm (p-1) and a 1-component constant spinor.
|
1701.02574
|
Richard Szabo
|
Vladislav G. Kupriyanov, Richard J. Szabo
|
$G_2$-structures and quantization of non-geometric M-theory backgrounds
|
41 pages; v2: Final version published in JHEP
|
JHEP 1702 (2017) 099
|
10.1007/JHEP02(2017)099
|
EMPG-17-01
|
hep-th math-ph math.MP math.QA math.SG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe the quantization of a four-dimensional locally non-geometric
M-theory background dual to a twisted three-torus by deriving a phase space
star product for deformation quantization of quasi-Poisson brackets related to
the nonassociative algebra of octonions. The construction is based on a choice
of $G_2$-structure which defines a nonassociative deformation of the addition
law on the seven-dimensional vector space of Fourier momenta. We demonstrate
explicitly that this star product reduces to that of the three-dimensional
parabolic constant $R$-flux model in the contraction of M-theory to string
theory, and use it to derive quantum phase space uncertainty relations as well
as triproducts for the nonassociative geometry of the four-dimensional
configuration space. By extending the $G_2$-structure to a $Spin(7)$-structure,
we propose a 3-algebra structure on the full eight-dimensional M2-brane phase
space which reduces to the quasi-Poisson algebra after imposing a particular
gauge constraint, and whose deformation quantisation simultaneously encompasses
both the phase space star products and the configuration space triproducts. We
demonstrate how these structures naturally fit in with previous occurences of
3-algebras in M-theory.
|
[
{
"created": "Tue, 10 Jan 2017 13:11:58 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Mar 2017 09:01:21 GMT",
"version": "v2"
}
] |
2017-03-08
|
[
[
"Kupriyanov",
"Vladislav G.",
""
],
[
"Szabo",
"Richard J.",
""
]
] |
We describe the quantization of a four-dimensional locally non-geometric M-theory background dual to a twisted three-torus by deriving a phase space star product for deformation quantization of quasi-Poisson brackets related to the nonassociative algebra of octonions. The construction is based on a choice of $G_2$-structure which defines a nonassociative deformation of the addition law on the seven-dimensional vector space of Fourier momenta. We demonstrate explicitly that this star product reduces to that of the three-dimensional parabolic constant $R$-flux model in the contraction of M-theory to string theory, and use it to derive quantum phase space uncertainty relations as well as triproducts for the nonassociative geometry of the four-dimensional configuration space. By extending the $G_2$-structure to a $Spin(7)$-structure, we propose a 3-algebra structure on the full eight-dimensional M2-brane phase space which reduces to the quasi-Poisson algebra after imposing a particular gauge constraint, and whose deformation quantisation simultaneously encompasses both the phase space star products and the configuration space triproducts. We demonstrate how these structures naturally fit in with previous occurences of 3-algebras in M-theory.
|
1606.02295
|
Austin Joyce
|
Garrett Goon, Kurt Hinterbichler, Austin Joyce, Mark Trodden
|
Aspects of Galileon Non-Renormalization
|
33 pages. v2: minor corrections, added comments, version to appear in
JHEP
|
JHEP 11 (2016) 100
|
10.1007/JHEP11(2016)100
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss non-renormalization theorems applying to galileon field theories
and their generalizations. Galileon theories are similar in many respects to
other derivatively coupled effective field theories, including general
relativity and $P(X)$ theories. In particular, these other theories also enjoy
versions of non-renormalization theorems that protect certain operators against
corrections from self-loops. However, we argue that the galileons are
distinguished by the fact that they are not renormalized even by loops of other
heavy fields whose couplings respect the galileon symmetry.
|
[
{
"created": "Tue, 7 Jun 2016 20:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Nov 2016 18:22:58 GMT",
"version": "v2"
}
] |
2016-11-23
|
[
[
"Goon",
"Garrett",
""
],
[
"Hinterbichler",
"Kurt",
""
],
[
"Joyce",
"Austin",
""
],
[
"Trodden",
"Mark",
""
]
] |
We discuss non-renormalization theorems applying to galileon field theories and their generalizations. Galileon theories are similar in many respects to other derivatively coupled effective field theories, including general relativity and $P(X)$ theories. In particular, these other theories also enjoy versions of non-renormalization theorems that protect certain operators against corrections from self-loops. However, we argue that the galileons are distinguished by the fact that they are not renormalized even by loops of other heavy fields whose couplings respect the galileon symmetry.
|
2004.04429
|
Lerh Feng Low
|
Lerh Feng Low, Shaun Hotchkiss, Richard Easther
|
The Distribution of Vacua in Random Landscape Potentials
|
22 pages, 11 figures. $P(\Lambda > 0$ at $N=100$ updated from
$10^{-780}$ to $10^{-1197}$; the original error was due to an incorrect value
of $\gamma$
| null |
10.1088/1475-7516/2021/01/029
| null |
hep-th astro-ph.CO cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Landscape cosmology posits the existence of a convoluted, multidimensional,
scalar potential -- the "landscape" -- with vast numbers of metastable minima.
Random matrices and random functions in many dimensions provide toy models of
the landscape, allowing the exploration of conceptual issues associated with
these scenarios. We compute the relative number and slopes of minima as a
function of the vacuum energy $\Lambda$ in an $N$-dimensional Gaussian random
potential, quantifying the associated probability density, $p(\Lambda)$. After
normalisations $p(\Lambda)$ depends only on the dimensionality $N$ and a single
free parameter $\gamma$, which is related to the power spectrum of the random
function. For a Gaussian landscape with a Gaussian power spectrum, the fraction
of positive minima shrinks super-exponentially with $N$; at $N=100$,
$p(\Lambda>0) \approx 10^{-1197}$. Likewise, typical eigenvalues of the Hessian
matrices reveal that the flattest approaches to typical minima grow flatter
with $N$, while the ratio of the slopes of the two flattest directions grows
with $N$. We discuss the implications of these results for both swampland and
conventional anthropic constraints on landscape cosmologies. In particular, for
parameter values when positive minima are extremely rare, the flattest
approaches to minima where $\Lambda \approx 0$ are much flatter than for
typical minima, increasingly the viability of quintessence solutions.
|
[
{
"created": "Thu, 9 Apr 2020 09:05:12 GMT",
"version": "v1"
},
{
"created": "Thu, 7 May 2020 06:42:30 GMT",
"version": "v2"
},
{
"created": "Tue, 13 Oct 2020 05:00:03 GMT",
"version": "v3"
}
] |
2021-01-20
|
[
[
"Low",
"Lerh Feng",
""
],
[
"Hotchkiss",
"Shaun",
""
],
[
"Easther",
"Richard",
""
]
] |
Landscape cosmology posits the existence of a convoluted, multidimensional, scalar potential -- the "landscape" -- with vast numbers of metastable minima. Random matrices and random functions in many dimensions provide toy models of the landscape, allowing the exploration of conceptual issues associated with these scenarios. We compute the relative number and slopes of minima as a function of the vacuum energy $\Lambda$ in an $N$-dimensional Gaussian random potential, quantifying the associated probability density, $p(\Lambda)$. After normalisations $p(\Lambda)$ depends only on the dimensionality $N$ and a single free parameter $\gamma$, which is related to the power spectrum of the random function. For a Gaussian landscape with a Gaussian power spectrum, the fraction of positive minima shrinks super-exponentially with $N$; at $N=100$, $p(\Lambda>0) \approx 10^{-1197}$. Likewise, typical eigenvalues of the Hessian matrices reveal that the flattest approaches to typical minima grow flatter with $N$, while the ratio of the slopes of the two flattest directions grows with $N$. We discuss the implications of these results for both swampland and conventional anthropic constraints on landscape cosmologies. In particular, for parameter values when positive minima are extremely rare, the flattest approaches to minima where $\Lambda \approx 0$ are much flatter than for typical minima, increasingly the viability of quintessence solutions.
|
hep-th/0204033
|
Dongsu Bak
|
Dongsu Bak
|
Supersymmetric Branes in the Matrix Model of PP Wave Background
|
14 pages, 1 figure, references added, typos corrected
|
Phys.Rev. D67 (2003) 045017
|
10.1103/PhysRevD.67.045017
|
UOSTP-02101
|
hep-th
| null |
We consider the matrix model associated with pp-wave background and construct
supersymmetric branes. In addition to the spherical membrane preserving 16
supersymmetries, one may construct rotating elliptic membranes preserving 8
supersymmetries. The other branch describes rotating 1/8 BPS hyperbolic branes
in general. When the angular momentum vanishes in this branch, the hyperbolic
brane becomes 1/4 BPS preserving 8 real supersymmetries. It may have the shape
of hyperboloid of one or two sheets embedded in the flat three space. We study
the spectrum of the worldvolume fields on the hyperbolic branes and show that
there are no massless degrees. We also compute the spectrum of the 0-2 strings.
|
[
{
"created": "Wed, 3 Apr 2002 15:37:30 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Apr 2002 16:52:13 GMT",
"version": "v2"
},
{
"created": "Thu, 25 Apr 2002 15:40:07 GMT",
"version": "v3"
},
{
"created": "Wed, 14 Aug 2002 18:17:55 GMT",
"version": "v4"
}
] |
2009-11-07
|
[
[
"Bak",
"Dongsu",
""
]
] |
We consider the matrix model associated with pp-wave background and construct supersymmetric branes. In addition to the spherical membrane preserving 16 supersymmetries, one may construct rotating elliptic membranes preserving 8 supersymmetries. The other branch describes rotating 1/8 BPS hyperbolic branes in general. When the angular momentum vanishes in this branch, the hyperbolic brane becomes 1/4 BPS preserving 8 real supersymmetries. It may have the shape of hyperboloid of one or two sheets embedded in the flat three space. We study the spectrum of the worldvolume fields on the hyperbolic branes and show that there are no massless degrees. We also compute the spectrum of the 0-2 strings.
|
1911.10220
|
Yuan Xin
|
A. Liam Fitzpatrick, Emanuel Katz, Matthew T. Walters, Yuan Xin
|
Solving the 2D SUSY Gross-Neveu-Yukawa Model with Conformal Truncation
|
24 pages, 18 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use Lightcone Conformal Truncation to analyze the RG flow of the
two-dimensional supersymmetric Gross-Neveu-Yukawa theory, i.e. the theory of a
real scalar superfield with a $\mathbb{Z}_2$-symmetric cubic superpotential.
The theory depends on a single dimensionless coupling $\bar{g}$, and is
expected to have a critical point at a tuned value $\bar{g}_*$ where it flows
in the IR to the Tricritical Ising Model (TIM); the theory spontaneously breaks
the $\mathbb{Z}_2$ symmetry on one side of this phase transition, and breaks
SUSY on the other side. We calculate the spectrum of energies as a function of
$\bar{g}$ and see the gap close as the critical point is approached, and
numerically read off the critical exponent $\nu$ in TIM. Beyond the critical
point, the gap remains nearly zero, in agreement with the expectation of a
massless Goldstino. We also study spectral functions of local operators on both
sides of the phase transition and compare to analytic predictions where
possible. In particular, we use the Zamolodchikov $C$-function to map the
entire phase diagram of the theory. Crucial to this analysis is the fact that
our truncation is able to preserve supersymmetry sufficiently to avoid any
additional fine tuning.
|
[
{
"created": "Fri, 22 Nov 2019 19:09:23 GMT",
"version": "v1"
}
] |
2019-11-26
|
[
[
"Fitzpatrick",
"A. Liam",
""
],
[
"Katz",
"Emanuel",
""
],
[
"Walters",
"Matthew T.",
""
],
[
"Xin",
"Yuan",
""
]
] |
We use Lightcone Conformal Truncation to analyze the RG flow of the two-dimensional supersymmetric Gross-Neveu-Yukawa theory, i.e. the theory of a real scalar superfield with a $\mathbb{Z}_2$-symmetric cubic superpotential. The theory depends on a single dimensionless coupling $\bar{g}$, and is expected to have a critical point at a tuned value $\bar{g}_*$ where it flows in the IR to the Tricritical Ising Model (TIM); the theory spontaneously breaks the $\mathbb{Z}_2$ symmetry on one side of this phase transition, and breaks SUSY on the other side. We calculate the spectrum of energies as a function of $\bar{g}$ and see the gap close as the critical point is approached, and numerically read off the critical exponent $\nu$ in TIM. Beyond the critical point, the gap remains nearly zero, in agreement with the expectation of a massless Goldstino. We also study spectral functions of local operators on both sides of the phase transition and compare to analytic predictions where possible. In particular, we use the Zamolodchikov $C$-function to map the entire phase diagram of the theory. Crucial to this analysis is the fact that our truncation is able to preserve supersymmetry sufficiently to avoid any additional fine tuning.
|
1706.04973
|
Valentin Reys
|
Bernard de Wit, Valentin Reys
|
Euclidean Supergravity
|
42 pages
| null |
10.1007/JHEP12(2017)011
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Supergravity with eight supercharges in a four-dimensional Euclidean space is
constructed at the full non-linear level by performing an off-shell time-like
reduction of five-dimensional supergravity. The resulting four-dimensional
theory is realized off-shell with the Weyl, vector and tensor supermultiplets
and a corresponding multiplet calculus. Hypermultiplets are included as well,
but they are themselves only realized with on-shell supersymmetry. The
off-shell reduction leads to a full understanding of the Euclidean theory. A
complete multiplet calculus is presented along the lines of the Minkowskian
theory. Unlike in Minkowski space, chiral and anti-chiral multiplets are real
and supersymmetric actions are generally unbounded from below. Precisely as in
the Minkowski case, where one has different formulations of Poincar\'e
supergravity by introducing different compensating supermultiplets, one can
also obtain different versions of Euclidean supergravity.
|
[
{
"created": "Thu, 15 Jun 2017 17:18:46 GMT",
"version": "v1"
}
] |
2018-01-17
|
[
[
"de Wit",
"Bernard",
""
],
[
"Reys",
"Valentin",
""
]
] |
Supergravity with eight supercharges in a four-dimensional Euclidean space is constructed at the full non-linear level by performing an off-shell time-like reduction of five-dimensional supergravity. The resulting four-dimensional theory is realized off-shell with the Weyl, vector and tensor supermultiplets and a corresponding multiplet calculus. Hypermultiplets are included as well, but they are themselves only realized with on-shell supersymmetry. The off-shell reduction leads to a full understanding of the Euclidean theory. A complete multiplet calculus is presented along the lines of the Minkowskian theory. Unlike in Minkowski space, chiral and anti-chiral multiplets are real and supersymmetric actions are generally unbounded from below. Precisely as in the Minkowski case, where one has different formulations of Poincar\'e supergravity by introducing different compensating supermultiplets, one can also obtain different versions of Euclidean supergravity.
|
2105.07572
|
Yasha Neiman
|
Emil Albrychiewicz, Yasha Neiman and Mirian Tsulaia
|
MHV amplitudes and BCFW recursion for Yang-Mills theory in the de Sitter
static patch
|
40 pages, 3 figures; v2: JHEP version; expanded discussion,
references; v3: corrected the kinematics of reading off the final horizon
data
|
JHEP 09:176, 2021
|
10.1007/JHEP09(2021)176
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the scattering problem in the static patch of de Sitter space, i.e.
the problem of field evolution between the past and future horizons of a de
Sitter observer. We formulate the problem in terms of off-shell fields in
Poincare coordinates. This is especially convenient for conformal theories,
where the static patch can be viewed as a flat causal diamond, with one tip at
the origin and the other at timelike infinity. As an important example, we
consider Yang-Mills theory at tree level. We find that static-patch scattering
for Yang-Mills is subject to BCFW-like recursion relations. These can reduce
any static-patch amplitude to one with N^{-1}MHV helicity structure, dressed by
ordinary Minkowski amplitudes. We derive all the N^{-1}MHV static-patch
amplitudes from self-dual Yang-Mills field solutions. Using the recursion
relations, we then derive from these an infinite set of MHV amplitudes, with
arbitrary number of external legs.
|
[
{
"created": "Mon, 17 May 2021 01:41:58 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Sep 2021 22:51:42 GMT",
"version": "v2"
},
{
"created": "Sun, 10 Mar 2024 12:10:21 GMT",
"version": "v3"
}
] |
2024-03-12
|
[
[
"Albrychiewicz",
"Emil",
""
],
[
"Neiman",
"Yasha",
""
],
[
"Tsulaia",
"Mirian",
""
]
] |
We study the scattering problem in the static patch of de Sitter space, i.e. the problem of field evolution between the past and future horizons of a de Sitter observer. We formulate the problem in terms of off-shell fields in Poincare coordinates. This is especially convenient for conformal theories, where the static patch can be viewed as a flat causal diamond, with one tip at the origin and the other at timelike infinity. As an important example, we consider Yang-Mills theory at tree level. We find that static-patch scattering for Yang-Mills is subject to BCFW-like recursion relations. These can reduce any static-patch amplitude to one with N^{-1}MHV helicity structure, dressed by ordinary Minkowski amplitudes. We derive all the N^{-1}MHV static-patch amplitudes from self-dual Yang-Mills field solutions. Using the recursion relations, we then derive from these an infinite set of MHV amplitudes, with arbitrary number of external legs.
|
hep-th/0203120
|
Tony Gherghetta
|
Tony Gherghetta and Alex Pomarol
|
A Stuckelberg formalism for the gravitino from warped extra dimensions
|
10 pages, LaTeX
|
Phys.Lett.B536:277-282,2002
|
10.1016/S0370-2693(02)01874-9
|
UAB-TH-521
|
hep-th hep-ph
| null |
We consider supersymmetric theories with a warped extra dimension where
supersymmetry is broken by boundary conditions that preserve an R-symmetry. It
is shown that this supersymmetry breaking mechanism naturally invokes the
Stuckelberg formalism for the gravitino in order to give a four-dimensional
theory with a smooth massless limit.
|
[
{
"created": "Wed, 13 Mar 2002 17:16:01 GMT",
"version": "v1"
}
] |
2010-11-19
|
[
[
"Gherghetta",
"Tony",
""
],
[
"Pomarol",
"Alex",
""
]
] |
We consider supersymmetric theories with a warped extra dimension where supersymmetry is broken by boundary conditions that preserve an R-symmetry. It is shown that this supersymmetry breaking mechanism naturally invokes the Stuckelberg formalism for the gravitino in order to give a four-dimensional theory with a smooth massless limit.
|
hep-th/0112141
| null |
Alexios P. Polychronakos
|
Calogero-Moser models with noncommutative spin interactions
|
Version to appear in Phys. Rev. Lett
|
Phys.Rev.Lett. 89 (2002) 126403
|
10.1103/PhysRevLett.89.126403
|
RU-01-19-B
|
hep-th cond-mat math-ph math.MP math.QA nlin.SI
| null |
We construct integrable generalizations of the elliptic
Calogero-Sutherland-Moser model of particles with spin, involving
noncommutative spin interactions. The spin coupling potential is a modular
function and, generically, breaks the global spin symmetry of the model down to
a product of U(1) phase symmetries. Previously known models are recovered as
special cases.
|
[
{
"created": "Mon, 17 Dec 2001 09:32:43 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Jul 2002 19:59:59 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Jul 2002 20:13:09 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Polychronakos",
"Alexios P.",
""
]
] |
We construct integrable generalizations of the elliptic Calogero-Sutherland-Moser model of particles with spin, involving noncommutative spin interactions. The spin coupling potential is a modular function and, generically, breaks the global spin symmetry of the model down to a product of U(1) phase symmetries. Previously known models are recovered as special cases.
|
2012.02129
|
Dmitrii Trunin
|
Lianna A. Akopyan, Dmitrii A. Trunin
|
Dynamical Casimir effect in nonlinear vibrating cavities
|
26 pages + appendixes, 3 figures. v2: several amendments made, typos
corrected
|
Phys. Rev. D 103, 065005 (2021)
|
10.1103/PhysRevD.103.065005
| null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Nonlinear terms in the equations of motion can induce secularly growing loop
corrections to correlation functions. Recently such corrections were shown to
affect the particle production by a nonuniformly moving ideal mirror. We extend
this conclusion to the cases of ideal vibrating cavity and single
semitransparent mirror. These models provide natural IR and UV scales and allow
a more accurate study of the loop behavior. In both cases we confirm that
two-loop correction to the Keldysh propagator quadratically grows with time.
This growth indicates a breakdown of the semiclassical approximation and
emphasizes that bulk nonlinearities in the dynamical Casimir effect cannot be
neglected for large evolution times.
|
[
{
"created": "Thu, 3 Dec 2020 18:07:39 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Feb 2021 18:06:12 GMT",
"version": "v2"
}
] |
2021-03-12
|
[
[
"Akopyan",
"Lianna A.",
""
],
[
"Trunin",
"Dmitrii A.",
""
]
] |
Nonlinear terms in the equations of motion can induce secularly growing loop corrections to correlation functions. Recently such corrections were shown to affect the particle production by a nonuniformly moving ideal mirror. We extend this conclusion to the cases of ideal vibrating cavity and single semitransparent mirror. These models provide natural IR and UV scales and allow a more accurate study of the loop behavior. In both cases we confirm that two-loop correction to the Keldysh propagator quadratically grows with time. This growth indicates a breakdown of the semiclassical approximation and emphasizes that bulk nonlinearities in the dynamical Casimir effect cannot be neglected for large evolution times.
|
1410.8533
|
Shota Komatsu
|
Yoichi Kazama, Shota Komatsu and Takuya Nishimura
|
Novel construction and the monodromy relation for three-point functions
at weak coupling
|
35 pages;v2 Minor corrections made. An appendix and references
added;v3 Typos corrected
| null |
10.1007/JHEP01(2015)095
|
UT-Komaba 14-4
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this article, we shall develop and formulate two novel viewpoints and
properties concerning the three-point functions at weak coupling in the SU(2)
sector of the N = 4 super Yang-Mills theory. One is a double spin-chain
formulation of the spin-chain and the associated new interpretation of the
operation of Wick contraction. It will be regarded as a skew symmetric pairing
which acts as a projection onto a singlet in the entire SO(4) sector, instead
of an inner product in the spin-chain Hilbert space. This formalism allows us
to study a class of three-point functions of operators built upon more general
spin-chain vacua than the special configuration discussed so far in the
literature. Furthermore, this new viewpoint has the signicant advantage over
the conventional method: In the usual "tailoring" operation, the Wick
contraction produces inner products between off-shell Bethe states, which
cannot be in general converted into simple expressions. In contrast, our
procedure directly produces the so-called partial domain wall partition
functions, which can be expressed as determinants. Using this property, we
derive simple determinantal representation for a broader class of three-point
functions. The second new property uncovered in this work is the non-trivial
identity satisfied by the three-point functions with monodromy operators
inserted. Generically this relation connects three-point functions of different
operators and can be regarded as a kind of Schwinger-Dyson equation. In
particular, this identity reduces in the semiclassical limit to the triviality
of the product of local monodromies around the vertex operators, which played a
crucial role in providing all important global information on the three-point
function in the strong coupling regime. This structure may provide a key to the
understanding of the notion of "integrability" beyond the spectral level.
|
[
{
"created": "Thu, 30 Oct 2014 20:00:10 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Nov 2014 03:26:20 GMT",
"version": "v2"
},
{
"created": "Tue, 4 Aug 2015 16:08:42 GMT",
"version": "v3"
}
] |
2015-08-05
|
[
[
"Kazama",
"Yoichi",
""
],
[
"Komatsu",
"Shota",
""
],
[
"Nishimura",
"Takuya",
""
]
] |
In this article, we shall develop and formulate two novel viewpoints and properties concerning the three-point functions at weak coupling in the SU(2) sector of the N = 4 super Yang-Mills theory. One is a double spin-chain formulation of the spin-chain and the associated new interpretation of the operation of Wick contraction. It will be regarded as a skew symmetric pairing which acts as a projection onto a singlet in the entire SO(4) sector, instead of an inner product in the spin-chain Hilbert space. This formalism allows us to study a class of three-point functions of operators built upon more general spin-chain vacua than the special configuration discussed so far in the literature. Furthermore, this new viewpoint has the signicant advantage over the conventional method: In the usual "tailoring" operation, the Wick contraction produces inner products between off-shell Bethe states, which cannot be in general converted into simple expressions. In contrast, our procedure directly produces the so-called partial domain wall partition functions, which can be expressed as determinants. Using this property, we derive simple determinantal representation for a broader class of three-point functions. The second new property uncovered in this work is the non-trivial identity satisfied by the three-point functions with monodromy operators inserted. Generically this relation connects three-point functions of different operators and can be regarded as a kind of Schwinger-Dyson equation. In particular, this identity reduces in the semiclassical limit to the triviality of the product of local monodromies around the vertex operators, which played a crucial role in providing all important global information on the three-point function in the strong coupling regime. This structure may provide a key to the understanding of the notion of "integrability" beyond the spectral level.
|
1207.1208
|
Paul Richmond
|
Paul Richmond
|
Higher Derivative BLG: Lagrangian and Supersymmetry Transformations
|
23 pages
| null |
10.1007/JHEP09(2012)090
|
KCL-MTH-12-09
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Working to lowest non-trivial order in fermions, we consider the
four-derivative order corrected Lagrangian and supersymmetry transformations of
the Euclidean Bagger-Lambert-Gustavsson theory. By demonstrating supersymmetric
invariance of the Lagrangian we determine all numerical coefficients in the
system. In addition, the supersymmetry algebra is shown to close on the scalar
and gauge fields. We also comment on the extension to Lorentzian and other
non-Euclidean $\mathcal{N}=8$ 3-algebra theories.
|
[
{
"created": "Thu, 5 Jul 2012 10:01:39 GMT",
"version": "v1"
}
] |
2015-06-05
|
[
[
"Richmond",
"Paul",
""
]
] |
Working to lowest non-trivial order in fermions, we consider the four-derivative order corrected Lagrangian and supersymmetry transformations of the Euclidean Bagger-Lambert-Gustavsson theory. By demonstrating supersymmetric invariance of the Lagrangian we determine all numerical coefficients in the system. In addition, the supersymmetry algebra is shown to close on the scalar and gauge fields. We also comment on the extension to Lorentzian and other non-Euclidean $\mathcal{N}=8$ 3-algebra theories.
|
2107.12394
|
Pablo Bueno
|
Pablo Bueno, Horacio Casini, Oscar Lasso Andino and Javier Moreno
|
Disks globally maximize the entanglement entropy in $2+1$ dimensions
|
38 pages, 10 figures. v2: some new references, comments and improved
discussions added; matches version to appear in JHEP
| null |
10.1007/JHEP10(2021)179
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The entanglement entropy corresponding to a smooth region in general
three-dimensional CFTs contains a constant universal term, $-F \subset
S_{\text{EE}}$. For a disk region, $F|_{\rm disk}\equiv F_0$ coincides with the
free energy on $\mathbb{S}^3$ and provides an RG-monotone for general theories.
As opposed to the analogous quantity in four dimensions, the value of $F$
generally depends in a complicated (and non-local) way on the geometry of the
region and the theory under consideration. For small geometric deformations of
the disk in general CFTs as well as for arbitrary regions in holographic
theories, it has been argued that $F$ is precisely minimized by disks. Here, we
argue that $F$ is globally minimized by disks with respect to arbitrary regions
and for general theories. The proof makes use of the strong subadditivity of
entanglement entropy and the geometric fact that one can always place an
osculating circle within a given smooth entangling region. For topologically
non-trivial entangling regions with $n_B$ boundaries, the general bound can be
improved to $F \geq n_B F_0$. In addition, we provide accurate approximations
to $F$ valid for general CFTs in the case of elliptic regions for arbitrary
values of the eccentricity which we check against lattice calculations for free
fields. We also evaluate $F$ numerically for more general shapes in the
so-called "Extensive Mutual Information model", verifying the general bound.
|
[
{
"created": "Mon, 26 Jul 2021 18:00:04 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Oct 2021 13:16:56 GMT",
"version": "v2"
}
] |
2021-11-10
|
[
[
"Bueno",
"Pablo",
""
],
[
"Casini",
"Horacio",
""
],
[
"Andino",
"Oscar Lasso",
""
],
[
"Moreno",
"Javier",
""
]
] |
The entanglement entropy corresponding to a smooth region in general three-dimensional CFTs contains a constant universal term, $-F \subset S_{\text{EE}}$. For a disk region, $F|_{\rm disk}\equiv F_0$ coincides with the free energy on $\mathbb{S}^3$ and provides an RG-monotone for general theories. As opposed to the analogous quantity in four dimensions, the value of $F$ generally depends in a complicated (and non-local) way on the geometry of the region and the theory under consideration. For small geometric deformations of the disk in general CFTs as well as for arbitrary regions in holographic theories, it has been argued that $F$ is precisely minimized by disks. Here, we argue that $F$ is globally minimized by disks with respect to arbitrary regions and for general theories. The proof makes use of the strong subadditivity of entanglement entropy and the geometric fact that one can always place an osculating circle within a given smooth entangling region. For topologically non-trivial entangling regions with $n_B$ boundaries, the general bound can be improved to $F \geq n_B F_0$. In addition, we provide accurate approximations to $F$ valid for general CFTs in the case of elliptic regions for arbitrary values of the eccentricity which we check against lattice calculations for free fields. We also evaluate $F$ numerically for more general shapes in the so-called "Extensive Mutual Information model", verifying the general bound.
|
hep-th/9406210
| null |
A. Ghosh and P. Mitra (Saha Institute of Nuclear Physics)
|
Entropy for dilatonic black hole
|
13 pages (Applicability of area formula justified and a reference
added)
|
Phys. Rev. Lett. 73, 2521 (1994)
|
10.1103/PhysRevLett.73.2521
| null |
hep-th
| null |
The area formula for entropy is extended to the case of a dilatonic black
hole. The entropy of a scalar field in the background of such a black hole is
calculated semiclassically. The area and cutoff dependences are normal {\it
except in the extremal case}, where the area is zero but the entropy nonzero.
|
[
{
"created": "Thu, 30 Jun 1994 11:05:00 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Jul 1994 10:36:00 GMT",
"version": "v2"
}
] |
2013-11-13
|
[
[
"Ghosh",
"A.",
"",
"Saha Institute of Nuclear Physics"
],
[
"Mitra",
"P.",
"",
"Saha Institute of Nuclear Physics"
]
] |
The area formula for entropy is extended to the case of a dilatonic black hole. The entropy of a scalar field in the background of such a black hole is calculated semiclassically. The area and cutoff dependences are normal {\it except in the extremal case}, where the area is zero but the entropy nonzero.
|
1706.03911
|
Mir Mehedi Faruk
|
Shovon Biswas, Mir Mehedi Faruk
|
Quantum gravity effects in statistical mechanics with modified
dispersion relation
| null | null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Planck scale inspired theories which are also often accompanied with maximum
energy and/or momentum scale predict deformed dispersion relations compared to
ordinary special relativity and quantum mechanics. In this paper we resort to
the methods of statistical mechanics in order to determine the effects of a
deformed dispersion relation along with upper bound in partition function as
maximum energy and/or momentum scale can have on the thermodynamics of photon
gas. We have analyzed two distinct quantum gravity models in this paper
|
[
{
"created": "Tue, 13 Jun 2017 05:52:35 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Sep 2017 23:08:47 GMT",
"version": "v2"
}
] |
2017-09-20
|
[
[
"Biswas",
"Shovon",
""
],
[
"Faruk",
"Mir Mehedi",
""
]
] |
Planck scale inspired theories which are also often accompanied with maximum energy and/or momentum scale predict deformed dispersion relations compared to ordinary special relativity and quantum mechanics. In this paper we resort to the methods of statistical mechanics in order to determine the effects of a deformed dispersion relation along with upper bound in partition function as maximum energy and/or momentum scale can have on the thermodynamics of photon gas. We have analyzed two distinct quantum gravity models in this paper
|
1901.00993
|
Alexey Loginov
|
A.Yu. Loginov
|
A two-dimensional soliton system of vortex and Q-ball
|
7 pages with 5 figures
|
Phys. Lett. B 777 (2018) 340-345
|
10.1016/j.physletb.2017.12.054
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
The (2 + 1)-dimensional gauge model describing two complex scalar fields that
interact through a common Abelian gauge field is considered. It is shown that
the model has a soliton solution that describes a system consisting of a vortex
and a Q-ball. This two-dimensional system is electrically neutral, nevertheless
it possesses a nonzero electric field. Moreover, the soliton system has a
quantized magnetic flux and a nonzero angular momentum. Properties of this
vortex-Q-ball system are investigated by analytical and numerical methods. It
is found that the system combines properties of topological and nontopological
solitons.
|
[
{
"created": "Fri, 4 Jan 2019 06:32:00 GMT",
"version": "v1"
}
] |
2019-01-07
|
[
[
"Loginov",
"A. Yu.",
""
]
] |
The (2 + 1)-dimensional gauge model describing two complex scalar fields that interact through a common Abelian gauge field is considered. It is shown that the model has a soliton solution that describes a system consisting of a vortex and a Q-ball. This two-dimensional system is electrically neutral, nevertheless it possesses a nonzero electric field. Moreover, the soliton system has a quantized magnetic flux and a nonzero angular momentum. Properties of this vortex-Q-ball system are investigated by analytical and numerical methods. It is found that the system combines properties of topological and nontopological solitons.
|
0704.0101
|
Paolo Di Vecchia pdv
|
Paolo Di Vecchia
|
The birth of string theory
|
Latex 60 pages, 2 figures, uses svmult.cls. Contribution to the
volume "String theory and fundamental interactions", dedicated to Gabriele
Veneziano on his 65th birthday.
|
Lect.NotesPhys.737:59-118,2008
| null |
NORDITA-2007-13
|
hep-th
| null |
In this contribution we go through the developments that in the years 1968 to
1974 led from the Veneziano model to the bosonic string.
|
[
{
"created": "Sun, 1 Apr 2007 19:30:02 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Di Vecchia",
"Paolo",
""
]
] |
In this contribution we go through the developments that in the years 1968 to 1974 led from the Veneziano model to the bosonic string.
|
1309.1793
|
Guilherme Pimentel
|
Guilherme L. Pimentel
|
Inflationary Consistency Conditions from a Wavefunctional Perspective
|
24 pages, v2: more references added, v3: published version
| null |
10.1007/JHEP02(2014)124
|
PUPT-2452
|
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is shown that the squeezed limit of inflationary expectation values
follows from reparametrization invariance of the wavefunction of the universe.
This translates into a constraint on the longitudinal modes of functional
derivatives of the wavefunction. Thus, the local non-Gaussianity induced by
single field inflation is purely a gauge artifact, and should not yield a
physically measurable effect. We focus on Einstein gravity in de Sitter space
and single field inflation, although the formalism only relies on the
diffeomorphism invariance of the theory, and thus applies to any theory of
gravity.
|
[
{
"created": "Fri, 6 Sep 2013 23:01:53 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Sep 2013 16:54:38 GMT",
"version": "v2"
},
{
"created": "Sat, 24 Mar 2018 22:19:00 GMT",
"version": "v3"
}
] |
2018-03-28
|
[
[
"Pimentel",
"Guilherme L.",
""
]
] |
It is shown that the squeezed limit of inflationary expectation values follows from reparametrization invariance of the wavefunction of the universe. This translates into a constraint on the longitudinal modes of functional derivatives of the wavefunction. Thus, the local non-Gaussianity induced by single field inflation is purely a gauge artifact, and should not yield a physically measurable effect. We focus on Einstein gravity in de Sitter space and single field inflation, although the formalism only relies on the diffeomorphism invariance of the theory, and thus applies to any theory of gravity.
|
2012.07821
|
Marija Tomasevic
|
Roberto Emparan, Brianna Grado-White, Donald Marolf and Marija
Tomasevic
|
Multi-mouth Traversable Wormholes
|
24 pages, 8 figures. v2: 28 pages; added a section and an appendix on
lowering a small black hole down the wormhole throat
|
JHEP 05 (2021) 032
|
10.1007/JHEP05(2021)032
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe the construction of traversable wormholes with multiple mouths in
four spacetime dimensions and discuss associated quantum entanglement. Our
wormholes may be traversed between any pair of mouths. In particular, in the
three-mouth case they have fundamental group $F_2$ (the free group on two
generators). By contrast, connecting three regions $A,B,C$ in pairs ($AB$,
$BC$, and $AC$) using three separate wormholes would give fundamental group
$F_3$. Our solutions are asymptotically flat up to the presence of possible
magnetic fluxes or cosmic strings that extend to infinity. The construction
begins with a two-mouth traversable wormhole supported by backreaction from
quantum fields. Inserting a sufficiently small black hole into its throat
preserves traversability between the original two mouths. This black hole is
taken to be the mouth of another wormhole connecting the original throat to a
new distant region of spacetime. Making the new wormhole traversable in a
manner similar to the original two-mouth wormhole provides the desired causal
connections. From a dual field theory point of view, when AdS asymptotics are
added to our construction, multiparty entanglement may play an important role
in the traversability of the resulting wormhole.
|
[
{
"created": "Mon, 14 Dec 2020 18:54:45 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Apr 2021 11:46:54 GMT",
"version": "v2"
}
] |
2022-03-07
|
[
[
"Emparan",
"Roberto",
""
],
[
"Grado-White",
"Brianna",
""
],
[
"Marolf",
"Donald",
""
],
[
"Tomasevic",
"Marija",
""
]
] |
We describe the construction of traversable wormholes with multiple mouths in four spacetime dimensions and discuss associated quantum entanglement. Our wormholes may be traversed between any pair of mouths. In particular, in the three-mouth case they have fundamental group $F_2$ (the free group on two generators). By contrast, connecting three regions $A,B,C$ in pairs ($AB$, $BC$, and $AC$) using three separate wormholes would give fundamental group $F_3$. Our solutions are asymptotically flat up to the presence of possible magnetic fluxes or cosmic strings that extend to infinity. The construction begins with a two-mouth traversable wormhole supported by backreaction from quantum fields. Inserting a sufficiently small black hole into its throat preserves traversability between the original two mouths. This black hole is taken to be the mouth of another wormhole connecting the original throat to a new distant region of spacetime. Making the new wormhole traversable in a manner similar to the original two-mouth wormhole provides the desired causal connections. From a dual field theory point of view, when AdS asymptotics are added to our construction, multiparty entanglement may play an important role in the traversability of the resulting wormhole.
|
0806.1942
|
Carlo Iazeolla
|
Carlo Iazeolla, Per Sundell
|
A Fiber Approach to Harmonic Analysis of Unfolded Higher-Spin Field
Equations
|
80 pages, 2 figures. Minor changes: typos corrected, two footnotes
and references added. To be published in JHEP
| null |
10.1088/1126-6708/2008/10/022
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In Vasiliev's unfolded formulation of higher-spin dynamics the standard
fields are embedded on-shell into covariantly constant master fields valued in
Lorentz-covariant slices of the star-product algebra A of functions on the
singleton phase space. Correspondingly, the harmonic expansion is taken over
compact slices of A that are unitarizable in a rescaled trace-norm rather than
the standard Killing norm. Motivated by the higher-derivative nature of the
theory, we examine indecomposable unitarizable Harish-Chandra modules
consisting of standard massless particles plus linearized runaway solutions.
This extension arises naturally in the above fiber approach upon realizing
compact-weight states as non-polynomial analytic functions in A.
|
[
{
"created": "Wed, 11 Jun 2008 19:37:54 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Sep 2008 14:35:46 GMT",
"version": "v2"
}
] |
2009-11-13
|
[
[
"Iazeolla",
"Carlo",
""
],
[
"Sundell",
"Per",
""
]
] |
In Vasiliev's unfolded formulation of higher-spin dynamics the standard fields are embedded on-shell into covariantly constant master fields valued in Lorentz-covariant slices of the star-product algebra A of functions on the singleton phase space. Correspondingly, the harmonic expansion is taken over compact slices of A that are unitarizable in a rescaled trace-norm rather than the standard Killing norm. Motivated by the higher-derivative nature of the theory, we examine indecomposable unitarizable Harish-Chandra modules consisting of standard massless particles plus linearized runaway solutions. This extension arises naturally in the above fiber approach upon realizing compact-weight states as non-polynomial analytic functions in A.
|
1912.02912
|
Gustavo Brito
|
G.P. de Brito, J.M. Hoff da Silva, V. Nikoofard
|
Mass dimension one fermions at 1-loop
|
Submitted for publication at European Physical Journal - Special
Topics. Invited contribution to the special issue on "Elko and Mass Dimension
one fermions"
| null |
10.1140/epjst/e2020-900272-4
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate 1-loop contributions to the 2- and 4-point correlation
functions within a theory for fermions with mass dimension one with a simple
quartic self-interaction term. The 1-loop divergence appearing the self-energy
function can be consistently absorbed by renormalization of the mass parameter.
In the case of the (1PI) 4-point correlation function, there is a surprising
cancellation of divergences coming from different diagrams, leading to a finite
1-loop result. The inclusion of a complete basis of four-fermion interactions
is discussed.
|
[
{
"created": "Thu, 5 Dec 2019 22:58:57 GMT",
"version": "v1"
}
] |
2020-10-28
|
[
[
"de Brito",
"G. P.",
""
],
[
"da Silva",
"J. M. Hoff",
""
],
[
"Nikoofard",
"V.",
""
]
] |
We investigate 1-loop contributions to the 2- and 4-point correlation functions within a theory for fermions with mass dimension one with a simple quartic self-interaction term. The 1-loop divergence appearing the self-energy function can be consistently absorbed by renormalization of the mass parameter. In the case of the (1PI) 4-point correlation function, there is a surprising cancellation of divergences coming from different diagrams, leading to a finite 1-loop result. The inclusion of a complete basis of four-fermion interactions is discussed.
|
2303.07367
|
Johanna N. Borissova
|
Johanna N. Borissova, Bianca Dittrich
|
Lorentzian quantum gravity via Pachner moves: one-loop evaluation
|
v2: section II.A added; matches published version
|
10.1007/JHEP09(2023)069
| null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Lorentzian quantum gravity is believed to cure the pathologies encountered in
Euclidean quantum gravity, such as the conformal factor problem. We show that
this is the case for the Lorentzian Regge path integral expanded around a flat
background. We illustrate how a subset of local changes of the triangulation,
so-called Pachner moves, allow to isolate the indefinite nature of the
gravitational action at the discrete level. The latter can be accounted for by
oppositely chosen deformed contours of integration. Moreover, we construct a
discretization-invariant local path integral measure for 3D Lorentzian Regge
calculus and point out obstructions in defining such a measure in 4D. We see
the work presented here as a first step towards establishing the existence of
the non-perturbative Lorentzian path integral for Regge calculus and related
frameworks such as spin foams.
An extensive appendix provides an overview of Lorentzian Regge calculus,
using the recently introduced concept of the complexified Regge action, and
derives useful geometric formulae and identities needed in the main text.
|
[
{
"created": "Mon, 13 Mar 2023 18:00:03 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Nov 2023 19:41:54 GMT",
"version": "v2"
}
] |
2023-11-07
|
[
[
"Borissova",
"Johanna N.",
""
],
[
"Dittrich",
"Bianca",
""
]
] |
Lorentzian quantum gravity is believed to cure the pathologies encountered in Euclidean quantum gravity, such as the conformal factor problem. We show that this is the case for the Lorentzian Regge path integral expanded around a flat background. We illustrate how a subset of local changes of the triangulation, so-called Pachner moves, allow to isolate the indefinite nature of the gravitational action at the discrete level. The latter can be accounted for by oppositely chosen deformed contours of integration. Moreover, we construct a discretization-invariant local path integral measure for 3D Lorentzian Regge calculus and point out obstructions in defining such a measure in 4D. We see the work presented here as a first step towards establishing the existence of the non-perturbative Lorentzian path integral for Regge calculus and related frameworks such as spin foams. An extensive appendix provides an overview of Lorentzian Regge calculus, using the recently introduced concept of the complexified Regge action, and derives useful geometric formulae and identities needed in the main text.
|
1407.0076
|
Jan Ambjorn
|
J. Ambjorn, Sh. Khachatryan and A. Sedrakyan
|
A matrix model for strings beyond the c=1 barrier: the spin-s Heisenberg
model on random surfaces
|
18 pages, 6 figures. arXiv admin note: substantial text overlap with
arXiv:1304.6903
|
Phys. Rev. D 92, 026002 (2015)
|
10.1103/PhysRevD.92.026002
| null |
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a spin-s Heisenberg model coupled to two-dimensional quantum
gravity. We quantize the model using the Feynman path integral, summing over
all possible two-dimensional geometries and spin configurations. We regularize
this path integral by starting with the R-matrices defining the spin-s
Heisenberg model on a regular 2d Manhattan lattice. 2d quantum gravity is
included by defining the R-matrices on random Manhattan lattices and summing
over these, in the same way as one sums over 2d geometries using random
triangulations in non-critical string theory. We formulate a random matrix
model where the partition function reproduces the annealed average of the
spin-s Heisenberg model over all random Manhattan lattices. A technique is
presented which reduces the random matrix integration in partition function to
an integration over their eigenvalues.
|
[
{
"created": "Mon, 30 Jun 2014 23:04:55 GMT",
"version": "v1"
}
] |
2015-07-15
|
[
[
"Ambjorn",
"J.",
""
],
[
"Khachatryan",
"Sh.",
""
],
[
"Sedrakyan",
"A.",
""
]
] |
We consider a spin-s Heisenberg model coupled to two-dimensional quantum gravity. We quantize the model using the Feynman path integral, summing over all possible two-dimensional geometries and spin configurations. We regularize this path integral by starting with the R-matrices defining the spin-s Heisenberg model on a regular 2d Manhattan lattice. 2d quantum gravity is included by defining the R-matrices on random Manhattan lattices and summing over these, in the same way as one sums over 2d geometries using random triangulations in non-critical string theory. We formulate a random matrix model where the partition function reproduces the annealed average of the spin-s Heisenberg model over all random Manhattan lattices. A technique is presented which reduces the random matrix integration in partition function to an integration over their eigenvalues.
|
1706.02038
|
Netta Engelhardt
|
Netta Engelhardt and Aron C. Wall
|
Decoding the Apparent Horizon: A Coarse-Grained Holographic Entropy
|
4+1 pages, 2 figures; v4: typos fixed in equation (15)
|
Phys. Rev. Lett. 121, 211301 (2018)
|
10.1103/PhysRevLett.121.211301
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
When a black hole forms from collapse in a holographic theory, the
information in the black hole interior remains encoded in the boundary. We
prove that the area of the black hole's apparent horizon is precisely the
entropy associated to coarse graining over the information in its interior,
subject to knowing the exterior geometry. This is the maximum holographic
entanglement entropy that is compatible with all classical measurements
conducted outside of the apparent horizon. We identify the boundary dual to
this entropy and explain why it obeys a Second Law of Thermodynamics.
|
[
{
"created": "Wed, 7 Jun 2017 03:40:00 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Jul 2017 11:41:45 GMT",
"version": "v2"
},
{
"created": "Wed, 18 Oct 2017 20:46:53 GMT",
"version": "v3"
},
{
"created": "Thu, 4 Jul 2019 13:07:38 GMT",
"version": "v4"
}
] |
2019-07-05
|
[
[
"Engelhardt",
"Netta",
""
],
[
"Wall",
"Aron C.",
""
]
] |
When a black hole forms from collapse in a holographic theory, the information in the black hole interior remains encoded in the boundary. We prove that the area of the black hole's apparent horizon is precisely the entropy associated to coarse graining over the information in its interior, subject to knowing the exterior geometry. This is the maximum holographic entanglement entropy that is compatible with all classical measurements conducted outside of the apparent horizon. We identify the boundary dual to this entropy and explain why it obeys a Second Law of Thermodynamics.
|
2101.12692
|
Azad Inshalla oglu Ahmadov
|
A. I. Ahmadov, S. M. Aslanova, M. Sh. Orujova, S. V. Badalov
|
Analytical bound-state solutions of the Klein-Fock-Gordon equation for
the sum of Hulth\'en and Yukawa potential within SUSY quantum mechanics
|
13 pages, 1 figure
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The relativistic wave equations determine the dynamics of quantum fields in
the context of quantum field theory. One of the conventional tools for dealing
with the relativistic bound-state problem is the Klein-Fock-Gordon equation. In
this work, using a developed scheme, we present how to surmount the centrifugal
part and solve the modified Klein-Fock-Gordon equation for the linear
combination of Hulth\'en and Yukawa potentials. In particular, we show that the
relativistic energy eigenvalues and corresponding radial wave functions are
obtained from supersymmetric quantum mechanics by applying the shape invariance
concept. Here, both scalar potential conditions, which are whether equal and
non-equal to vector potential, are considered in the calculation. The energy
levels and corresponding normalized eigenfunctions are represented as a
recursion relation regarding the Jacobi polynomials for arbitrary $l$ states.
Beyond that, a closed-form of the normalization constant of the wave functions
is found. Furthermore, we state that the energy eigenvalues are quite sensitive
with potential parameters for the quantum states. The non-relativistic and
relativistic results obtained within SUSY QM overlap entirely with the results
obtained by ordinary quantum mechanics, and it displays that the mathematical
implementation of SUSY quantum mechanics is quite perfect.
|
[
{
"created": "Fri, 29 Jan 2021 17:23:13 GMT",
"version": "v1"
}
] |
2021-02-01
|
[
[
"Ahmadov",
"A. I.",
""
],
[
"Aslanova",
"S. M.",
""
],
[
"Orujova",
"M. Sh.",
""
],
[
"Badalov",
"S. V.",
""
]
] |
The relativistic wave equations determine the dynamics of quantum fields in the context of quantum field theory. One of the conventional tools for dealing with the relativistic bound-state problem is the Klein-Fock-Gordon equation. In this work, using a developed scheme, we present how to surmount the centrifugal part and solve the modified Klein-Fock-Gordon equation for the linear combination of Hulth\'en and Yukawa potentials. In particular, we show that the relativistic energy eigenvalues and corresponding radial wave functions are obtained from supersymmetric quantum mechanics by applying the shape invariance concept. Here, both scalar potential conditions, which are whether equal and non-equal to vector potential, are considered in the calculation. The energy levels and corresponding normalized eigenfunctions are represented as a recursion relation regarding the Jacobi polynomials for arbitrary $l$ states. Beyond that, a closed-form of the normalization constant of the wave functions is found. Furthermore, we state that the energy eigenvalues are quite sensitive with potential parameters for the quantum states. The non-relativistic and relativistic results obtained within SUSY QM overlap entirely with the results obtained by ordinary quantum mechanics, and it displays that the mathematical implementation of SUSY quantum mechanics is quite perfect.
|
hep-th/0311266
|
Jean Alexandre
|
Jean Alexandre
|
Non-renormalization for planar Wess-Zumino model
| null |
Phys.Lett. B594 (2004) 381
|
10.1016/j.physletb.2004.05.050
| null |
hep-th hep-ph
| null |
Using a non-perturbative functional method, where the quantum fluctuations
are gradually set up,it is shown that the interaction of a N=1 Wess-Zumino
model in 2+1 dimensions does not get renormalized. This result is valid in the
framework of the gradient expansion and aims at compensating the lack of
non-renormalization theorems.
|
[
{
"created": "Thu, 27 Nov 2003 15:18:36 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Alexandre",
"Jean",
""
]
] |
Using a non-perturbative functional method, where the quantum fluctuations are gradually set up,it is shown that the interaction of a N=1 Wess-Zumino model in 2+1 dimensions does not get renormalized. This result is valid in the framework of the gradient expansion and aims at compensating the lack of non-renormalization theorems.
|
1406.6286
|
Benoit Vicedo
|
Francois Delduc, Marc Magro, Benoit Vicedo
|
Derivation of the action and symmetries of the q-deformed AdS_5 x S^5
superstring
|
42 pages, 1 figure; v2: minor typos corrected and references added
| null |
10.1007/JHEP10(2014)132
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We recently proposed an integrable q-deformation of the AdS_5 x S^5
superstring action. Here we give details on the hamiltonian origin and
construction of this deformation. The procedure is a generalization of the one
previously developed for deforming principal chiral and symmetric space
sigma-models. We also show that the original psu(2,2|4) symmetry is replaced in
the deformed theory by a classical analog of the quantum group U_q(psu(2,2|4))
with q real. The relation between q and the deformation parameter entering the
action is given. The framework used to derive the deformation also enables to
prove that at the hamiltonian level, the "maximal deformation" limit
corresponds to an undeformed semi-symmetric space sigma-model with bosonic part
dS_5 x H^5. Finally, we discuss the various freedoms in the construction.
|
[
{
"created": "Tue, 24 Jun 2014 16:01:58 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Sep 2014 11:12:17 GMT",
"version": "v2"
}
] |
2015-06-22
|
[
[
"Delduc",
"Francois",
""
],
[
"Magro",
"Marc",
""
],
[
"Vicedo",
"Benoit",
""
]
] |
We recently proposed an integrable q-deformation of the AdS_5 x S^5 superstring action. Here we give details on the hamiltonian origin and construction of this deformation. The procedure is a generalization of the one previously developed for deforming principal chiral and symmetric space sigma-models. We also show that the original psu(2,2|4) symmetry is replaced in the deformed theory by a classical analog of the quantum group U_q(psu(2,2|4)) with q real. The relation between q and the deformation parameter entering the action is given. The framework used to derive the deformation also enables to prove that at the hamiltonian level, the "maximal deformation" limit corresponds to an undeformed semi-symmetric space sigma-model with bosonic part dS_5 x H^5. Finally, we discuss the various freedoms in the construction.
|
2401.03241
|
Stefan Prohazka
|
Jos\'e Miguel Figueroa-O'Farrill, Simon Pekar, Alfredo P\'erez, Stefan
Prohazka
|
Galilei particles revisited
|
32 pages, 1 figure
| null | null | null |
hep-th cond-mat.str-el math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We revisit the classifications of classical and quantum galilean particles:
that is, we fully classify homogeneous symplectic manifolds and unitary
irreducible projective representations of the Galilei group. Equivalently,
these are coadjoint orbits and unitary irreducible representations of the
Bargmann group, the universal central extension of the Galilei group. We
provide an action principle in each case, discuss the nonrelativistic limit, as
well as exhibit, whenever possible, the unitary irreducible representations in
terms of fields on Galilei spacetime. Motivated by a forthcoming study of
planons we pay close attention to the mobility of the less familiar massless
Galilei particles.
|
[
{
"created": "Sat, 6 Jan 2024 15:48:10 GMT",
"version": "v1"
}
] |
2024-01-09
|
[
[
"Figueroa-O'Farrill",
"José Miguel",
""
],
[
"Pekar",
"Simon",
""
],
[
"Pérez",
"Alfredo",
""
],
[
"Prohazka",
"Stefan",
""
]
] |
We revisit the classifications of classical and quantum galilean particles: that is, we fully classify homogeneous symplectic manifolds and unitary irreducible projective representations of the Galilei group. Equivalently, these are coadjoint orbits and unitary irreducible representations of the Bargmann group, the universal central extension of the Galilei group. We provide an action principle in each case, discuss the nonrelativistic limit, as well as exhibit, whenever possible, the unitary irreducible representations in terms of fields on Galilei spacetime. Motivated by a forthcoming study of planons we pay close attention to the mobility of the less familiar massless Galilei particles.
|
1911.05474
|
Grzegorz Plewa
|
Grzegorz Plewa
|
Quantum origin of the Minkowski space
|
typos corrected
|
Journal of Physics A: Mathematical and Theoretical, 2020
|
10.1088/1751-8121/ab7f0b
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that D=4 Minkowski space is an emergent concept related to a class of
operators in extended Hilbert space with no positive-definite scalar product.
We start with the idea of position-like and momentum-like operators (Plewa 2019
J. Phys. A: Math. Theor. 52 375401), introduced discussing a connection between
quantum entanglement and geometry predicted by ER=EPR conjecture. We examine
eigenequations of the simplest operators and identify D=4 Minkowski space as to
be spanned by normalized eigenvectors corresponding to the zero eigenvalue.
Both spacetime dimension and signature of the metric are fixed by the
regularization procedure. We generalize the result to the case of more general
operators, being analogues to quantum fields. We reproduce the Minkowski space
again, however, now in a holographic way, as being identified with the
conformal boundary of $AdS_5$. We observe an interesting analogy to string
theory and, in particular, to AdS/CFT correspondence.
|
[
{
"created": "Wed, 13 Nov 2019 14:08:28 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Mar 2020 14:08:18 GMT",
"version": "v2"
},
{
"created": "Thu, 30 Apr 2020 15:06:55 GMT",
"version": "v3"
}
] |
2020-05-01
|
[
[
"Plewa",
"Grzegorz",
""
]
] |
We show that D=4 Minkowski space is an emergent concept related to a class of operators in extended Hilbert space with no positive-definite scalar product. We start with the idea of position-like and momentum-like operators (Plewa 2019 J. Phys. A: Math. Theor. 52 375401), introduced discussing a connection between quantum entanglement and geometry predicted by ER=EPR conjecture. We examine eigenequations of the simplest operators and identify D=4 Minkowski space as to be spanned by normalized eigenvectors corresponding to the zero eigenvalue. Both spacetime dimension and signature of the metric are fixed by the regularization procedure. We generalize the result to the case of more general operators, being analogues to quantum fields. We reproduce the Minkowski space again, however, now in a holographic way, as being identified with the conformal boundary of $AdS_5$. We observe an interesting analogy to string theory and, in particular, to AdS/CFT correspondence.
|
1501.06527
|
Jochen Zahn
|
Jochen Zahn
|
The current density in quantum electrodynamics in time-dependent
external potentials and the Schwinger effect
|
15 pages, 4 figures; v3: Discussion more detailed, interpretation of
the results modified, v4: Final version
|
J. Phys. A 48, No. 47 (2015) 475402
|
10.1088/1751-8113/48/47/475402
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the framework of quantum electrodynamics (QED) in external potentials, we
introduce a method to compute the time-dependence of the expectation value of
the current density for time-dependent homogeneous external electric fields. We
apply it to the so-called Sauter pulse. For late times, our results agree with
the asymptotic value due to electron-positron pair production. We correct, and
compare to, a general expression derived by Serber for the linearization in the
external field. Based on the properties of the current density, we argue that
the appearance of enhanced quasi-particle densities at intermediate times in
slowly varying sub-critical potentials is generic. Also an alternative
approach, which circumvents these difficulties, is sketched.
|
[
{
"created": "Mon, 26 Jan 2015 19:12:06 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Feb 2015 19:10:11 GMT",
"version": "v2"
},
{
"created": "Mon, 13 Apr 2015 07:31:10 GMT",
"version": "v3"
},
{
"created": "Wed, 28 Oct 2015 07:53:28 GMT",
"version": "v4"
}
] |
2015-10-29
|
[
[
"Zahn",
"Jochen",
""
]
] |
In the framework of quantum electrodynamics (QED) in external potentials, we introduce a method to compute the time-dependence of the expectation value of the current density for time-dependent homogeneous external electric fields. We apply it to the so-called Sauter pulse. For late times, our results agree with the asymptotic value due to electron-positron pair production. We correct, and compare to, a general expression derived by Serber for the linearization in the external field. Based on the properties of the current density, we argue that the appearance of enhanced quasi-particle densities at intermediate times in slowly varying sub-critical potentials is generic. Also an alternative approach, which circumvents these difficulties, is sketched.
|
2301.08717
|
Mir Mehedi Faruk
|
Shahnewaz Ahmed, Mir Mehedi Faruk, Muktadir Rahman
|
Accelerated paths and Unruh effect II: finite time detector response in
(Anti) de Sitter spacetime and Huygen's Principle
| null |
Eur. Phys. J. C 83, 1087 (2023)
|
10.1140/epjc/s10052-023-12245-9
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the finite time response of an Unruh-DeWitt particle detector
described by a qubit (two-level system) moving with uniform constant
acceleration in maximally symmetric spacetimes. The $D$ dimensional massless
fermionic response function in de Sitter (dS) background is found to be
identical to that of a detector linearly coupled to a massless scalar field in
$2D$ dimensional dS background. Furthermore, we visit the status of Huygen's
principle in the Unruh radiation observed by the detector.
|
[
{
"created": "Fri, 20 Jan 2023 18:27:31 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Apr 2023 16:40:56 GMT",
"version": "v2"
}
] |
2023-12-04
|
[
[
"Ahmed",
"Shahnewaz",
""
],
[
"Faruk",
"Mir Mehedi",
""
],
[
"Rahman",
"Muktadir",
""
]
] |
We study the finite time response of an Unruh-DeWitt particle detector described by a qubit (two-level system) moving with uniform constant acceleration in maximally symmetric spacetimes. The $D$ dimensional massless fermionic response function in de Sitter (dS) background is found to be identical to that of a detector linearly coupled to a massless scalar field in $2D$ dimensional dS background. Furthermore, we visit the status of Huygen's principle in the Unruh radiation observed by the detector.
|
hep-th/9910166
|
DaeKil Park
|
D.K. Park, H. J. W. M\"uller-Kirsten, J.Q. Liang
|
Winding number transitions at finite temperature in the Abelian-Higgs
model
|
final version, to appear in J. Phys. G
|
J.Phys.G26:1515-1526,2000
|
10.1088/0954-3899/26/10/307
| null |
hep-th
| null |
Following our earlier investigations we examine the quantum-classical winding
number transition in the Abelian-Higgs system. It is demonstrated that the
sphaleron transition in this system is of the smooth second order type in the
full range of parameter space. Comparison of the action of classical vortices
with that of the sphaleron supports our finding.
|
[
{
"created": "Thu, 21 Oct 1999 09:13:14 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Mar 2000 09:57:28 GMT",
"version": "v2"
},
{
"created": "Thu, 17 Aug 2000 19:17:11 GMT",
"version": "v3"
}
] |
2016-08-15
|
[
[
"Park",
"D. K.",
""
],
[
"Müller-Kirsten",
"H. J. W.",
""
],
[
"Liang",
"J. Q.",
""
]
] |
Following our earlier investigations we examine the quantum-classical winding number transition in the Abelian-Higgs system. It is demonstrated that the sphaleron transition in this system is of the smooth second order type in the full range of parameter space. Comparison of the action of classical vortices with that of the sphaleron supports our finding.
|
1612.07323
|
Matthew Lippert
|
Niko Jokela, Matti Jarvinen, Matthew Lippert
|
Holographic sliding stripes
|
37 pages, 8 figures; v2: minor clarifications, published version
|
Phys. Rev. D 95, 086006 (2017)
|
10.1103/PhysRevD.95.086006
|
HIP-2016-40/TH
|
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Holographic models provide unique laboratories to investigate non-linear
physics of transport in inhomogeneous systems. We provide a detailed account of
both DC and AC conductivities in a defect CFT with spontaneous stripe order.
The spatial symmetry is broken at large chemical potential and the resulting
ground state is a combination of a spin and charge density wave. An
infinitesimal applied electric field across the stripes will cause the stripes
to slide over the underlying density of smeared impurities, a phenomenon which
can be associated with the Goldstone mode for the spontaneously broken
translation symmetry. We show that the presence of a spatially modulated
background magnetization current thwarts the expression of some DC
conductivities in terms of horizon data.
|
[
{
"created": "Wed, 21 Dec 2016 21:00:02 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Mar 2017 02:01:35 GMT",
"version": "v2"
}
] |
2017-04-19
|
[
[
"Jokela",
"Niko",
""
],
[
"Jarvinen",
"Matti",
""
],
[
"Lippert",
"Matthew",
""
]
] |
Holographic models provide unique laboratories to investigate non-linear physics of transport in inhomogeneous systems. We provide a detailed account of both DC and AC conductivities in a defect CFT with spontaneous stripe order. The spatial symmetry is broken at large chemical potential and the resulting ground state is a combination of a spin and charge density wave. An infinitesimal applied electric field across the stripes will cause the stripes to slide over the underlying density of smeared impurities, a phenomenon which can be associated with the Goldstone mode for the spontaneously broken translation symmetry. We show that the presence of a spatially modulated background magnetization current thwarts the expression of some DC conductivities in terms of horizon data.
|
1208.4074
|
Sameer Murthy
|
Atish Dabholkar, Sameer Murthy, Don Zagier
|
Quantum Black Holes, Wall Crossing, and Mock Modular Forms
|
151 pages, 1 figure. v2: typos corrected, table added, references
added
| null | null | null |
hep-th math.NT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the meromorphic Jacobi form that counts the quarter-BPS states
in N=4 string theories can be canonically decomposed as a sum of a mock Jacobi
form and an Appell-Lerch sum. The quantum degeneracies of single-centered black
holes are Fourier coefficients of this mock Jacobi form, while the Appell-Lerch
sum captures the degeneracies of multi-centered black holes which decay upon
wall-crossing. The completion of the mock Jacobi form restores the modular
symmetries expected from $AdS_3/CFT_2$ holography but has a holomorphic anomaly
reflecting the non-compactness of the microscopic CFT. For every positive
integral value m of the magnetic charge invariant of the black hole, our
analysis leads to a special mock Jacobi form of weight two and index m, which
we characterize uniquely up to a Jacobi cusp form. This family of special forms
and another closely related family of weight-one forms contain almost all the
known mock modular forms including the mock theta functions of Ramanujan, the
generating function of Hurwitz-Kronecker class numbers, the mock modular forms
appearing in the Mathieu and Umbral moonshine, as well as an infinite number of
new examples.
|
[
{
"created": "Mon, 20 Aug 2012 18:07:19 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Apr 2014 12:46:17 GMT",
"version": "v2"
}
] |
2014-04-04
|
[
[
"Dabholkar",
"Atish",
""
],
[
"Murthy",
"Sameer",
""
],
[
"Zagier",
"Don",
""
]
] |
We show that the meromorphic Jacobi form that counts the quarter-BPS states in N=4 string theories can be canonically decomposed as a sum of a mock Jacobi form and an Appell-Lerch sum. The quantum degeneracies of single-centered black holes are Fourier coefficients of this mock Jacobi form, while the Appell-Lerch sum captures the degeneracies of multi-centered black holes which decay upon wall-crossing. The completion of the mock Jacobi form restores the modular symmetries expected from $AdS_3/CFT_2$ holography but has a holomorphic anomaly reflecting the non-compactness of the microscopic CFT. For every positive integral value m of the magnetic charge invariant of the black hole, our analysis leads to a special mock Jacobi form of weight two and index m, which we characterize uniquely up to a Jacobi cusp form. This family of special forms and another closely related family of weight-one forms contain almost all the known mock modular forms including the mock theta functions of Ramanujan, the generating function of Hurwitz-Kronecker class numbers, the mock modular forms appearing in the Mathieu and Umbral moonshine, as well as an infinite number of new examples.
|
1506.02209
|
Paul Chesler
|
Paul M. Chesler
|
Colliding shock waves and hydrodynamics in small systems
|
6 pages, 3 figures. Typos corrected, minor improvements, published
version
|
Phys. Rev. Lett. 115, 241602 (2015)
|
10.1103/PhysRevLett.115.241602
| null |
hep-th gr-qc hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using numerical holography, we study the collision of a planar sheet of
energy with a bounded localized distribution of energy. The collision, which
mimics proton-nucleus collisions, produces a localized lump of debris with
transverse size $R \sim 1/T_{\rm eff}$ with $T_{\rm eff}$ the effective
temperature, and has large gradients and large transverse flow. Nevertheless,
the postcollision evolution is well described by viscous hydrodynamics. Our
results bolster the notion that debris produced in proton-nucleus collisions
may be modeled using hydrodynamics.
|
[
{
"created": "Sun, 7 Jun 2015 02:13:04 GMT",
"version": "v1"
},
{
"created": "Sun, 13 Dec 2015 22:34:56 GMT",
"version": "v2"
},
{
"created": "Tue, 15 Dec 2015 01:51:06 GMT",
"version": "v3"
}
] |
2015-12-16
|
[
[
"Chesler",
"Paul M.",
""
]
] |
Using numerical holography, we study the collision of a planar sheet of energy with a bounded localized distribution of energy. The collision, which mimics proton-nucleus collisions, produces a localized lump of debris with transverse size $R \sim 1/T_{\rm eff}$ with $T_{\rm eff}$ the effective temperature, and has large gradients and large transverse flow. Nevertheless, the postcollision evolution is well described by viscous hydrodynamics. Our results bolster the notion that debris produced in proton-nucleus collisions may be modeled using hydrodynamics.
|
1910.14053
|
Tom Rudelius
|
Ben Heidenreich, Cody Long, Liam McAllister, Tom Rudelius, and John
Stout
|
Instanton Resummation and the Weak Gravity Conjecture
|
42 pages, 6 figures
| null |
10.1007/JHEP11(2020)166
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop methods for resummation of instanton lattice series. Using these
tools, we investigate the consequences of the Weak Gravity Conjecture for
large-field axion inflation. We find that the Sublattice Weak Gravity
Conjecture implies a constraint on the volume of the axion fundamental domain.
However, we also identify conditions under which alignment and clockwork
constructions, and a new variant of N-flation that we devise, can evade this
constraint. We conclude that some classes of low-energy effective theories of
large-field axion inflation are consistent with the strongest proposed form of
the Weak Gravity Conjecture, while others are not.
|
[
{
"created": "Wed, 30 Oct 2019 18:00:11 GMT",
"version": "v1"
}
] |
2020-12-30
|
[
[
"Heidenreich",
"Ben",
""
],
[
"Long",
"Cody",
""
],
[
"McAllister",
"Liam",
""
],
[
"Rudelius",
"Tom",
""
],
[
"Stout",
"John",
""
]
] |
We develop methods for resummation of instanton lattice series. Using these tools, we investigate the consequences of the Weak Gravity Conjecture for large-field axion inflation. We find that the Sublattice Weak Gravity Conjecture implies a constraint on the volume of the axion fundamental domain. However, we also identify conditions under which alignment and clockwork constructions, and a new variant of N-flation that we devise, can evade this constraint. We conclude that some classes of low-energy effective theories of large-field axion inflation are consistent with the strongest proposed form of the Weak Gravity Conjecture, while others are not.
|
2112.05099
|
Nima Lashkari
|
Keiichiro Furuya, Nima Lashkari, Mudassir Moosa
|
Renormalization group and approximate error correction
| null |
Phys. Rev. D 106 (2022) 105007
|
10.1103/PhysRevD.106.105007
| null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In renormalization group (RG) flow, the low energy states form a code
subspace that is approximately protected against the local short-distance
errors. We motivate this connection with an example of spin-blocking RG in
classical spin models. We consider the continuous multi-scale renormalization
ansatz (cMERA) for massive free fields as a concrete example of real-space RG
in quantum field theory (QFT) and show that the low-energy coherent states are
approximately protected from the errors caused by the high-energy localized
coherent operators. In holographic RG flows, we study the phase transition in
the entanglement wedge of a single region and argue that one needs to define
the price and the distance of the code with respect to the reconstructable
wedge.
|
[
{
"created": "Thu, 9 Dec 2021 18:38:07 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Feb 2022 15:43:45 GMT",
"version": "v2"
},
{
"created": "Tue, 26 Apr 2022 13:00:48 GMT",
"version": "v3"
}
] |
2022-11-16
|
[
[
"Furuya",
"Keiichiro",
""
],
[
"Lashkari",
"Nima",
""
],
[
"Moosa",
"Mudassir",
""
]
] |
In renormalization group (RG) flow, the low energy states form a code subspace that is approximately protected against the local short-distance errors. We motivate this connection with an example of spin-blocking RG in classical spin models. We consider the continuous multi-scale renormalization ansatz (cMERA) for massive free fields as a concrete example of real-space RG in quantum field theory (QFT) and show that the low-energy coherent states are approximately protected from the errors caused by the high-energy localized coherent operators. In holographic RG flows, we study the phase transition in the entanglement wedge of a single region and argue that one needs to define the price and the distance of the code with respect to the reconstructable wedge.
|
0812.1644
|
Marek Rogatko
|
Marek Rogatko and Agnieszka Szyp lowska
|
Evolution of Massive Scalar Fields in the Spacetime of a Tense Brane
Black Hole
|
17 pages, 10 figures, RevTex, to be published in Gen.Rel.Grav
|
Gen.Rel.Grav.41:1611-1623,2009
|
10.1007/s10714-008-0732-3
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the spacetime of a $d$-dimensional static tense brane black hole we
elaborate the mechanism by which massive scalar fields decay. The metric of a
six-dimensional black hole pierced by a topological defect is especially
interesting. It corresponds to a black hole residing on a tensional 3-brane
embedded in a six-dimensional spacetime, and this solution has gained
importance due to the planned accelerator experiments. It happened that the
intermediate asymptotic behaviour of the fields in question was determined by
an oscillatory inverse power-law. We confirm our investigations by numerical
calculations for five- and six-dimensional cases. It turned out that the
greater the brane tension is, the faster massive scalar fields decay in the
considered spacetimes.
|
[
{
"created": "Tue, 9 Dec 2008 10:01:21 GMT",
"version": "v1"
}
] |
2009-07-22
|
[
[
"Rogatko",
"Marek",
""
],
[
"lowska",
"Agnieszka Szyp",
""
]
] |
In the spacetime of a $d$-dimensional static tense brane black hole we elaborate the mechanism by which massive scalar fields decay. The metric of a six-dimensional black hole pierced by a topological defect is especially interesting. It corresponds to a black hole residing on a tensional 3-brane embedded in a six-dimensional spacetime, and this solution has gained importance due to the planned accelerator experiments. It happened that the intermediate asymptotic behaviour of the fields in question was determined by an oscillatory inverse power-law. We confirm our investigations by numerical calculations for five- and six-dimensional cases. It turned out that the greater the brane tension is, the faster massive scalar fields decay in the considered spacetimes.
|
hep-th/9203081
| null |
S.V. Ketov, S.J. Gates, Jr. and H. Nishino
|
Majorana-Weyl Spinors and Self-Duality Gauge Fields in 2+2 Dimensions
|
15 pages
|
Phys.Lett. B307 (1993) 323-330
|
10.1016/0370-2693(93)90228-A
| null |
hep-th
| null |
The properties of Dirac gamma matrices in a four-dimensional space-time with
the $(2,2)$ signature are studied. The basic spinors are classified, and the
existence of Majorana-Weyl spinors is noted. Supersymmetry in $2 + 2$
dimensions is discussed, and the existence of the {\it real chiral} scalar
supermultiplet is discovered. Supersymmetric {\it self-dual} Yang-Mills
theories and {\it self-dual} supergravity model in $2 + 2$ dimensions, that are
apparently relevant to integrable systems, are formulated for the first time.
|
[
{
"created": "Mon, 30 Mar 1992 17:48:00 GMT",
"version": "v1"
}
] |
2012-08-27
|
[
[
"Ketov",
"S. V.",
""
],
[
"Gates,",
"S. J.",
"Jr."
],
[
"Nishino",
"H.",
""
]
] |
The properties of Dirac gamma matrices in a four-dimensional space-time with the $(2,2)$ signature are studied. The basic spinors are classified, and the existence of Majorana-Weyl spinors is noted. Supersymmetry in $2 + 2$ dimensions is discussed, and the existence of the {\it real chiral} scalar supermultiplet is discovered. Supersymmetric {\it self-dual} Yang-Mills theories and {\it self-dual} supergravity model in $2 + 2$ dimensions, that are apparently relevant to integrable systems, are formulated for the first time.
|
hep-th/9909149
|
Carmen Nunez
|
Gast\'on Giribet and Carmen N\'u\~nez
|
Interacting strings on AdS_3
|
24 pages, 2 figures, LaTeX. Substantial changes: ghosts found,
conclusions modified accordingly, references added. Final version to appear
in JHEP
|
JHEP 9911:031,1999
|
10.1088/1126-6708/1999/11/031
| null |
hep-th
| null |
We consider string theory on AdS_3 in terms of the Wakimoto free field
representation. The scattering amplitudes for N unitary tachyons are analysed
in the factorization limit and the poles corresponding to the mass-shell
conditions for physical states are extracted. The vertex operators for excited
levels are obtained from the residues and their properties are examined.
Negative norm states are found at the second mass level.
|
[
{
"created": "Tue, 21 Sep 1999 16:59:21 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Nov 1999 11:34:24 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Giribet",
"Gastón",
""
],
[
"Núñez",
"Carmen",
""
]
] |
We consider string theory on AdS_3 in terms of the Wakimoto free field representation. The scattering amplitudes for N unitary tachyons are analysed in the factorization limit and the poles corresponding to the mass-shell conditions for physical states are extracted. The vertex operators for excited levels are obtained from the residues and their properties are examined. Negative norm states are found at the second mass level.
|
1605.06166
|
David Berenstein
|
David Berenstein, Alexandra Miller
|
Topology and geometry cannot be measured by an operator measurement in
quantum gravity
|
4 pages, 2 figures. v2: added references
|
Phys. Rev. Lett. 118, 261601 (2017)
|
10.1103/PhysRevLett.118.261601
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the context of LLM geometries, we show that superpositions of classical
coherent states of trivial topology can give rise to new classical limits where
the topology of spacetime has changed. We argue that this phenomenon implies
that neither the topology nor the geometry of spacetime can be the result of an
operator measurement. We address how to reconcile these statements with the
usual semiclassical analysis of low energy effective field theory for gravity.
|
[
{
"created": "Thu, 19 May 2016 22:24:09 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Jun 2016 17:27:05 GMT",
"version": "v2"
}
] |
2017-07-05
|
[
[
"Berenstein",
"David",
""
],
[
"Miller",
"Alexandra",
""
]
] |
In the context of LLM geometries, we show that superpositions of classical coherent states of trivial topology can give rise to new classical limits where the topology of spacetime has changed. We argue that this phenomenon implies that neither the topology nor the geometry of spacetime can be the result of an operator measurement. We address how to reconcile these statements with the usual semiclassical analysis of low energy effective field theory for gravity.
|
hep-th/9910046
|
Laszlo Feher
|
J. Balog, L. Feher, L. Palla
|
Chiral Extensions of the WZNW Phase Space, Poisson-Lie Symmetries and
Groupoids
|
40 pages, LaTeX
|
Nucl.Phys. B568 (2000) 503-542
|
10.1016/S0550-3213(99)00738-5
| null |
hep-th math-ph math.MP math.QA
| null |
The chiral WZNW symplectic form $\Omega^{\rho}_{chir}$ is inverted in the
general case. Thereby a precise relationship between the arbitrary monodromy
dependent 2-form appearing in $\Omega^{\rho}_{chir}$ and the exchange r-matrix
that governs the Poisson brackets of the group valued chiral fields is
established. The exchange r-matrices are shown to satisfy a new dynamical
generalization of the classical modified Yang-Baxter (YB) equation and
Poisson-Lie (PL) groupoids are constructed that encode this equation
analogously as PL groups encode the classical YB equation. For an arbitrary
simple Lie group G, exchange r-matrices are found that are in one-to-one
correspondence with the possible PL structures on G and admit them as PL
symmetries.
|
[
{
"created": "Wed, 6 Oct 1999 14:17:23 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Balog",
"J.",
""
],
[
"Feher",
"L.",
""
],
[
"Palla",
"L.",
""
]
] |
The chiral WZNW symplectic form $\Omega^{\rho}_{chir}$ is inverted in the general case. Thereby a precise relationship between the arbitrary monodromy dependent 2-form appearing in $\Omega^{\rho}_{chir}$ and the exchange r-matrix that governs the Poisson brackets of the group valued chiral fields is established. The exchange r-matrices are shown to satisfy a new dynamical generalization of the classical modified Yang-Baxter (YB) equation and Poisson-Lie (PL) groupoids are constructed that encode this equation analogously as PL groups encode the classical YB equation. For an arbitrary simple Lie group G, exchange r-matrices are found that are in one-to-one correspondence with the possible PL structures on G and admit them as PL symmetries.
|
1912.09338
|
Tamas Gombor
|
Marius de Leeuw, Tam\'as Gombor, Charlotte Kristjansen, Georgios
Linardopoulos, Bal\'azs Pozsgay
|
Spin Chain Overlaps and the Twisted Yangian
|
47 pages, misprints corrected
|
JHEP 01 (2020) 176
|
10.1007/JHEP01(2020)176
| null |
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using considerations based on the thermodynamical Bethe ansatz as well
representation theory of twisted Yangians we derive an exact expression for the
overlaps between the Bethe eigenstates of the $SO(6)$ spin chain and matrix
product states built from matrices whose commutators generate an irreducible
representation of $\mathfrak{so}(5)$. The latter play the role of boundary
states in a domain wall version of ${\cal N}=4$ SYM theory which has
non-vanishing, $SO(5)$ symmetric vacuum expectation values on one side of a
co-dimension one wall. This theory, which constitutes a defect CFT, is known to
be dual to a D3-D7 probe brane system. We likewise show that the same
methodology makes it possible to prove an overlap formula, earlier presented
without proof, which is of relevance for the similar D3-D5 probe brane system.
|
[
{
"created": "Thu, 19 Dec 2019 16:21:27 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Jul 2022 09:49:46 GMT",
"version": "v2"
}
] |
2022-07-19
|
[
[
"de Leeuw",
"Marius",
""
],
[
"Gombor",
"Tamás",
""
],
[
"Kristjansen",
"Charlotte",
""
],
[
"Linardopoulos",
"Georgios",
""
],
[
"Pozsgay",
"Balázs",
""
]
] |
Using considerations based on the thermodynamical Bethe ansatz as well representation theory of twisted Yangians we derive an exact expression for the overlaps between the Bethe eigenstates of the $SO(6)$ spin chain and matrix product states built from matrices whose commutators generate an irreducible representation of $\mathfrak{so}(5)$. The latter play the role of boundary states in a domain wall version of ${\cal N}=4$ SYM theory which has non-vanishing, $SO(5)$ symmetric vacuum expectation values on one side of a co-dimension one wall. This theory, which constitutes a defect CFT, is known to be dual to a D3-D7 probe brane system. We likewise show that the same methodology makes it possible to prove an overlap formula, earlier presented without proof, which is of relevance for the similar D3-D5 probe brane system.
|
1801.03684
|
Hajime Otsuka
|
Hajime Otsuka
|
SO(32) heterotic line bundle models
|
24 pages, v2: published version
| null |
10.1007/JHEP05(2018)045
|
WU-HEP-18-01
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We search for the three-generation standard-like and/or Pati-Salam models
from the $SO(32)$ heterotic string theory on smooth, quotient complete
intersection Calabi-Yau threefolds with multiple line bundles, each with
structure group $U(1)$. These models are S- and T-dual to intersecting D-brane
models in type IIA string theory. We find that the stable line bundles and
Wilson lines lead to the standard model gauge group with an extra $U(1)_{B-L}$
via a Pati-Salam-like symmetry and the obtained spectrum consists of three
chiral generations of quarks and leptons, and vector-like particles.
Green-Schwarz anomalous U(1) symmetries control not only the Yukawa couplings
of the quarks and leptons but also the higher-dimensional operators causing the
proton decay.
|
[
{
"created": "Thu, 11 Jan 2018 09:36:00 GMT",
"version": "v1"
},
{
"created": "Wed, 9 May 2018 13:04:22 GMT",
"version": "v2"
}
] |
2018-05-10
|
[
[
"Otsuka",
"Hajime",
""
]
] |
We search for the three-generation standard-like and/or Pati-Salam models from the $SO(32)$ heterotic string theory on smooth, quotient complete intersection Calabi-Yau threefolds with multiple line bundles, each with structure group $U(1)$. These models are S- and T-dual to intersecting D-brane models in type IIA string theory. We find that the stable line bundles and Wilson lines lead to the standard model gauge group with an extra $U(1)_{B-L}$ via a Pati-Salam-like symmetry and the obtained spectrum consists of three chiral generations of quarks and leptons, and vector-like particles. Green-Schwarz anomalous U(1) symmetries control not only the Yukawa couplings of the quarks and leptons but also the higher-dimensional operators causing the proton decay.
|
hep-th/9905110
|
Jose Luis Boldo
|
J. L. Boldo, J. A. Helayel-Neto and N. Panza
|
Propagating Torsion in 3D-Gravity and Dynamical Mass Generation
|
13 pages, latex file, no figures, some corrections added
|
Class.Quantum Grav. 19 (2002) 2201
|
10.1088/0264-9381/19/8/310
| null |
hep-th
| null |
In this paper, fermions are minimally coupled to 3D-gravity where a dynamical
torsion is introduced. A Kalb-Ramond field is non-minimally coupled to these
fermions in a gauge-invariant way. We show that a 1-loop mass generation
mechanism takes place for both the 2-form gauge field and the torsion. As for
the fermions, no mass is dynamically generated: at 1-loop, there is only a mass
shift proportional to the Yukawa coupling whenever the fermions have a
non-vanishing tree-level mass.
|
[
{
"created": "Fri, 14 May 1999 18:53:08 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Jul 1999 18:44:18 GMT",
"version": "v2"
},
{
"created": "Tue, 24 Sep 2002 22:03:59 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Boldo",
"J. L.",
""
],
[
"Helayel-Neto",
"J. A.",
""
],
[
"Panza",
"N.",
""
]
] |
In this paper, fermions are minimally coupled to 3D-gravity where a dynamical torsion is introduced. A Kalb-Ramond field is non-minimally coupled to these fermions in a gauge-invariant way. We show that a 1-loop mass generation mechanism takes place for both the 2-form gauge field and the torsion. As for the fermions, no mass is dynamically generated: at 1-loop, there is only a mass shift proportional to the Yukawa coupling whenever the fermions have a non-vanishing tree-level mass.
|
1001.0008
|
Yi Wang
|
Yi Wang
|
Multi-Stream Inflation: Bifurcations and Recombinations in the
Multiverse
|
4 pages, 4 figures, invited essay for the Journal of Cosmology; v2:
note added
|
Journal of Cosmology, 2010, 4, 744-759.
| null | null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this Letter, we briefly review the multi-stream inflation scenario, and
discuss its implications in the string theory landscape and the inflationary
multiverse. In multi-stream inflation, the inflation trajectory encounters
bifurcations. If these bifurcations are in the observable stage of inflation,
then interesting observational effects can take place, such as domain fences,
non-Gaussianities, features and asymmetries in the CMB. On the other hand, if
the bifurcation takes place in the eternal stage of inflation, it provides an
alternative creation mechanism of bubbles universes in eternal inflation, as
well as a mechanism to locally terminate eternal inflation, which reduces the
measure of eternal inflation.
|
[
{
"created": "Wed, 30 Dec 2009 21:00:23 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Jan 2010 12:11:55 GMT",
"version": "v2"
}
] |
2010-01-15
|
[
[
"Wang",
"Yi",
""
]
] |
In this Letter, we briefly review the multi-stream inflation scenario, and discuss its implications in the string theory landscape and the inflationary multiverse. In multi-stream inflation, the inflation trajectory encounters bifurcations. If these bifurcations are in the observable stage of inflation, then interesting observational effects can take place, such as domain fences, non-Gaussianities, features and asymmetries in the CMB. On the other hand, if the bifurcation takes place in the eternal stage of inflation, it provides an alternative creation mechanism of bubbles universes in eternal inflation, as well as a mechanism to locally terminate eternal inflation, which reduces the measure of eternal inflation.
|
2303.00317
|
Jitze Hoogeveen
|
Jitze Hoogeveen
|
Charged test-particle scattering and effective one-body metrics with
spin
|
24 pages, 3 tables
| null |
10.1103/PhysRevD.108.024049
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
Using recently developed techniques, we consider weak-field test-particle
scattering angle calculations in two distinct settings: Charged test-particles
in spacetimes of charged sources and Effective One-Body theory with spin. We
present scattering angle calculations up to $\mathcal O(G^4)$ of charged
particles in the Kerr-Newman metric, including electromagnetic interactions up
to second order in charge. Coulomb scattering is also discussed, and the
well-known Darwin scattering formula is rederived by resummation. An Effective
One-Body metric for a Kerr-Schwarzschild binary is constructed in a
post-Minkowskian framework up to $\mathcal O(G^2)$ and first order in spin.
Facilitated by explicit scattering calculations, our approach is equivalent
with existing literature through gauge-like transformations. Finally, we
investigate if the Newman Janis Algorithm applied to an Effective One-Body
metric of non-spinning binaries represents a binary system with spin.
|
[
{
"created": "Wed, 1 Mar 2023 08:29:42 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Mar 2023 10:11:38 GMT",
"version": "v2"
}
] |
2023-08-02
|
[
[
"Hoogeveen",
"Jitze",
""
]
] |
Using recently developed techniques, we consider weak-field test-particle scattering angle calculations in two distinct settings: Charged test-particles in spacetimes of charged sources and Effective One-Body theory with spin. We present scattering angle calculations up to $\mathcal O(G^4)$ of charged particles in the Kerr-Newman metric, including electromagnetic interactions up to second order in charge. Coulomb scattering is also discussed, and the well-known Darwin scattering formula is rederived by resummation. An Effective One-Body metric for a Kerr-Schwarzschild binary is constructed in a post-Minkowskian framework up to $\mathcal O(G^2)$ and first order in spin. Facilitated by explicit scattering calculations, our approach is equivalent with existing literature through gauge-like transformations. Finally, we investigate if the Newman Janis Algorithm applied to an Effective One-Body metric of non-spinning binaries represents a binary system with spin.
|
hep-th/0210259
|
Rabin Banerjee
|
Rabin Banerjee
|
Noncommuting Electric Fields and Algebraic Consistency in Noncommutative
Gauge theories
|
16 pages, LaTex, considerably expanded version with a new section on
`Gauge symmetries'; To appear in Phys. Rev. D
|
Phys.Rev. D67 (2003) 105002
|
10.1103/PhysRevD.67.105002
| null |
hep-th
| null |
We show that noncommuting electric fields occur naturally in
$\theta$-expanded noncommutative gauge theories. Using this noncommutativity,
which is field dependent, and a hamiltonian generalisation of the
Seiberg-Witten Map, the algebraic consistency in the lagrangian and hamiltonian
formulations of these theories, is established. A comparison of results in
different descriptions shows that this generalised map acts as canonical
transformation in the physical subspace only. Finally, we apply the hamiltonian
formulation to derive the gauge symmetries of the action.
|
[
{
"created": "Mon, 28 Oct 2002 07:52:48 GMT",
"version": "v1"
},
{
"created": "Fri, 31 Jan 2003 02:12:25 GMT",
"version": "v2"
},
{
"created": "Thu, 20 Mar 2003 03:05:20 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Banerjee",
"Rabin",
""
]
] |
We show that noncommuting electric fields occur naturally in $\theta$-expanded noncommutative gauge theories. Using this noncommutativity, which is field dependent, and a hamiltonian generalisation of the Seiberg-Witten Map, the algebraic consistency in the lagrangian and hamiltonian formulations of these theories, is established. A comparison of results in different descriptions shows that this generalised map acts as canonical transformation in the physical subspace only. Finally, we apply the hamiltonian formulation to derive the gauge symmetries of the action.
|
1110.0479
|
Jan Gutowski
|
U. Gran, J. Gutowski and G. Papadopoulos
|
AdS backgrounds from black hole horizons
|
20 pages, latex
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We utilize the classification of IIB horizons with 5-form flux to present a
unified description for the geometry of AdS_n, n=3,5,7 solutions. In
particular, we show that all such backgrounds can be constructed from
8-dimensional 2-strong Calabi-Yau geometries with torsion which admit some
additional isometries. We explore the geometry of AdS_3 and AdS_5 solutions but
we do not find AdS_7 solutions.
|
[
{
"created": "Mon, 3 Oct 2011 20:03:57 GMT",
"version": "v1"
}
] |
2011-10-05
|
[
[
"Gran",
"U.",
""
],
[
"Gutowski",
"J.",
""
],
[
"Papadopoulos",
"G.",
""
]
] |
We utilize the classification of IIB horizons with 5-form flux to present a unified description for the geometry of AdS_n, n=3,5,7 solutions. In particular, we show that all such backgrounds can be constructed from 8-dimensional 2-strong Calabi-Yau geometries with torsion which admit some additional isometries. We explore the geometry of AdS_3 and AdS_5 solutions but we do not find AdS_7 solutions.
|
1811.11224
|
Andrea Legramandi
|
Andrea Legramandi and Niall T. Macpherson
|
Mink$_4\times S^2$ Solutions of 10 and 11 Dimensional Supergravity
|
30 pages + appendices, 2 figures. v3: published version
| null |
10.1007/JHEP07(2019)134
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We complete the classification of Mink$_4$ solutions preserving
$\mathcal{N}=2$ supersymmetry and SU(2) R-symmetry parameterised by a round
$S^2$ factor. We consider eleven-dimensional supergravity and relax the
assumptions of earlier works in type II theories. We show that, using chains of
dualities, all solutions of this type can be generated from one of two master
classes: an SU(2)-structure in M-theory and a conformal Calabi-Yau in type IIB.
Finally, using our results, we recover AdS$_5\times S^2$ solutions in M-theory
and construct a compact Minkowski solution with Atiyah-Hitchin singularity.
|
[
{
"created": "Tue, 27 Nov 2018 19:51:57 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Dec 2018 09:44:08 GMT",
"version": "v2"
},
{
"created": "Sun, 1 Sep 2019 19:16:58 GMT",
"version": "v3"
}
] |
2019-09-04
|
[
[
"Legramandi",
"Andrea",
""
],
[
"Macpherson",
"Niall T.",
""
]
] |
We complete the classification of Mink$_4$ solutions preserving $\mathcal{N}=2$ supersymmetry and SU(2) R-symmetry parameterised by a round $S^2$ factor. We consider eleven-dimensional supergravity and relax the assumptions of earlier works in type II theories. We show that, using chains of dualities, all solutions of this type can be generated from one of two master classes: an SU(2)-structure in M-theory and a conformal Calabi-Yau in type IIB. Finally, using our results, we recover AdS$_5\times S^2$ solutions in M-theory and construct a compact Minkowski solution with Atiyah-Hitchin singularity.
|
1505.05360
|
Minxin Huang
|
Xin Wang, Guojun Zhang, Min-xin Huang
|
New Exact Quantization Condition for Toric Calabi-Yau Geometries
|
5 pages. v2: journal version, minor corrections
|
Phys. Rev. Lett. 115, 121601 (2015)
|
10.1103/PhysRevLett.115.121601
|
USTC-ICTS-15-05
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a new exact quantization condition for a class of quantum
mechanical systems derived from local toric Calabi-Yau three-folds. Our
proposal includes all contributions to the energy spectrum which are
non-perturbative in the Planck constant, and is much simpler than the available
quantization condition in the literature. We check that our proposal is
consistent with previous works and implies non-trivial relations among the
topological Gopakumar-Vafa invariants of the toric Calabi-Yau geometries.
Together with the recent developments, our proposal opens a new avenue in the
long investigations at the interface of geometry, topology and quantum
mechanics.
|
[
{
"created": "Wed, 20 May 2015 13:13:57 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Sep 2015 04:30:44 GMT",
"version": "v2"
}
] |
2015-10-28
|
[
[
"Wang",
"Xin",
""
],
[
"Zhang",
"Guojun",
""
],
[
"Huang",
"Min-xin",
""
]
] |
We propose a new exact quantization condition for a class of quantum mechanical systems derived from local toric Calabi-Yau three-folds. Our proposal includes all contributions to the energy spectrum which are non-perturbative in the Planck constant, and is much simpler than the available quantization condition in the literature. We check that our proposal is consistent with previous works and implies non-trivial relations among the topological Gopakumar-Vafa invariants of the toric Calabi-Yau geometries. Together with the recent developments, our proposal opens a new avenue in the long investigations at the interface of geometry, topology and quantum mechanics.
|
hep-th/0409116
|
Alexandre Gadelha
|
M. C. Abdalla, A. L. Gadelha and Daniel L. Nedel
|
On the entropy operator for the general SU(1,1) TFD formulation
|
13 pages, revtex4, minor typos corrected, references added
|
Phys.Lett. A334 (2005) 123-131
|
10.1016/j.physleta.2004.11.025
| null |
hep-th
| null |
In this letter, an entropy operator for the general unitary SU(1,1) TFD
formulation is proposed and used to lead a bosonic system from zero to finite
temperature. Namely, considering the closed bosonic string as the target
system, the entropy operator is used to construct the thermal vacuum. The
behaviour of such a state under the breve conjugation rules is analized and it
was shown that the breve conjugation does not affect thermal effects. From this
thermal vacuum the thermal energy, the entropy and the free energy of the
closed bosonic string are calculated and the apropriated thermal distribution
for the system is found after the free energy minimization.
|
[
{
"created": "Fri, 10 Sep 2004 19:15:34 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Sep 2004 13:39:29 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Nov 2004 19:01:55 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Abdalla",
"M. C.",
""
],
[
"Gadelha",
"A. L.",
""
],
[
"Nedel",
"Daniel L.",
""
]
] |
In this letter, an entropy operator for the general unitary SU(1,1) TFD formulation is proposed and used to lead a bosonic system from zero to finite temperature. Namely, considering the closed bosonic string as the target system, the entropy operator is used to construct the thermal vacuum. The behaviour of such a state under the breve conjugation rules is analized and it was shown that the breve conjugation does not affect thermal effects. From this thermal vacuum the thermal energy, the entropy and the free energy of the closed bosonic string are calculated and the apropriated thermal distribution for the system is found after the free energy minimization.
|
2111.11705
|
Kenta Suzuki
|
Kanato Goto, Kenta Suzuki, Tomonori Ugajin
|
Factorizing Wormholes in a Partially Disorder-Averaged SYK Model
|
41 pages, 5 figures
| null |
10.1007/JHEP09(2022)069
|
RIKEN-iTHEMS-Report-21, YITP-21-124
|
hep-th cond-mat.str-el
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper, we introduce a "partially disorder-averaged" SYK model. This
model has a real parameter that smoothly interpolates between the ordinary
totally disorder-averaged SYK model and the totally fixed-coupling model. For
the large $N$ effective description, in addition to the usual bi-local
collective fields, we also introduce a new additional set of local collective
fields. These local fields can be understood as "half" of the bi-local
collective fields, and in the totally fixed-coupling limit, they represent the
"half-wormholes" which were found in recent studies. We find that the large $N$
saddles of these local fields vanish in the total-disorder-averaged limit,
while they develop nontrivial profiles as we gradually fix the coupling
constants. We argue that the bulk picture of these local collective fields
represents a correlation between a spacetime brane and the asymptotic AdS
boundary. This illuminates how the half-wormhole saddles emerge in the SYK
model with fixed couplings.
|
[
{
"created": "Tue, 23 Nov 2021 07:57:45 GMT",
"version": "v1"
}
] |
2022-09-28
|
[
[
"Goto",
"Kanato",
""
],
[
"Suzuki",
"Kenta",
""
],
[
"Ugajin",
"Tomonori",
""
]
] |
In this paper, we introduce a "partially disorder-averaged" SYK model. This model has a real parameter that smoothly interpolates between the ordinary totally disorder-averaged SYK model and the totally fixed-coupling model. For the large $N$ effective description, in addition to the usual bi-local collective fields, we also introduce a new additional set of local collective fields. These local fields can be understood as "half" of the bi-local collective fields, and in the totally fixed-coupling limit, they represent the "half-wormholes" which were found in recent studies. We find that the large $N$ saddles of these local fields vanish in the total-disorder-averaged limit, while they develop nontrivial profiles as we gradually fix the coupling constants. We argue that the bulk picture of these local collective fields represents a correlation between a spacetime brane and the asymptotic AdS boundary. This illuminates how the half-wormhole saddles emerge in the SYK model with fixed couplings.
|
1911.12860
|
Evgeny Sobko
|
Vladimir Kazakov, Evgeny Sobko, Konstantin Zarembo
|
Double-Scaling Limit in Principal Chiral Model: a New Non-Critical
String?
|
6 pages, 1 figure, v2: typos fixed, minor corrections
|
Phys. Rev. Lett. 124, 191602 (2020)
|
10.1103/PhysRevLett.124.191602
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We initiate a systematic, non-perturbative study of the large-$N$ expansion
in the two-dimensional $\text{SU}(N)\times \text{SU}(N)$ Principal Chiral Model
(PCM). Starting with the known infinite-$N$ solution for the ground state at
fixed chemical potential \cite{Fateev:1994dp,Fateev:1994ai}, we devise an
iterative procedure to solve the Bethe ansatz equations order by order in
$1/N$. The first few orders, which we explicitly compute, reveal a systematic
enhancement pattern at strong coupling calling for the near-threshold
resummation of the large-$N$ expansion. The resulting double-scaling limit
bears striking similarities to the $c=1$ non-critical string theory and
suggests that the double-scaled PCM is dual to a non-critical string with a
$(2+1)$-dimensional target space where an additional dimension emerges
dynamically from the $\text{SU}(N)$ Dynkin diagram.
|
[
{
"created": "Thu, 28 Nov 2019 20:53:23 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Apr 2020 14:14:50 GMT",
"version": "v2"
}
] |
2020-05-20
|
[
[
"Kazakov",
"Vladimir",
""
],
[
"Sobko",
"Evgeny",
""
],
[
"Zarembo",
"Konstantin",
""
]
] |
We initiate a systematic, non-perturbative study of the large-$N$ expansion in the two-dimensional $\text{SU}(N)\times \text{SU}(N)$ Principal Chiral Model (PCM). Starting with the known infinite-$N$ solution for the ground state at fixed chemical potential \cite{Fateev:1994dp,Fateev:1994ai}, we devise an iterative procedure to solve the Bethe ansatz equations order by order in $1/N$. The first few orders, which we explicitly compute, reveal a systematic enhancement pattern at strong coupling calling for the near-threshold resummation of the large-$N$ expansion. The resulting double-scaling limit bears striking similarities to the $c=1$ non-critical string theory and suggests that the double-scaled PCM is dual to a non-critical string with a $(2+1)$-dimensional target space where an additional dimension emerges dynamically from the $\text{SU}(N)$ Dynkin diagram.
|
1108.1547
|
Rudra Prakash Malik
|
S. Gupta, R. Kumar, R. P. Malik
|
Superfield approach to nilpotent symmetries in 3D Jackiw-Pi model of
massive non-Abelian theory
|
LaTeX file, 22 pages, 1 figure, journal reference is given
|
Canadian J. Phys. 92: 1033-1042, 2014
| null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the available literature, only the Becchi-Rouet-Stora-Tyutin (BRST)
symmetries are known for the Jackiw-Pi model of the three (2 + 1)-dimensional
(3D) massive non-Abelian gauge theory. We derive the off-shell nilpotent
(s_{(a)b}^2 = 0) and absolutely anticommuting (s_b \,s_{ab} + s_{ab}\, s_b = 0)
(anti-)BRST transformations s_{(a)b} corresponding to the usual Yang-Mills
gauge transformations of this model by exploiting the "augmented" superfield
formalism where the horizontality condition and gauge invariant restrictions
blend together in a meaningful manner. There is a non-Yang-Mills (NYM) symmetry
in this theory, too. However, we do not touch the NYM symmetry in our present
endeavor. This superfield formalism leads to the derivation of an (anti-)BRST
invariant Curci-Ferrari restriction which plays a key role in the proof of
absolute anticommutativity of s_{(a)b}. The derivation of the proper anti-BRST
symmetry transformations is important from the point of view of geometrical
objects called gerbes. A novel feature of our present investigation is the
derivation of the (anti-)BRST transformations for the auxiliary field \rho from
our superfield formalism which is neither generated by the (anti-)BRST charges
nor obtained from the requirements of nilpotency and/or absolute
anticommutativity of the (anti-)BRST symmetries for our present 3D non-Abelian
1-form gauge theory.
|
[
{
"created": "Sun, 7 Aug 2011 15:07:36 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Aug 2011 14:11:18 GMT",
"version": "v2"
},
{
"created": "Tue, 21 Aug 2012 12:29:14 GMT",
"version": "v3"
},
{
"created": "Thu, 9 Jan 2014 13:25:32 GMT",
"version": "v4"
},
{
"created": "Sun, 5 Oct 2014 10:59:20 GMT",
"version": "v5"
}
] |
2014-10-07
|
[
[
"Gupta",
"S.",
""
],
[
"Kumar",
"R.",
""
],
[
"Malik",
"R. P.",
""
]
] |
In the available literature, only the Becchi-Rouet-Stora-Tyutin (BRST) symmetries are known for the Jackiw-Pi model of the three (2 + 1)-dimensional (3D) massive non-Abelian gauge theory. We derive the off-shell nilpotent (s_{(a)b}^2 = 0) and absolutely anticommuting (s_b \,s_{ab} + s_{ab}\, s_b = 0) (anti-)BRST transformations s_{(a)b} corresponding to the usual Yang-Mills gauge transformations of this model by exploiting the "augmented" superfield formalism where the horizontality condition and gauge invariant restrictions blend together in a meaningful manner. There is a non-Yang-Mills (NYM) symmetry in this theory, too. However, we do not touch the NYM symmetry in our present endeavor. This superfield formalism leads to the derivation of an (anti-)BRST invariant Curci-Ferrari restriction which plays a key role in the proof of absolute anticommutativity of s_{(a)b}. The derivation of the proper anti-BRST symmetry transformations is important from the point of view of geometrical objects called gerbes. A novel feature of our present investigation is the derivation of the (anti-)BRST transformations for the auxiliary field \rho from our superfield formalism which is neither generated by the (anti-)BRST charges nor obtained from the requirements of nilpotency and/or absolute anticommutativity of the (anti-)BRST symmetries for our present 3D non-Abelian 1-form gauge theory.
|
2403.15995
|
Emily Nardoni
|
Emily Nardoni, Matteo Sacchi, Orr Sela, Gabi Zafrir, Yunqin Zheng
|
Dimensionally Reducing Generalized Symmetries from (3+1)-Dimensions
|
71 pages + appendices, 3 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently there has been an increasing interest in the study of generalized
symmetries in dimensions higher than two. This has lead to the discovery of
various manifestations of generalized symmetries, notably higher-group and
non-invertible symmetries, in four dimensions. In this paper we shall examine
what happens to this structure when the 4d theory is compactified to lower
dimensions, specifically to 3d and 2d, where we shall be mainly interested in
generalized symmetry structures whose origin can be linked to mixed
flavor-gauge anomalies. We discuss several aspects of the compactification, and
in particular argue that under certain conditions the discussed generalized
symmetry structure may trivialize in the infrared. Nevertheless, we show that
even when this happens the presence of the 4d generalized symmetry structure
may still leave an imprint on the low-energy theory in terms of additional 't
Hooft anomalies or by breaking part of the symmetry. We apply and illustrate
this using known examples of compactifications from four dimensions,
particularly, the reduction of 4d $\mathcal{N}=1$ $U(N_c)$ SQCD on a circle to
3d and on a sphere to 2d.
|
[
{
"created": "Sun, 24 Mar 2024 03:12:32 GMT",
"version": "v1"
}
] |
2024-03-26
|
[
[
"Nardoni",
"Emily",
""
],
[
"Sacchi",
"Matteo",
""
],
[
"Sela",
"Orr",
""
],
[
"Zafrir",
"Gabi",
""
],
[
"Zheng",
"Yunqin",
""
]
] |
Recently there has been an increasing interest in the study of generalized symmetries in dimensions higher than two. This has lead to the discovery of various manifestations of generalized symmetries, notably higher-group and non-invertible symmetries, in four dimensions. In this paper we shall examine what happens to this structure when the 4d theory is compactified to lower dimensions, specifically to 3d and 2d, where we shall be mainly interested in generalized symmetry structures whose origin can be linked to mixed flavor-gauge anomalies. We discuss several aspects of the compactification, and in particular argue that under certain conditions the discussed generalized symmetry structure may trivialize in the infrared. Nevertheless, we show that even when this happens the presence of the 4d generalized symmetry structure may still leave an imprint on the low-energy theory in terms of additional 't Hooft anomalies or by breaking part of the symmetry. We apply and illustrate this using known examples of compactifications from four dimensions, particularly, the reduction of 4d $\mathcal{N}=1$ $U(N_c)$ SQCD on a circle to 3d and on a sphere to 2d.
|
1602.00720
|
Shigenori Seki Dr.
|
Robi Peschanski, Shigenori Seki
|
Entanglement Entropy of Scattering Particles
|
4 pages; v2: a ref. added; v3: format changed, results do not change,
version for publication
|
Phys. Lett. B758 (2016) 89-92
|
10.1016/j.physletb.2016.04.063
| null |
hep-th cond-mat.stat-mech hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the entanglement entropy between the two outgoing particles in an
elastic scattering process. It is formulated within an S-matrix formalism using
the partial wave expansion of two-body states, which plays a significant role
in our computation. As a result, we obtain a novel formula that expresses the
entanglement entropy in a high energy scattering by the use of physical
observables, namely the elastic and total cross sections and a physical bound
on the impact parameter range, related to the elastic differential
cross-section.
|
[
{
"created": "Mon, 1 Feb 2016 21:39:49 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Feb 2016 07:40:35 GMT",
"version": "v2"
},
{
"created": "Mon, 2 May 2016 02:39:32 GMT",
"version": "v3"
}
] |
2016-07-08
|
[
[
"Peschanski",
"Robi",
""
],
[
"Seki",
"Shigenori",
""
]
] |
We study the entanglement entropy between the two outgoing particles in an elastic scattering process. It is formulated within an S-matrix formalism using the partial wave expansion of two-body states, which plays a significant role in our computation. As a result, we obtain a novel formula that expresses the entanglement entropy in a high energy scattering by the use of physical observables, namely the elastic and total cross sections and a physical bound on the impact parameter range, related to the elastic differential cross-section.
|
0707.4425
|
Luciano Vanzo
|
R. Di Criscienzo, M. Nadalini, L. Vanzo, S. Zerbini, G. Zoccatelli
|
On the Hawking radiation as tunneling for a class of dynamical black
holes
|
added references for section 1, corrected typos, some improvement in
notation
|
Phys.Lett.B657:107-111,2007
|
10.1016/j.physletb.2007.10.005
| null |
hep-th
| null |
The instability against emission of massless particles by the trapping
horizon of an evolving black hole is analyzed with the use of the
Hamilton-Jacobi method. The method automatically selects one special expression
for the surface gravity of a changing horizon. Indeed, the strength of the
horizon singularity turns out to be governed by the surface gravity as was
defined a decade ago by Hayward using Kodama's theory of spherically symmetric
gravitational fields. The theory also applies to point masses embedded in an
expanding universe, were the surface gravity is still related to Kodama-Hayward
theory. As a bonus of the tunneling method, we gain the insight that the
surface gravity still defines a temperature parameter as long as the evolution
is sufficiently slow that the black hole pass through a sequence of
quasi-equilibrium states.
|
[
{
"created": "Mon, 30 Jul 2007 14:37:35 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Aug 2007 13:29:48 GMT",
"version": "v2"
},
{
"created": "Wed, 3 Oct 2007 13:11:08 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Di Criscienzo",
"R.",
""
],
[
"Nadalini",
"M.",
""
],
[
"Vanzo",
"L.",
""
],
[
"Zerbini",
"S.",
""
],
[
"Zoccatelli",
"G.",
""
]
] |
The instability against emission of massless particles by the trapping horizon of an evolving black hole is analyzed with the use of the Hamilton-Jacobi method. The method automatically selects one special expression for the surface gravity of a changing horizon. Indeed, the strength of the horizon singularity turns out to be governed by the surface gravity as was defined a decade ago by Hayward using Kodama's theory of spherically symmetric gravitational fields. The theory also applies to point masses embedded in an expanding universe, were the surface gravity is still related to Kodama-Hayward theory. As a bonus of the tunneling method, we gain the insight that the surface gravity still defines a temperature parameter as long as the evolution is sufficiently slow that the black hole pass through a sequence of quasi-equilibrium states.
|
1505.08130
|
George Georgiou
|
George Georgiou
|
Multi-soft theorems in Gauge Theory from MHV Diagrams
|
25 pages, 7 figures,typos corrected
| null |
10.1007/JHEP08(2015)128
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we employ the MHV technique to show that scattering amplitudes
with any number of consecutive soft particles behave universally in the
multi-soft limit in which all particles go soft simultaneously. After
identifying the diagrams which give the leading contribution we give the
general rules for writing down compact expressions for the multi-soft factor of
m gluons, k of which have negative helicity. We explicitly consider the cases
where k equals 1 and 2. In N =4 SYM, the multi-soft factors of 2 scalars or 2
fermions forming a singlet of SU(4) R-symmetry, and m-2 positive helicity
gluons are derived. The special case of the double-soft limit gives an
amplitude whose leading divergence is 1/\delta^2 and not 1/\delta as in the
case of 2 scalars or 2 fermions that do not form a singlet under SU(4). The
construction based on the analytic supervertices allows us to obtain simple
expressions for the triple-soft limit of 1 scalar and 2 positive helicity
fermions, as well as for the quadrapole-soft limit of 4 positive helicity
fermions, in a singlet configuration.
|
[
{
"created": "Fri, 29 May 2015 18:05:22 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Sep 2015 19:35:14 GMT",
"version": "v2"
}
] |
2015-09-30
|
[
[
"Georgiou",
"George",
""
]
] |
In this work we employ the MHV technique to show that scattering amplitudes with any number of consecutive soft particles behave universally in the multi-soft limit in which all particles go soft simultaneously. After identifying the diagrams which give the leading contribution we give the general rules for writing down compact expressions for the multi-soft factor of m gluons, k of which have negative helicity. We explicitly consider the cases where k equals 1 and 2. In N =4 SYM, the multi-soft factors of 2 scalars or 2 fermions forming a singlet of SU(4) R-symmetry, and m-2 positive helicity gluons are derived. The special case of the double-soft limit gives an amplitude whose leading divergence is 1/\delta^2 and not 1/\delta as in the case of 2 scalars or 2 fermions that do not form a singlet under SU(4). The construction based on the analytic supervertices allows us to obtain simple expressions for the triple-soft limit of 1 scalar and 2 positive helicity fermions, as well as for the quadrapole-soft limit of 4 positive helicity fermions, in a singlet configuration.
|
hep-th/0011115
|
Shin'ichi Nojiri
|
Shin'ichi Nojiri and Sergei D. Odintsov
|
AdS/CFT correspondence, conformal anomaly and quantum corrected entropy
bounds
|
LaTeX file, 21 pages
|
Int.J.Mod.Phys.A16:3273-3290,2001
|
10.1142/S0217751X01004128
| null |
hep-th
| null |
The role of conformal anomaly in AdS/CFT and related issues is clarified. The
comparison of holographic and QFT conformal anomalies (with account of brane
quantum gravity contribution) indicates on the possibility for brane quantum
gravity to occur within AdS/CFT set-up. 3d quantum induced inflationary (or
hyperbolic) brane-world is shown to be realized in frames of AdS3/CFT2
correspondence where the role of 2d brane cosmological constant is played by
effective tension due to two-dimensional conformal anomaly. The dynamical
equations to describe 4d FRW-Universe with account of quantum effects produced
by conformal anomaly are obtained. The quantum corrected energy, pressure and
entropy are found. Dynamical evolution of entropy bounds in inflationary
Universe is estimated and its comparison with quantum corrected entropy is
done. It is demonstrated that entropy bounds for quantum corrected entropy are
getting the approximate ones and occur for some limited periods of evolution of
inflationary Universe.
|
[
{
"created": "Tue, 14 Nov 2000 01:18:55 GMT",
"version": "v1"
}
] |
2009-09-17
|
[
[
"Nojiri",
"Shin'ichi",
""
],
[
"Odintsov",
"Sergei D.",
""
]
] |
The role of conformal anomaly in AdS/CFT and related issues is clarified. The comparison of holographic and QFT conformal anomalies (with account of brane quantum gravity contribution) indicates on the possibility for brane quantum gravity to occur within AdS/CFT set-up. 3d quantum induced inflationary (or hyperbolic) brane-world is shown to be realized in frames of AdS3/CFT2 correspondence where the role of 2d brane cosmological constant is played by effective tension due to two-dimensional conformal anomaly. The dynamical equations to describe 4d FRW-Universe with account of quantum effects produced by conformal anomaly are obtained. The quantum corrected energy, pressure and entropy are found. Dynamical evolution of entropy bounds in inflationary Universe is estimated and its comparison with quantum corrected entropy is done. It is demonstrated that entropy bounds for quantum corrected entropy are getting the approximate ones and occur for some limited periods of evolution of inflationary Universe.
|
hep-th/0305072
|
Tetsuji Kimura
|
Tetsuji Kimura (KEK and Osaka Univ.)
|
Kahler Potentials on Toric Varieties
|
1+22 pages, 6 figures, typos corrected, some minor changes
| null | null |
KEK-TH-886, OU-HET 442
|
hep-th math.DG
| null |
One has believed that low energy effective theories of the Higgs branch of
gauged linear sigma models correspond to supersymmetric nonlinear sigma models,
which have been already investigated by many works. In this paper we discuss a
explicit derivation of supersymmetric nonlinear sigma models from gauged linear
sigma models. In this process we construct Kahler potentials of some
two-dimensional toric varieties explicitly. Thus we will be able to study some
algebraic varieties in the language of differential geometry.
|
[
{
"created": "Fri, 9 May 2003 07:04:16 GMT",
"version": "v1"
},
{
"created": "Mon, 19 May 2003 05:05:38 GMT",
"version": "v2"
},
{
"created": "Sun, 1 Jun 2003 08:09:34 GMT",
"version": "v3"
},
{
"created": "Sun, 8 Jun 2003 13:53:35 GMT",
"version": "v4"
}
] |
2007-05-23
|
[
[
"Kimura",
"Tetsuji",
"",
"KEK and Osaka Univ."
]
] |
One has believed that low energy effective theories of the Higgs branch of gauged linear sigma models correspond to supersymmetric nonlinear sigma models, which have been already investigated by many works. In this paper we discuss a explicit derivation of supersymmetric nonlinear sigma models from gauged linear sigma models. In this process we construct Kahler potentials of some two-dimensional toric varieties explicitly. Thus we will be able to study some algebraic varieties in the language of differential geometry.
|
1511.00828
|
Damiano Anselmi
|
Damiano Anselmi
|
Some reference formulas for the generating functions of canonical
transformations
|
28 pages, 8 figures; v2: more references, EPJC version
|
Eur. Phys. J. C76 (2016) 49
|
10.1140/epjc/s10052-015-3874-y
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study some properties of the canonical transformations in classical
mechanics and quantum field theory and give a number of practical formulas
concerning their generating functions. First, we give a diagrammatic formula
for the perturbative expansion of the composition law around the identity map.
Then, we propose a standard way to express the generating function of a
canonical transformation by means of a certain "componential" map, which obeys
the Baker-Campbell-Hausdorff formula. We derive the diagrammatic interpretation
of the componential map, work out its relation with the solution of the
Hamilton-Jacobi equation and derive its time-ordered version. Finally, we
generalize the results to the Batalin-Vilkovisky formalism, where the conjugate
variables may have both bosonic and fermionic statistics, and describe
applications to quantum field theory.
|
[
{
"created": "Tue, 3 Nov 2015 09:25:57 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Apr 2016 09:17:48 GMT",
"version": "v2"
}
] |
2016-04-06
|
[
[
"Anselmi",
"Damiano",
""
]
] |
We study some properties of the canonical transformations in classical mechanics and quantum field theory and give a number of practical formulas concerning their generating functions. First, we give a diagrammatic formula for the perturbative expansion of the composition law around the identity map. Then, we propose a standard way to express the generating function of a canonical transformation by means of a certain "componential" map, which obeys the Baker-Campbell-Hausdorff formula. We derive the diagrammatic interpretation of the componential map, work out its relation with the solution of the Hamilton-Jacobi equation and derive its time-ordered version. Finally, we generalize the results to the Batalin-Vilkovisky formalism, where the conjugate variables may have both bosonic and fermionic statistics, and describe applications to quantum field theory.
|
1202.4467
|
Arnaud Lepage-Jutier
|
Alejandra Castro, Eliot Hijano and Arnaud Lepage-Jutier
|
Unitarity Bounds in AdS_3 Higher Spin Gravity
|
1+23 pages, Version 3 Appendix B revised
| null |
10.1007/JHEP06(2012)001
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study SL(N,R) Chern-Simons gauge theories in three dimensions. The choice
of the embedding of SL(2,R) in SL(N,R), together with asymptotic boundary
conditions, defines a theory of higher spin gravity. Each inequivalent
embedding leads to a different asymptotic symmetry group, which we map to an
OPE structure at the boundary. A simple inspection of these algebras indicates
that only the W_N algebra constructed using the principal embedding could admit
a unitary representation for large values of the central charge.
|
[
{
"created": "Mon, 20 Feb 2012 21:09:47 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Jun 2012 12:44:49 GMT",
"version": "v2"
},
{
"created": "Tue, 31 Jul 2012 20:44:11 GMT",
"version": "v3"
}
] |
2012-08-02
|
[
[
"Castro",
"Alejandra",
""
],
[
"Hijano",
"Eliot",
""
],
[
"Lepage-Jutier",
"Arnaud",
""
]
] |
We study SL(N,R) Chern-Simons gauge theories in three dimensions. The choice of the embedding of SL(2,R) in SL(N,R), together with asymptotic boundary conditions, defines a theory of higher spin gravity. Each inequivalent embedding leads to a different asymptotic symmetry group, which we map to an OPE structure at the boundary. A simple inspection of these algebras indicates that only the W_N algebra constructed using the principal embedding could admit a unitary representation for large values of the central charge.
|
hep-th/9410085
|
C. P. Staszkiewicz
|
B. Schroer
|
Reminiscences about Many Pitfalls and Some Successes of QFT Within the
Last Three Decades
|
I added some comments and remarks
|
Rev.Math.Phys. 7 (1995) 645-688
|
10.1142/S0129055X95000268
| null |
hep-th cond-mat
| null |
Laymen and sometimes even physicists think of natural sciences, in particular
of theoretical and mathematical physics often as subjects, which unfold
according to an intrinsic logical pattern, with the limitations being set only
by the conceptual and (in case of mathematical physics) mathematical
developments of the times. This view certainly cannot be maintained in view of
the present stagnation and crisis which in particular affects QFT, an area
which in the past has been most innovating and fruitful, also in relation to
other important areas of theoretical physics.
|
[
{
"created": "Wed, 12 Oct 1994 15:45:01 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Oct 1994 13:15:32 GMT",
"version": "v2"
},
{
"created": "Fri, 21 Oct 1994 13:24:36 GMT",
"version": "v3"
},
{
"created": "Tue, 8 Nov 1994 20:48:31 GMT",
"version": "v4"
}
] |
2009-10-28
|
[
[
"Schroer",
"B.",
""
]
] |
Laymen and sometimes even physicists think of natural sciences, in particular of theoretical and mathematical physics often as subjects, which unfold according to an intrinsic logical pattern, with the limitations being set only by the conceptual and (in case of mathematical physics) mathematical developments of the times. This view certainly cannot be maintained in view of the present stagnation and crisis which in particular affects QFT, an area which in the past has been most innovating and fruitful, also in relation to other important areas of theoretical physics.
|
1009.6097
|
Fumihiko Sugino
|
Tsunehide Kuroki, Fumihiko Sugino
|
Spontaneous supersymmetry breaking in matrix models from the viewpoints
of localization and Nicolai mapping
|
45 pages, no figure; v2 references added; v3 discussions for general
T moved to appendix, references added, typos fixed, version to be published
in Nuclear Physics B
| null |
10.1016/j.nuclphysb.2010.11.015
|
OIQP-10-06
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the previous work, it was shown that, in supersymmetric (matrix)
discretized quantum mechanics, inclusion of an external field twisting the
boundary condition of fermions enables us to discuss spontaneous breaking of
supersymmetry (SUSY) in the path-integral formalism in a well-defined way. In
the present work, we continue investigating the same systems from the points of
view of localization and Nicolai mapping. The localization is studied by
changing of integration variables in the path integral, which is applicable
whether or not SUSY is explicitly broken. We examine in detail how the
integrand of the partition function with respect to the integral over the
auxiliary field behaves as the auxiliary field vanishes, which clarifies a
mechanism of the localization. In SUSY matrix models, we obtain a matrix-model
generalization of the localization formula. In terms of eigenvalues of matrix
variables, we observe that eigenvalues' dynamics is governed by balance of
attractive force from the localization and repulsive force from the Vandermonde
determinant. The approach of the Nicolai mapping works even in the presence of
the external field. It enables us to compute the partition function of SUSY
matrix models for finite N (N is the rank of matrices) with arbitrary
superpotential at least in the leading nontrivial order of an expansion with
respect to the small external field. We confirm the restoration of SUSY in the
large-N limit of a SUSY matrix model with a double-well scalar potential
observed in the previous work.
|
[
{
"created": "Thu, 30 Sep 2010 10:51:31 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Oct 2010 06:21:04 GMT",
"version": "v2"
},
{
"created": "Fri, 3 Dec 2010 06:22:12 GMT",
"version": "v3"
}
] |
2015-05-20
|
[
[
"Kuroki",
"Tsunehide",
""
],
[
"Sugino",
"Fumihiko",
""
]
] |
In the previous work, it was shown that, in supersymmetric (matrix) discretized quantum mechanics, inclusion of an external field twisting the boundary condition of fermions enables us to discuss spontaneous breaking of supersymmetry (SUSY) in the path-integral formalism in a well-defined way. In the present work, we continue investigating the same systems from the points of view of localization and Nicolai mapping. The localization is studied by changing of integration variables in the path integral, which is applicable whether or not SUSY is explicitly broken. We examine in detail how the integrand of the partition function with respect to the integral over the auxiliary field behaves as the auxiliary field vanishes, which clarifies a mechanism of the localization. In SUSY matrix models, we obtain a matrix-model generalization of the localization formula. In terms of eigenvalues of matrix variables, we observe that eigenvalues' dynamics is governed by balance of attractive force from the localization and repulsive force from the Vandermonde determinant. The approach of the Nicolai mapping works even in the presence of the external field. It enables us to compute the partition function of SUSY matrix models for finite N (N is the rank of matrices) with arbitrary superpotential at least in the leading nontrivial order of an expansion with respect to the small external field. We confirm the restoration of SUSY in the large-N limit of a SUSY matrix model with a double-well scalar potential observed in the previous work.
|
hep-th/0112201
|
Winder Alexander de Moura-Melo
|
Winder A. Moura-Melo and J.A. Helayel-Neto
|
Generalized Gauge Transformations and Regularized $\lambda\phi^{4}$-type
Abelian Vertices
|
11 pages, no figures. Latex format. Submitted to New Journal Physics
| null | null | null |
hep-th
| null |
Abelian Lagrangians containing $\lambda\phi^{4}$-type vertices are
regularized by means of a suitable point-splitting scheme combined with
generalized gauge transformations. The calculation is developped in details for
a general Lagrangian whose fields (gauge and matter ones) satisfy usual
conditions. We illustrate our results by considering some special cases, such
as the $(\bar{\psi}\psi)^{2}$ and the Avdeev-Chizhov models. Possible
application of our results to the Abelian Higgs model, whenever spontaneous
symmetry breaking is considered, is also discussed. We also pay attention to a
number of features of the point-split action such as the regularity and
non-locality of its new ``interacting terms''.
|
[
{
"created": "Thu, 20 Dec 2001 18:44:44 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Moura-Melo",
"Winder A.",
""
],
[
"Helayel-Neto",
"J. A.",
""
]
] |
Abelian Lagrangians containing $\lambda\phi^{4}$-type vertices are regularized by means of a suitable point-splitting scheme combined with generalized gauge transformations. The calculation is developped in details for a general Lagrangian whose fields (gauge and matter ones) satisfy usual conditions. We illustrate our results by considering some special cases, such as the $(\bar{\psi}\psi)^{2}$ and the Avdeev-Chizhov models. Possible application of our results to the Abelian Higgs model, whenever spontaneous symmetry breaking is considered, is also discussed. We also pay attention to a number of features of the point-split action such as the regularity and non-locality of its new ``interacting terms''.
|
hep-th/0504204
|
Leszek Hadasz
|
Leszek Hadasz, Zbigniew Jaskolski and Marcin Piatek
|
Classical geometry from the quantum Liouville theory
|
26 pages, 9 eps figures. Version 2: references added
|
Nucl.Phys. B724 (2005) 529-554
|
10.1016/j.nuclphysb.2005.07.003
|
TPJU - 5/2005, 0104/2005 IFT UWr
|
hep-th
| null |
Zamolodchikov's recursion relations are used to analyze the existence and
approximations to the classical conformal block in the case of four parabolic
weights. Strong numerical evidence is found that the saddle point momenta
arising in the classical limit of the DOZZ quantum Liouville theory are simply
related to the geodesic length functions of the hyperbolic geometry on the
4-punctured Riemann sphere. Such relation provides new powerful methods for
both numerical and analytical calculations of these functions. The consistency
conditions for the factorization of the 4-point classical Liouville action in
different channels are numerically verified. The factorization yields efficient
numerical methods to calculate the 4-point classical action and, by the
Polyakov conjecture, the accessory parameters of the Fuchsian uniformization of
the 4-punctured sphere.
|
[
{
"created": "Mon, 25 Apr 2005 19:41:27 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Apr 2005 11:52:04 GMT",
"version": "v2"
}
] |
2010-04-05
|
[
[
"Hadasz",
"Leszek",
""
],
[
"Jaskolski",
"Zbigniew",
""
],
[
"Piatek",
"Marcin",
""
]
] |
Zamolodchikov's recursion relations are used to analyze the existence and approximations to the classical conformal block in the case of four parabolic weights. Strong numerical evidence is found that the saddle point momenta arising in the classical limit of the DOZZ quantum Liouville theory are simply related to the geodesic length functions of the hyperbolic geometry on the 4-punctured Riemann sphere. Such relation provides new powerful methods for both numerical and analytical calculations of these functions. The consistency conditions for the factorization of the 4-point classical Liouville action in different channels are numerically verified. The factorization yields efficient numerical methods to calculate the 4-point classical action and, by the Polyakov conjecture, the accessory parameters of the Fuchsian uniformization of the 4-punctured sphere.
|
hep-th/0703239
|
Zheng-Mao Sheng
|
Yongming Fu, Zheng-Mao Sheng
|
Noncommutative QED corrections to process $e^+e^-\to\mu^+\mu^-\gamma$ at
linear collider energies
|
15 pages, 6 figures
|
Physical Review D 75, 065025 (2007)
| null | null |
hep-th hep-ph
| null |
The cross section for process $e^+e^-\to\mu^+\mu^-\gamma$ in the framework of
noncommutative quantum electrodynamics(NC QED) is studied. It is shown that the
NC correction of scattering sections is not monotonous enhancement with total
energy of colliding electrons, but there is an optimal collision energy to get
the greatest NC correction. Moreover, there is a linear relation between NC QED
scale energy and the optimal collision energy. The experimental methods to
improve the precision of determining NC effects are discussed, because this
process is an ${\cal O}(\alpha^3) $ NC QED process, high precision tests are
necessary.
|
[
{
"created": "Tue, 27 Mar 2007 03:51:28 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Fu",
"Yongming",
""
],
[
"Sheng",
"Zheng-Mao",
""
]
] |
The cross section for process $e^+e^-\to\mu^+\mu^-\gamma$ in the framework of noncommutative quantum electrodynamics(NC QED) is studied. It is shown that the NC correction of scattering sections is not monotonous enhancement with total energy of colliding electrons, but there is an optimal collision energy to get the greatest NC correction. Moreover, there is a linear relation between NC QED scale energy and the optimal collision energy. The experimental methods to improve the precision of determining NC effects are discussed, because this process is an ${\cal O}(\alpha^3) $ NC QED process, high precision tests are necessary.
|
hep-th/0605038
|
Dmitriy Belov
|
Dmitriy Belov, Gregory W. Moore
|
Holographic Action for the Self-Dual Field
|
75 pages; 18 figures; LaTeX
| null | null |
NSF-KITP-05-120; Imperial/TP/06/DMB/01
|
hep-th
| null |
We revisit the construction of self-dual field theory in 4l+2 dimensions
using Chern-Simons theory in 4l+3 dimensions, building on the work of Witten.
Careful quantization of the Chern-Simons theory reveals all the topological
subtleties associated with the self-dual partition function, including the
generalization of the choice of spin structure needed to define the theory. We
write the partition function for arbitrary torsion background charge, and in
the presence of sources. We show how this approach leads to the formulation of
an action principle for the self-dual field.
|
[
{
"created": "Wed, 3 May 2006 14:41:28 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Belov",
"Dmitriy",
""
],
[
"Moore",
"Gregory W.",
""
]
] |
We revisit the construction of self-dual field theory in 4l+2 dimensions using Chern-Simons theory in 4l+3 dimensions, building on the work of Witten. Careful quantization of the Chern-Simons theory reveals all the topological subtleties associated with the self-dual partition function, including the generalization of the choice of spin structure needed to define the theory. We write the partition function for arbitrary torsion background charge, and in the presence of sources. We show how this approach leads to the formulation of an action principle for the self-dual field.
|
1109.1000
|
Martin Snoager Sloth
|
Steven B. Giddings and Martin S. Sloth
|
Fluctuating geometries, q-observables, and infrared growth in
inflationary spacetimes
|
33 pages, 2 figures, latex; v2: typos corrected, references improved
| null |
10.1103/PhysRevD.86.083538
|
CERN-TH-PH/2011-187
|
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Infrared growth of geometrical fluctuations in inflationary spacetimes is
investigated. The problem of gauge-invariant characterization of growth of
perturbations, which is of interest also in other spacetimes such as black
holes, is addressed by studying evolution of the lengths of curves in the
geometry. These may either connect freely falling "satellites," or wrap
non-trivial cycles of geometries like the torus, and are also used in
diffeomorphism- invariant constructions of two-point functions of field
operators. For spacelike separations significantly exceeding the Hubble scale,
no spacetime geodesic connects two events, but one may find geodesics
constrained to lie within constant-time spatial slices. In inflationary
geometries, metric perturbations produce significant and growing corrections to
the lengths of such geodesics, as we show in both quantization on an inflating
torus and in standard slow-roll inflation. These become large, signaling
breakdown of a perturbative description of the geometry via such observables,
and consistent with perturbative instability of de Sitter space. In particular,
we show that the geodesic distance on constant time slices during inflation
becomes non-perturbative a few e-folds after a given scale has left the
horizon, by distances \sim 1/H^3 \sim RS, obstructing use of such geodesics in
constructing IR-safe observables based on the spatial geometry. We briefly
discuss other possible measures of such geometrical fluctuations.
|
[
{
"created": "Mon, 5 Sep 2011 20:01:12 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Oct 2011 20:06:15 GMT",
"version": "v2"
}
] |
2013-05-30
|
[
[
"Giddings",
"Steven B.",
""
],
[
"Sloth",
"Martin S.",
""
]
] |
Infrared growth of geometrical fluctuations in inflationary spacetimes is investigated. The problem of gauge-invariant characterization of growth of perturbations, which is of interest also in other spacetimes such as black holes, is addressed by studying evolution of the lengths of curves in the geometry. These may either connect freely falling "satellites," or wrap non-trivial cycles of geometries like the torus, and are also used in diffeomorphism- invariant constructions of two-point functions of field operators. For spacelike separations significantly exceeding the Hubble scale, no spacetime geodesic connects two events, but one may find geodesics constrained to lie within constant-time spatial slices. In inflationary geometries, metric perturbations produce significant and growing corrections to the lengths of such geodesics, as we show in both quantization on an inflating torus and in standard slow-roll inflation. These become large, signaling breakdown of a perturbative description of the geometry via such observables, and consistent with perturbative instability of de Sitter space. In particular, we show that the geodesic distance on constant time slices during inflation becomes non-perturbative a few e-folds after a given scale has left the horizon, by distances \sim 1/H^3 \sim RS, obstructing use of such geodesics in constructing IR-safe observables based on the spatial geometry. We briefly discuss other possible measures of such geometrical fluctuations.
|
hep-th/9304054
| null |
J. Mickelsson and R. Percacci
|
Global Aspects of p-Branes
|
14 pages, plain TEX, SISSA 36/93/EP
|
J. Geom. Phys. 15 (1995) 369-380
|
10.1016/0393-0440(94)00016-W
| null |
hep-th
| null |
We generalize to dimension $p>1$ the notion of string structure and discuss
the related obstruction. We apply our results to a model of bosonic $p$-branes
propagating on a principal $G$-bundle, coupled to a Yang--Mills field and an
antisymmetric tensor field and in the presence of a Wess-Zumino term in the
Lagrangian. We construct the quantization line bundle and discuss the action of
background gauge transformations on wave functions.
|
[
{
"created": "Tue, 13 Apr 1993 13:29:23 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Mickelsson",
"J.",
""
],
[
"Percacci",
"R.",
""
]
] |
We generalize to dimension $p>1$ the notion of string structure and discuss the related obstruction. We apply our results to a model of bosonic $p$-branes propagating on a principal $G$-bundle, coupled to a Yang--Mills field and an antisymmetric tensor field and in the presence of a Wess-Zumino term in the Lagrangian. We construct the quantization line bundle and discuss the action of background gauge transformations on wave functions.
|
2401.12045
|
Masanori Hanada
|
Georg Bergner, Masanori Hanada, Enrico Rinaldi, Andreas Schafer
|
Toward QCD on Quantum Computer: Orbifold Lattice Approach
|
24 pages. v2: Some types were fixed. v3: to appear in JHEP
| null | null |
RIKEN-iTHEMS-Report-24
|
hep-th hep-lat hep-ph nucl-th quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We propose an orbifold lattice formulation of QCD suitable for quantum
simulations. We show explicitly how to encode gauge degrees of freedom into
qubits using noncompact variables, and how to write down a simple truncated
Hamiltonian in the coordinate basis. We show that SU(3) gauge group variables
and quarks in the fundamental representation can be implemented
straightforwardly on qubits, for arbitrary truncation of the gauge manifold.
|
[
{
"created": "Mon, 22 Jan 2024 15:36:15 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Feb 2024 18:29:21 GMT",
"version": "v2"
},
{
"created": "Sat, 25 May 2024 17:43:34 GMT",
"version": "v3"
}
] |
2024-05-28
|
[
[
"Bergner",
"Georg",
""
],
[
"Hanada",
"Masanori",
""
],
[
"Rinaldi",
"Enrico",
""
],
[
"Schafer",
"Andreas",
""
]
] |
We propose an orbifold lattice formulation of QCD suitable for quantum simulations. We show explicitly how to encode gauge degrees of freedom into qubits using noncompact variables, and how to write down a simple truncated Hamiltonian in the coordinate basis. We show that SU(3) gauge group variables and quarks in the fundamental representation can be implemented straightforwardly on qubits, for arbitrary truncation of the gauge manifold.
|
hep-th/9606156
|
Philippe Brax
|
Ph. Brax (DAMTP-University of Cambridge-UK)
|
A Renormalisation Group Analysis of 2d Freely Decaying
Magnetohydrodynamic Turbulence
|
9 pages , tex file
| null | null |
DAMTP/96-38, SPhT/96-033
|
hep-th
| null |
We study two dimensional freely decaying magnetohydrodynamic turbulence. We
investigate the time evolution of the probability law of the gauge field and
the stream function. Assuming that this probability law is initially defined by
a statistical field theory in the basin of attraction of a renormalisation
group fixed point, we show that its time evolution is generated by
renormalisation transformations. In the long time regime, the probability law
is described by non-unitary conformal field theories. In that case, we prove
that the kinetic and magnetic energy spectra are proportional. We then
construct a family of fixed points using the $(p,p+2)$ non-unitary minimal
models of conformal field theories.
|
[
{
"created": "Tue, 25 Jun 1996 09:49:00 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Brax",
"Ph.",
"",
"DAMTP-University of Cambridge-UK"
]
] |
We study two dimensional freely decaying magnetohydrodynamic turbulence. We investigate the time evolution of the probability law of the gauge field and the stream function. Assuming that this probability law is initially defined by a statistical field theory in the basin of attraction of a renormalisation group fixed point, we show that its time evolution is generated by renormalisation transformations. In the long time regime, the probability law is described by non-unitary conformal field theories. In that case, we prove that the kinetic and magnetic energy spectra are proportional. We then construct a family of fixed points using the $(p,p+2)$ non-unitary minimal models of conformal field theories.
|
1805.05650
|
Yu-Xiao Liu
|
Wen-Di Guo, Yi Zhong, Ke Yang, Tao-Tao Sui, Yu-Xiao Liu
|
Thick brane in mimetic $f(T)$ gravity
|
7 pages, 6 figures
|
Phys.Lett.B 800 (2020) 135099
|
10.1016/j.physletb.2019.135099
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We apply the mimetic $f(T)$ theory into the thick brane model. We take the
Lagrange multiplier formulation of the action and get the corresponding field
equations of motion. We find solutions for different kinds of $f(T)$. Besides,
we investigate the stability of the mimetic $f(T)$ brane by considering the
tensor perturbations of the vielbein. Localization problem is also studied and
it is shown that the four-dimensional gravity can be recovered for all the
solutions. The effects of the torsion show that for the polynomial form of
$f(T)$, the zero mode has a split compared with that of $f(T)=T$, but the
situations for the exponential form of $f(T)$ are similar to that of $f(T)=T$.
|
[
{
"created": "Tue, 15 May 2018 08:59:02 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Jun 2018 02:50:02 GMT",
"version": "v2"
},
{
"created": "Fri, 22 Apr 2022 14:49:54 GMT",
"version": "v3"
}
] |
2024-02-26
|
[
[
"Guo",
"Wen-Di",
""
],
[
"Zhong",
"Yi",
""
],
[
"Yang",
"Ke",
""
],
[
"Sui",
"Tao-Tao",
""
],
[
"Liu",
"Yu-Xiao",
""
]
] |
We apply the mimetic $f(T)$ theory into the thick brane model. We take the Lagrange multiplier formulation of the action and get the corresponding field equations of motion. We find solutions for different kinds of $f(T)$. Besides, we investigate the stability of the mimetic $f(T)$ brane by considering the tensor perturbations of the vielbein. Localization problem is also studied and it is shown that the four-dimensional gravity can be recovered for all the solutions. The effects of the torsion show that for the polynomial form of $f(T)$, the zero mode has a split compared with that of $f(T)=T$, but the situations for the exponential form of $f(T)$ are similar to that of $f(T)=T$.
|
hep-th/9306094
|
Stefan Mashkevich
|
Stefan V. Mashkevich
|
Exact Multiplicities in the Three-Anyon Spectrum
|
16 pages plus 3 postscript figures, Kiev Institute for Theoretical
Physics preprint ITP-93-32E
|
Phys.Rev.D48:5946-5952,1993
|
10.1103/PhysRevD.48.5946
| null |
hep-th cond-mat
| null |
Using the symmetry properties of the three-anyon spectrum, we obtain exactly
the multiplicities of states with given energy and angular momentum. The
results are shown to be in agreement with the proper quantum mechanical and
semiclassical considerations, and the unexplained points are indicated.
|
[
{
"created": "Sun, 20 Jun 1993 17:18:21 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Mashkevich",
"Stefan V.",
""
]
] |
Using the symmetry properties of the three-anyon spectrum, we obtain exactly the multiplicities of states with given energy and angular momentum. The results are shown to be in agreement with the proper quantum mechanical and semiclassical considerations, and the unexplained points are indicated.
|
1603.05929
|
Dimitrios Zoakos
|
George Georgiou, Dimitrios Zoakos
|
Entanglement Entropy of the N=4 SYM spin chain
|
33 pages, 12 figures; v2: Typos corrected and a new appendix with the
Bethe roots added; JHEP published version
|
JHEP 1606 (2016) 099
|
10.1007/JHEP06(2016)099
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a detailed study of the Entanglement Entropy (EE) of excited
states in all closed rank one subsectors of N=4 SYM, namely SU(2), SU(1|1) and
SL(2). Exploiting the techniques of the Coordinate and the Algebraic Bethe
Ansatz we obtain the EE for spin chains with up to seven magnons, at leading
order in the coupling expansion but exact in the length of the spin chain and
of the part of it that we cut. Focusing on the superconformal primary operator
with two magnons in the BMN limit, we derive analytic and exact, in the
coupling $\lambda'$, expressions for the Renyi and the EE. The interpolating
functions for the Renyi and the EE monotonically increase as the coupling
increases from the weak coupling $\lambda' \rightarrow 0$ regime to the strong
coupling $\lambda' \rightarrow \infty$ regime. This results to a violation of a
certain bound for the EE that is present at weak coupling and confirms the
physical intuition that entanglement increases when the coupling increases.
|
[
{
"created": "Fri, 18 Mar 2016 17:06:41 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Aug 2016 10:11:22 GMT",
"version": "v2"
}
] |
2016-08-30
|
[
[
"Georgiou",
"George",
""
],
[
"Zoakos",
"Dimitrios",
""
]
] |
We present a detailed study of the Entanglement Entropy (EE) of excited states in all closed rank one subsectors of N=4 SYM, namely SU(2), SU(1|1) and SL(2). Exploiting the techniques of the Coordinate and the Algebraic Bethe Ansatz we obtain the EE for spin chains with up to seven magnons, at leading order in the coupling expansion but exact in the length of the spin chain and of the part of it that we cut. Focusing on the superconformal primary operator with two magnons in the BMN limit, we derive analytic and exact, in the coupling $\lambda'$, expressions for the Renyi and the EE. The interpolating functions for the Renyi and the EE monotonically increase as the coupling increases from the weak coupling $\lambda' \rightarrow 0$ regime to the strong coupling $\lambda' \rightarrow \infty$ regime. This results to a violation of a certain bound for the EE that is present at weak coupling and confirms the physical intuition that entanglement increases when the coupling increases.
|
1012.3984
|
Christoph Sieg
|
C. Sieg
|
Review of AdS/CFT Integrability, Chapter I.2: The spectrum from
perturbative gauge theory
|
24 pages, see also overview article arXiv:1012.3982, v2: references
to other chapters updated, v3: formulations improved, reference added, final
version
| null |
10.1007/s11005-011-0508-7
|
HU-MATH-2010-23; HU-EP-10/88
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review the constructions and tests of the dilatation operator and of the
spectrum of composite operators in the flavour SU(2) subsector of N=4 SYM in
the planar limit by explicit Feynman graph calculations with emphasis on
analyses beyond one loop. From four loops on, the dilatation operator
determines the spectrum only in the asymptotic regime, i.e. to a loop order
which is strictly smaller than the number of elementary fields of the composite
operators. We review also the calculations which take a first step beyond this
limitation by including the leading wrapping corrections.
|
[
{
"created": "Fri, 17 Dec 2010 20:58:03 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Dec 2010 19:06:33 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Dec 2011 12:54:26 GMT",
"version": "v3"
}
] |
2015-05-20
|
[
[
"Sieg",
"C.",
""
]
] |
We review the constructions and tests of the dilatation operator and of the spectrum of composite operators in the flavour SU(2) subsector of N=4 SYM in the planar limit by explicit Feynman graph calculations with emphasis on analyses beyond one loop. From four loops on, the dilatation operator determines the spectrum only in the asymptotic regime, i.e. to a loop order which is strictly smaller than the number of elementary fields of the composite operators. We review also the calculations which take a first step beyond this limitation by including the leading wrapping corrections.
|
hep-th/0112256
|
Takao Koikawa
|
Takao Koikawa
|
Equivalence of Weyl Vacuum and Normal Ordered Vacuum in the Moyal
Quantization
|
8 pages
|
Prog.Theor.Phys. 107 (2002) 1061-1067
|
10.1143/PTP.107.1061
| null |
hep-th
| null |
We study the features of the vacuum of the harmonic oscillator in the Moyal
quantization. Two vacua are defined, one with the normal ordering and the other
with the Weyl ordering. Their equivalence is shown by using a differential
equation satisfied by the normal ordered vacuum.
|
[
{
"created": "Sun, 30 Dec 2001 10:42:42 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Koikawa",
"Takao",
""
]
] |
We study the features of the vacuum of the harmonic oscillator in the Moyal quantization. Two vacua are defined, one with the normal ordering and the other with the Weyl ordering. Their equivalence is shown by using a differential equation satisfied by the normal ordered vacuum.
|
hep-th/9510076
|
Phillial Oh
|
Sang-Ok Hahn, Phillial Oh and Myung-Ho Kim
|
Quantum Mechanics of Integrable Spins on Coadjoint Orbits
|
14 pages, Revtex, revised virsion
|
J.KoreanPhys.Soc.29:409-414,1996
| null |
SNUTP/95-092
|
hep-th
| null |
We investigate classical integrable spins defined on the reduced phase spaces
of coadjoint orbits of $G= SU(N)$ and study quantum mechanics of them.
After discussions on a complete set of commuting functions on each orbit and
construction of integrable spin models on the flag manifolds, we quantize a
concrete example of integrable spins on SU(3) flag manifold in the coherent
state quantization scheme and solve explicitly the time-dependent Schr\"odinger
equation.
|
[
{
"created": "Thu, 12 Oct 1995 02:59:09 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Apr 1996 06:34:52 GMT",
"version": "v2"
}
] |
2016-09-06
|
[
[
"Hahn",
"Sang-Ok",
""
],
[
"Oh",
"Phillial",
""
],
[
"Kim",
"Myung-Ho",
""
]
] |
We investigate classical integrable spins defined on the reduced phase spaces of coadjoint orbits of $G= SU(N)$ and study quantum mechanics of them. After discussions on a complete set of commuting functions on each orbit and construction of integrable spin models on the flag manifolds, we quantize a concrete example of integrable spins on SU(3) flag manifold in the coherent state quantization scheme and solve explicitly the time-dependent Schr\"odinger equation.
|
1908.00915
|
Rommel Guerrero
|
Rommel Guerrero, R. Omar Rodriguez, Francisco Carreras
|
Massless fermions localization on domain walls
|
5 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Massless fermions on scalar domain walls are considered. Two walls are
established, corresponding to 5-dimensional static spacetime asymptotically
Anti de-Sitter, differentiated by the symmetry around the wall, and in each
case massless chiral fermions are coupled to the wall by a Yukawa term. We
identify a normalizable state associated to the migration of fermions toward
the edge of the wall. This effect is generated by the competition between the
Yukawa interaction and the gravitational repulsion on the matter fields, and it
is independent of the $Z_2$ symmetry of the wall.
|
[
{
"created": "Fri, 2 Aug 2019 15:38:53 GMT",
"version": "v1"
}
] |
2019-08-05
|
[
[
"Guerrero",
"Rommel",
""
],
[
"Rodriguez",
"R. Omar",
""
],
[
"Carreras",
"Francisco",
""
]
] |
Massless fermions on scalar domain walls are considered. Two walls are established, corresponding to 5-dimensional static spacetime asymptotically Anti de-Sitter, differentiated by the symmetry around the wall, and in each case massless chiral fermions are coupled to the wall by a Yukawa term. We identify a normalizable state associated to the migration of fermions toward the edge of the wall. This effect is generated by the competition between the Yukawa interaction and the gravitational repulsion on the matter fields, and it is independent of the $Z_2$ symmetry of the wall.
|
hep-th/0608213
|
Tomoyoshi Hirata
|
Tomoyoshi Hirata and Tadashi Takayanagi
|
AdS/CFT and Strong Subadditivity of Entanglement Entropy
|
29 pages, harvmac, 7 figures, references added
|
JHEP 0702:042,2007
|
10.1088/1126-6708/2007/02/042
|
KUNS-2038
|
hep-th cond-mat.str-el gr-qc quant-ph
| null |
Recently, a holographic computation of the entanglement entropy in conformal
field theories has been proposed via the AdS/CFT correspondence. One of the
most important properties of the entanglement entropy is known as the strong
subadditivity. This requires that the entanglement entropy should be a concave
function with respect to geometric parameters. It is a non-trivial check on the
proposal to see if this property is indeed satisfied by the entropy computed
holographically. In this paper we examine several examples which are defined by
annuli or cusps, and confirm the strong subadditivity via direct calculations.
Furthermore, we conjecture that Wilson loop correlators in strongly coupled
gauge theories satisfy the same relation. We also discuss the relation between
the holographic entanglement entropy and the Bousso bound.
|
[
{
"created": "Wed, 30 Aug 2006 10:11:53 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Sep 2006 11:51:02 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"Hirata",
"Tomoyoshi",
""
],
[
"Takayanagi",
"Tadashi",
""
]
] |
Recently, a holographic computation of the entanglement entropy in conformal field theories has been proposed via the AdS/CFT correspondence. One of the most important properties of the entanglement entropy is known as the strong subadditivity. This requires that the entanglement entropy should be a concave function with respect to geometric parameters. It is a non-trivial check on the proposal to see if this property is indeed satisfied by the entropy computed holographically. In this paper we examine several examples which are defined by annuli or cusps, and confirm the strong subadditivity via direct calculations. Furthermore, we conjecture that Wilson loop correlators in strongly coupled gauge theories satisfy the same relation. We also discuss the relation between the holographic entanglement entropy and the Bousso bound.
|
hep-th/0401004
|
Alberto Zaffaroni
|
L. Pilo, A. Riotto and A. Zaffaroni
|
Old Inflation in String Theory
|
31 pages, 3 figures; typos corrected and reference added
|
JHEP 0407 (2004) 052
|
10.1088/1126-6708/2004/07/052
| null |
hep-th astro-ph hep-ph
| null |
We propose a stringy version of the old inflation scenario which does not
require any slow-roll inflaton potential and is based on a specific example of
string compatification with warped metric. Our set-up admits the presence of
anti-D3-branes in the deep infrared region of the metric and a false vacuum
state with positive vacuum energy density. The latter is responsible for the
accelerated period of inflation. The false vacuum exists only if the number of
anti-D3-branes is smaller than a critical number and the graceful exit from
inflation is attained if a number of anti-D3-branes travels from the
ultraviolet towards the infrared region. The cosmological curvature
perturbation is generated through the curvaton mechanism.
|
[
{
"created": "Mon, 5 Jan 2004 11:16:17 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Jan 2004 10:20:23 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Pilo",
"L.",
""
],
[
"Riotto",
"A.",
""
],
[
"Zaffaroni",
"A.",
""
]
] |
We propose a stringy version of the old inflation scenario which does not require any slow-roll inflaton potential and is based on a specific example of string compatification with warped metric. Our set-up admits the presence of anti-D3-branes in the deep infrared region of the metric and a false vacuum state with positive vacuum energy density. The latter is responsible for the accelerated period of inflation. The false vacuum exists only if the number of anti-D3-branes is smaller than a critical number and the graceful exit from inflation is attained if a number of anti-D3-branes travels from the ultraviolet towards the infrared region. The cosmological curvature perturbation is generated through the curvaton mechanism.
|
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