id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9711010 | Nissan Itzhaki | A. Brandhuber, N. Itzhaki, J. Sonnenschein and S. Yankielowicz | More on Probing Branes with Branes | 14 pages, version to appear in PLB | Phys.Lett. B423 (1998) 238-246 | 10.1016/S0370-2693(98)00158-0 | TAUP-2466-97 | hep-th | null | We generalize the Gibbons-Wiltshire solution of four dimensional Kaluza-Klein
black holes in order to describe Type IIA solutions of bound states of D6 and
D0-branes. We probe the solutions with a D6-brane and a D0-brane. We also probe
a system of D2+D0-branes and of a D2-brane bound to a F1-string with a
D2-brane. A precise agreement between the SYM and the SUGRA calculations is
found for the static force as well as for the $v^2$ force in all cases.
| [
{
"created": "Mon, 3 Nov 1997 17:19:19 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Feb 1998 10:43:06 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Brandhuber",
"A.",
""
],
[
"Itzhaki",
"N.",
""
],
[
"Sonnenschein",
"J.",
""
],
[
"Yankielowicz",
"S.",
""
]
] | We generalize the Gibbons-Wiltshire solution of four dimensional Kaluza-Klein black holes in order to describe Type IIA solutions of bound states of D6 and D0-branes. We probe the solutions with a D6-brane and a D0-brane. We also probe a system of D2+D0-branes and of a D2-brane bound to a F1-string with a D2-brane. A precise agreement between the SYM and the SUGRA calculations is found for the static force as well as for the $v^2$ force in all cases. |
hep-th/0010263 | Paolo Carta | Mariano Cadoni and Paolo Carta | Open Strings, Holography and Stochastic Processes | 11 pages | JHEP 0101:007,2001 | 10.1088/1126-6708/2001/01/007 | INFNCA-TH00017 | hep-th | null | We use the correspondence between string states and local operators on the
world-sheet boundary defined by vertex operators in open string theory to put
in correspondence, holographically, the bosonic open string with the large N
limit of a mechanical system living on the world-sheet boundary. We give a
natural interpretation of this system in terms of a one-dimensional stochastic
process and show that the correspondence takes the form of a map between two
conformal field theories with central charge c=24 and c=1.
| [
{
"created": "Fri, 27 Oct 2000 19:03:50 GMT",
"version": "v1"
}
] | 2010-02-03 | [
[
"Cadoni",
"Mariano",
""
],
[
"Carta",
"Paolo",
""
]
] | We use the correspondence between string states and local operators on the world-sheet boundary defined by vertex operators in open string theory to put in correspondence, holographically, the bosonic open string with the large N limit of a mechanical system living on the world-sheet boundary. We give a natural interpretation of this system in terms of a one-dimensional stochastic process and show that the correspondence takes the form of a map between two conformal field theories with central charge c=24 and c=1. |
2201.13310 | Horacio Casini | Horacio Casini and Marina Huerta | Lectures on entanglement in quantum field theory | 95 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | These notes grew from a series of lectures given by the authors during the
last decade. They will be published in the proceedings of TASI 2021. After a
brief introduction to quantum information theory tools, they are organized in
four chapters covering the following subjects: Entanglement in quantum field
theory, Irreversibility theorems, Energy-entropy bounds, Entanglement and
symmetries.
| [
{
"created": "Mon, 31 Jan 2022 16:02:17 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Mar 2023 18:05:52 GMT",
"version": "v2"
}
] | 2023-03-24 | [
[
"Casini",
"Horacio",
""
],
[
"Huerta",
"Marina",
""
]
] | These notes grew from a series of lectures given by the authors during the last decade. They will be published in the proceedings of TASI 2021. After a brief introduction to quantum information theory tools, they are organized in four chapters covering the following subjects: Entanglement in quantum field theory, Irreversibility theorems, Energy-entropy bounds, Entanglement and symmetries. |
2404.02955 | Elias Furrer Dr | Elias Furrer, Horia Magureanu | Coulomb branch surgery: Holonomy saddles, S-folds and discrete symmetry
gaugings | 52 pages + appendices, 10 figures. v2: minor changes, references
added | null | null | null | hep-th math.AG | http://creativecommons.org/licenses/by/4.0/ | Symmetries of Seiberg-Witten (SW) geometries capture intricate physical
aspects of the underlying 4d $\mathcal{N} = 2$ field theories. For rank-one
theories, these geometries are rational elliptic surfaces whose automorphism
group is a semi-direct product between the Coulomb branch (CB) symmetries and
the Mordell-Weil group. We study quotients of the SW geometry by subgroups of
its automorphism group, which most naturally become gaugings of discrete 0- and
1-form symmetries. Yet, new interpretations of these surgeries become evident
when considering 5d $\mathcal{N}=1$ superconformal field theories. There,
certain CB symmetries are related to symmetries of the corresponding
$(p,q)$-brane web and, as a result, CB surgeries can give rise to (fractional)
S-folds. Another novel interpretation of these quotients is the folding across
dimensions: circle compactifications of the 5d $E_{2N_f + 1}$ Seiberg theories
lead in the infrared to two copies of locally indistinguishable 4d SU(2) SQCD
theories with $N_f$ fundamental flavours. This extends earlier results on
holonomy saddles, while also reproducing detailed computations of 5d BPS
spectra and predicting new 5d and 6d BPS quivers. Finally, we argue that the
semi-direct product structure of the automorphism group of the SW geometry
includes mixed 't Hooft anomalies between the 0- and 1-form symmetries, and we
also present some new results on non-cyclic CB symmetries.
| [
{
"created": "Wed, 3 Apr 2024 18:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Jul 2024 11:46:33 GMT",
"version": "v2"
}
] | 2024-07-17 | [
[
"Furrer",
"Elias",
""
],
[
"Magureanu",
"Horia",
""
]
] | Symmetries of Seiberg-Witten (SW) geometries capture intricate physical aspects of the underlying 4d $\mathcal{N} = 2$ field theories. For rank-one theories, these geometries are rational elliptic surfaces whose automorphism group is a semi-direct product between the Coulomb branch (CB) symmetries and the Mordell-Weil group. We study quotients of the SW geometry by subgroups of its automorphism group, which most naturally become gaugings of discrete 0- and 1-form symmetries. Yet, new interpretations of these surgeries become evident when considering 5d $\mathcal{N}=1$ superconformal field theories. There, certain CB symmetries are related to symmetries of the corresponding $(p,q)$-brane web and, as a result, CB surgeries can give rise to (fractional) S-folds. Another novel interpretation of these quotients is the folding across dimensions: circle compactifications of the 5d $E_{2N_f + 1}$ Seiberg theories lead in the infrared to two copies of locally indistinguishable 4d SU(2) SQCD theories with $N_f$ fundamental flavours. This extends earlier results on holonomy saddles, while also reproducing detailed computations of 5d BPS spectra and predicting new 5d and 6d BPS quivers. Finally, we argue that the semi-direct product structure of the automorphism group of the SW geometry includes mixed 't Hooft anomalies between the 0- and 1-form symmetries, and we also present some new results on non-cyclic CB symmetries. |
1208.2937 | Andrei Parnachev | Manuela Kulaxizi, Andrei Parnachev and Koenraad Schalm | On Holographic Entanglement Entropy of Charged Matter | harvmac, 26 pages, 9 figures; v2: minor corrections | JHEP 1210 (2012) 098 | 10.1007/JHEP10(2012)098 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study holographic entanglement entropy in the background of charged
dilatonic black holes which can be viewed as holographic duals of certain
finite density states of N=4 super Yang-Mills. These charged black holes are
distinguished in that they have vanishing ground state entropy. The
entanglement entropy for a slab experiences a second order phase transition as
the thickness of the slab is varied, while the entanglement entropy for a
sphere is a smooth function of the radius. This suggests that the second scale
introduced by the anisotropy of the slab plays an important role in driving the
phase transition. In both cases we do not observe any logarithmic violation of
the area law indicative of hidden Fermi surfaces. We investigate how these
results are affected by the inclusion of the Gauss-Bonnet term in the bulk
gravitational action. We also observe that such addition to the bulk action
does not change the logarithmic violation of the area law in the backgrounds
with hyperscaling violation.
| [
{
"created": "Tue, 14 Aug 2012 18:21:44 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Sep 2012 12:24:07 GMT",
"version": "v2"
}
] | 2012-10-22 | [
[
"Kulaxizi",
"Manuela",
""
],
[
"Parnachev",
"Andrei",
""
],
[
"Schalm",
"Koenraad",
""
]
] | We study holographic entanglement entropy in the background of charged dilatonic black holes which can be viewed as holographic duals of certain finite density states of N=4 super Yang-Mills. These charged black holes are distinguished in that they have vanishing ground state entropy. The entanglement entropy for a slab experiences a second order phase transition as the thickness of the slab is varied, while the entanglement entropy for a sphere is a smooth function of the radius. This suggests that the second scale introduced by the anisotropy of the slab plays an important role in driving the phase transition. In both cases we do not observe any logarithmic violation of the area law indicative of hidden Fermi surfaces. We investigate how these results are affected by the inclusion of the Gauss-Bonnet term in the bulk gravitational action. We also observe that such addition to the bulk action does not change the logarithmic violation of the area law in the backgrounds with hyperscaling violation. |
hep-th/0310079 | Philippe Brax | Ph.Brax, J.Mourad and D.A.Steer | On Tachyon kinks from the DBI action | proceedings of the second string phenomenology conference, Durham,
30th July to 4th August 2003 | null | null | null | hep-th | null | We consider solitonic solutions of the DBI tachyon effective action for a
non-BPS brane in the presence of an electric field. We find that for a constant
electric field $\tilde E\le 1$, regular solitons compactified on a circle admit
a singular and decompactified limit corresponding to Sen's proposal provided
the tachyon potential satisfies some restrictions. On the other hand for the
critical electric field $\tilde E=1$, regular and finite energy solitons are
constructed without any restriction on the potential.
| [
{
"created": "Wed, 8 Oct 2003 15:55:22 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Brax",
"Ph.",
""
],
[
"Mourad",
"J.",
""
],
[
"Steer",
"D. A.",
""
]
] | We consider solitonic solutions of the DBI tachyon effective action for a non-BPS brane in the presence of an electric field. We find that for a constant electric field $\tilde E\le 1$, regular solitons compactified on a circle admit a singular and decompactified limit corresponding to Sen's proposal provided the tachyon potential satisfies some restrictions. On the other hand for the critical electric field $\tilde E=1$, regular and finite energy solitons are constructed without any restriction on the potential. |
hep-th/9710056 | null | Sahng-Kyoon Yoo and D.K.Park | The Second Virial Coefficient of Spin-1/2 Interacting Anyon System | 9 pages, 2 figs included | J.Phys.A32:921-925,1999 | 10.1088/0305-4470/32/6/006 | null | hep-th | null | Evaluating the propagator by the usual time-sliced manner, we use it to
compute the second virial coefficient of an anyon gas interacting through the
repulsive potential of the form $g/r^2 (g > 0)$. All the cusps for the
unpolarized spin-1/2 as well as spinless cases disappear in the $\omega \to 0$
limit, where $\omega$ is a frequency of harmonic oscillator which is introduced
as a regularization method. As $g$ approaches to zero, the result reduces to
the noninteracting hard-core limit.
| [
{
"created": "Tue, 7 Oct 1997 11:53:28 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Yoo",
"Sahng-Kyoon",
""
],
[
"Park",
"D. K.",
""
]
] | Evaluating the propagator by the usual time-sliced manner, we use it to compute the second virial coefficient of an anyon gas interacting through the repulsive potential of the form $g/r^2 (g > 0)$. All the cusps for the unpolarized spin-1/2 as well as spinless cases disappear in the $\omega \to 0$ limit, where $\omega$ is a frequency of harmonic oscillator which is introduced as a regularization method. As $g$ approaches to zero, the result reduces to the noninteracting hard-core limit. |
1804.02848 | Yasuhiro Abe | Yasuhiro Abe | Abelian Chern-Simons theory on the torus and physical views on the Hecke
operators | 19 pages. arXiv admin note: text overlap with arXiv:1711.07122 | null | null | null | hep-th math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the previous paper arXiv:1711.07122, we show that a holomorphic zero-mode
wave function in abelian Chern-Simons theory on the torus can be considered as
a quantum version of a modular form of weight 2. Motivated by this result, in
this paper we consider an action of a Hecke operator on such a wave function
from a gauge theoretic perspective. This leads us to obtain some physical views
on the Hecke operators in number theory.
| [
{
"created": "Mon, 9 Apr 2018 07:17:44 GMT",
"version": "v1"
}
] | 2018-04-11 | [
[
"Abe",
"Yasuhiro",
""
]
] | In the previous paper arXiv:1711.07122, we show that a holomorphic zero-mode wave function in abelian Chern-Simons theory on the torus can be considered as a quantum version of a modular form of weight 2. Motivated by this result, in this paper we consider an action of a Hecke operator on such a wave function from a gauge theoretic perspective. This leads us to obtain some physical views on the Hecke operators in number theory. |
1903.06389 | Ryo Yokokura | Yoshimasa Hidaka, Yuji Hirono, Muneto Nitta, Yuya Tanizaki, Ryo
Yokokura | Topological order in a color-flavor locked phase of $(3+1)$-dimensional
$U(N)$ gauge-Higgs system | v1: 25 pages, 3 figures; v2: 30 pages, 3 figures, discussion
including a theta term and references added, published version | Phys. Rev. D 100, 125016 (2019) | 10.1103/PhysRevD.100.125016 | RIKEN-iTHEMS-Report-19, RIKEN-QHP-409, KEK-TH-2180 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a $(3+1)$-dimensional $U(N)$ gauge theory with $N$-flavor
fundamental scalar fields, whose color-flavor locked (CFL) phase has
topologically stable non-Abelian vortices. The $U(1)$ charge of the scalar
fields must be $Nk+1$ for some integer $k$ in order for them to be in the
representation of $U(N)$ gauge group. This theory has a $\mathbb{Z}_{Nk+1}$
one-form symmetry, and it is spontaneously broken in the CFL phase, i.e., the
CFL phase is topologically ordered if $k\not=0$. We also find that the world
sheet of topologically stable vortices in CFL phase can generate this one-form
symmetry.
| [
{
"created": "Fri, 15 Mar 2019 07:24:09 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Dec 2019 11:29:52 GMT",
"version": "v2"
}
] | 2019-12-25 | [
[
"Hidaka",
"Yoshimasa",
""
],
[
"Hirono",
"Yuji",
""
],
[
"Nitta",
"Muneto",
""
],
[
"Tanizaki",
"Yuya",
""
],
[
"Yokokura",
"Ryo",
""
]
] | We study a $(3+1)$-dimensional $U(N)$ gauge theory with $N$-flavor fundamental scalar fields, whose color-flavor locked (CFL) phase has topologically stable non-Abelian vortices. The $U(1)$ charge of the scalar fields must be $Nk+1$ for some integer $k$ in order for them to be in the representation of $U(N)$ gauge group. This theory has a $\mathbb{Z}_{Nk+1}$ one-form symmetry, and it is spontaneously broken in the CFL phase, i.e., the CFL phase is topologically ordered if $k\not=0$. We also find that the world sheet of topologically stable vortices in CFL phase can generate this one-form symmetry. |
2106.11142 | Hiroshi Suzuki | Yuki Miyakawa and Hiroshi Suzuki | Gradient flow exact renormalization group -- inclusion of fermion fields | 23 pages, the final version to appear in PTEP | Prog Theor Exp Phys (2021) | 10.1093/ptep/ptab100 | KYUSHU-HET-226 | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The gradient flow exact renormalization group (GFERG) is an exact
renormalization group motivated by the Yang--Mills gradient flow and its
salient feature is a manifest gauge invariance. We generalize this GFERG,
originally formulated for the pure Yang--Mills theory, to vector-like gauge
theories containing fermion fields, keeping the manifest gauge invariance. For
the chiral symmetry we have two options: one possible formulation preserves the
conventional form of the chiral symmetry and the other simpler formulation
realizes the chiral symmetry in a modified form \`a la Ginsparg--Wilson. We
work out a gauge-invariant local Wilson action in quantum electrodynamics to
the lowest nontrivial order of perturbation theory. This Wilson action
reproduces the correct axial anomaly in~$D=2$.
| [
{
"created": "Mon, 21 Jun 2021 14:28:14 GMT",
"version": "v1"
},
{
"created": "Sun, 27 Jun 2021 11:56:30 GMT",
"version": "v2"
},
{
"created": "Thu, 12 Aug 2021 00:10:45 GMT",
"version": "v3"
}
] | 2021-09-15 | [
[
"Miyakawa",
"Yuki",
""
],
[
"Suzuki",
"Hiroshi",
""
]
] | The gradient flow exact renormalization group (GFERG) is an exact renormalization group motivated by the Yang--Mills gradient flow and its salient feature is a manifest gauge invariance. We generalize this GFERG, originally formulated for the pure Yang--Mills theory, to vector-like gauge theories containing fermion fields, keeping the manifest gauge invariance. For the chiral symmetry we have two options: one possible formulation preserves the conventional form of the chiral symmetry and the other simpler formulation realizes the chiral symmetry in a modified form \`a la Ginsparg--Wilson. We work out a gauge-invariant local Wilson action in quantum electrodynamics to the lowest nontrivial order of perturbation theory. This Wilson action reproduces the correct axial anomaly in~$D=2$. |
hep-th/0012261 | Heui-Seol Roh | Heui-Seol Roh | QCD Confinement and Theta Vacuum: Dynamical Spontaneous Symmetry
Breaking | REVTeX, 17 pages | null | null | null | hep-th hep-ph | null | This study proposes that the longstanding problems of quantum chromodynamics
(QCD) as an SU(3)_C gauge theory, the confinement mechanism and \Theta vacuum,
can be resolved by dynamical spontaneous symmetry breaking (DSSB) through the
condensation of singlet gluons and quantum nucleardynamics (QND) as an SU(2)_N
x U(1)_Z gauge theory is produced. The confinement mechanism is the result of
massive gluons and the Yukawa potential provides hadron formation. The
evidences for the breaking of discrete symmetries (C, P, T, CP) during DSSB
appear explicitly: baryons and mesons without their parity partners, the
conservation of vector current and the partial conservation of the axial vector
current, the baryon asymmetry \delta_B \simeq 10^{-10}, and the neutron
electric dipole moment \Theta < 10^{-9}. Hadron mass generation mechanism is
suggested in terms of DSSB due to the \Theta vacuum.
| [
{
"created": "Fri, 29 Dec 2000 08:25:49 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Roh",
"Heui-Seol",
""
]
] | This study proposes that the longstanding problems of quantum chromodynamics (QCD) as an SU(3)_C gauge theory, the confinement mechanism and \Theta vacuum, can be resolved by dynamical spontaneous symmetry breaking (DSSB) through the condensation of singlet gluons and quantum nucleardynamics (QND) as an SU(2)_N x U(1)_Z gauge theory is produced. The confinement mechanism is the result of massive gluons and the Yukawa potential provides hadron formation. The evidences for the breaking of discrete symmetries (C, P, T, CP) during DSSB appear explicitly: baryons and mesons without their parity partners, the conservation of vector current and the partial conservation of the axial vector current, the baryon asymmetry \delta_B \simeq 10^{-10}, and the neutron electric dipole moment \Theta < 10^{-9}. Hadron mass generation mechanism is suggested in terms of DSSB due to the \Theta vacuum. |
2407.06914 | Magdalena Larfors | Yacoub Hendi, Magdalena Larfors, Moritz Walden | Learning Group Invariant Calabi-Yau Metrics by Fundamental Domain
Projections | 26 pages, 6 figures | null | null | UUITP-21/24 | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | We present new invariant machine learning models that approximate the
Ricci-flat metric on Calabi-Yau (CY) manifolds with discrete symmetries. We
accomplish this by combining the $\phi$-model of the cymetric package with
non-trainable, $G$-invariant, canonicalization layers that project the
$\phi$-model's input data (i.e. points sampled from the CY geometry) to the
fundamental domain of a given symmetry group $G$. These $G$-invariant layers
are easy to concatenate, provided one compatibility condition is fulfilled, and
combine well with spectral $\phi$-models. Through experiments on different CY
geometries, we find that, for fixed point sample size and training time,
canonicalized models give slightly more accurate metric approximations than the
standard $\phi$-model. The method may also be used to compute Ricci-flat metric
on smooth CY quotients. We demonstrate this aspect by experiments on a smooth
$\mathbb{Z}^2_5$ quotient of a 5-parameter quintic CY manifold.
| [
{
"created": "Tue, 9 Jul 2024 14:49:12 GMT",
"version": "v1"
}
] | 2024-07-10 | [
[
"Hendi",
"Yacoub",
""
],
[
"Larfors",
"Magdalena",
""
],
[
"Walden",
"Moritz",
""
]
] | We present new invariant machine learning models that approximate the Ricci-flat metric on Calabi-Yau (CY) manifolds with discrete symmetries. We accomplish this by combining the $\phi$-model of the cymetric package with non-trainable, $G$-invariant, canonicalization layers that project the $\phi$-model's input data (i.e. points sampled from the CY geometry) to the fundamental domain of a given symmetry group $G$. These $G$-invariant layers are easy to concatenate, provided one compatibility condition is fulfilled, and combine well with spectral $\phi$-models. Through experiments on different CY geometries, we find that, for fixed point sample size and training time, canonicalized models give slightly more accurate metric approximations than the standard $\phi$-model. The method may also be used to compute Ricci-flat metric on smooth CY quotients. We demonstrate this aspect by experiments on a smooth $\mathbb{Z}^2_5$ quotient of a 5-parameter quintic CY manifold. |
2404.13987 | Laura Andrianopoli Prof. | Laura Andrianopoli and Riccardo D'Auria | Supergravity in the Geometric Approach and its Hidden Graded Lie Algebra | null | null | null | null | hep-th | http://creativecommons.org/licenses/by-nc-nd/4.0/ | In this contribution, we present the geometric approach to supergravity. In
the first part, we discuss in some detail the peculiarities of the approach and
apply the formalism to the case of pure supergravity in four space-time
dimensions. In the second part, we extend the discussion to theories in higher
dimensions, which include antisymmetric tensors of degree higher than one,
focussing on the case of eleven dimensional space-time. Here, we report the
formulation first introduced in 1981 by R. D'Auria and P. Fr\`e, corresponding
to a generalization of a Chevalley-Eilenberg Lie algebra, together with some
more recent results, pointing out the relation of the formalism with the
mathematical framework of $L_\infty$ algebras.
| [
{
"created": "Mon, 22 Apr 2024 08:52:28 GMT",
"version": "v1"
}
] | 2024-04-23 | [
[
"Andrianopoli",
"Laura",
""
],
[
"D'Auria",
"Riccardo",
""
]
] | In this contribution, we present the geometric approach to supergravity. In the first part, we discuss in some detail the peculiarities of the approach and apply the formalism to the case of pure supergravity in four space-time dimensions. In the second part, we extend the discussion to theories in higher dimensions, which include antisymmetric tensors of degree higher than one, focussing on the case of eleven dimensional space-time. Here, we report the formulation first introduced in 1981 by R. D'Auria and P. Fr\`e, corresponding to a generalization of a Chevalley-Eilenberg Lie algebra, together with some more recent results, pointing out the relation of the formalism with the mathematical framework of $L_\infty$ algebras. |
1010.1662 | Michael Kroyter | Michael Kroyter | Democratic Superstring Field Theory: Gauge Fixing | V1: 33p. V2: Added 3.3.2, with a fully RNS action at pictures 0 and
1/2, typos corrected, 36p. V3: Presentation improved in 2.1, 3.1 and
elsewhere, ref. added, 37p. V4: Footnote 6 modified, typos corrected, 37p | JHEP 1103:081,2011 | 10.1007/JHEP03(2011)081 | MIT-CTP-4171, TAUP-2915-10 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that a partial gauge fixing of the NS sector of the
democratic-picture superstring field theory leads to the non-polynomial theory.
Moreover, by partially gauge fixing the Ramond sector we obtain a
non-polynomial fully RNS theory at pictures 0 and 1/2. Within the democratic
theory and in the partially gauge fixed theory the equations of motion of both
sectors are derived from an action. We also discuss a representation of the
non-polynomial theory analogous to a manifestly two-dimensional representation
of WZW theory and the action of bosonic pure-gauge solutions.
We further demonstrate that one can consistently gauge fix the NS sector of
the democratic theory at picture number -1. The resulting theory is new. It is
a Z_2 dual of the modified cubic theory. We construct analytical solutions of
this theory and show that they possess the desired properties.
| [
{
"created": "Fri, 8 Oct 2010 11:08:23 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Nov 2010 14:29:07 GMT",
"version": "v2"
},
{
"created": "Wed, 9 Feb 2011 15:10:45 GMT",
"version": "v3"
},
{
"created": "Tue, 22 Mar 2011 09:38:35 GMT",
"version": "v4"
}
] | 2011-03-23 | [
[
"Kroyter",
"Michael",
""
]
] | We show that a partial gauge fixing of the NS sector of the democratic-picture superstring field theory leads to the non-polynomial theory. Moreover, by partially gauge fixing the Ramond sector we obtain a non-polynomial fully RNS theory at pictures 0 and 1/2. Within the democratic theory and in the partially gauge fixed theory the equations of motion of both sectors are derived from an action. We also discuss a representation of the non-polynomial theory analogous to a manifestly two-dimensional representation of WZW theory and the action of bosonic pure-gauge solutions. We further demonstrate that one can consistently gauge fix the NS sector of the democratic theory at picture number -1. The resulting theory is new. It is a Z_2 dual of the modified cubic theory. We construct analytical solutions of this theory and show that they possess the desired properties. |
hep-th/9611143 | I. L. Egusquiza | I.L. Egusquiza and M.A. Valle-Basagoiti | The Renormalization Group method for simple operator problems in quantum
mechanics | 11 pages RevTeX, 1 fig | Physical Review A, 57, 1586 (1998) | 10.1103/PhysRevA.57.1586 | EHU-FT/9602 | hep-th | null | A simple backreaction problem in quantum mechanics, the full quantum
anharmonic oscillator, and quantum parametric resonance are studied using
Renormalization Group techniques for global asymptotic analysis. In this short
note this technique is adapted for the first time to operator problems.
| [
{
"created": "Tue, 19 Nov 1996 09:42:19 GMT",
"version": "v1"
}
] | 2017-02-16 | [
[
"Egusquiza",
"I. L.",
""
],
[
"Valle-Basagoiti",
"M. A.",
""
]
] | A simple backreaction problem in quantum mechanics, the full quantum anharmonic oscillator, and quantum parametric resonance are studied using Renormalization Group techniques for global asymptotic analysis. In this short note this technique is adapted for the first time to operator problems. |
1004.4283 | Joshua Feinberg | V. Bardek, J. Feinberg and S. Meljanac | Fluctuations around Periodic BPS-Density Waves in the Calogero Model | Latex, 34 pages. An appendix added. Version accepted for publication
in the JHEP | JHEP 1008:018,2010 | 10.1007/JHEP08(2010)018 | null | hep-th cond-mat.str-el math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The collective field formulation of the Calogero model supports periodic
density waves. An important set of such density waves is a two-parameter family
of BPS solutions of the equations of motion of the collective field theory. One
of these parameters is essentially the average particle density, which
determines the period, while the other parameter determines the amplitude.
These BPS solutions are sometimes referred to as "small amplitude waves" since
they undulate around their mean density, but never vanish. We present complete
analysis of quadratic fluctuations around these BPS solutions. The
corresponding fluctuation hamiltonian (i.e., the stability operator) is
diagonalized in terms of bosonic creation and annihilation operators which
correspond to the complete orthogonal set of Bloch-Floquet eigenstates of a
related periodic Schr\"odinger hamiltonian, which we derive explicitly.
Remarkably, the fluctuation spectrum is independent of the parameter which
determines the density wave's amplitude. As a consequence, the sum over
zero-point energies of the field-theoretic fluctuation hamiltonian, and its
ensuing normal-ordering and regularization, are the same as in the case of
fluctuations around constant density background, namely, the ground state.
Thus, quadratic fluctuations do not shift the energy density tied with the
BPS-density waves studied here, compared to its ground state value. Finally, we
also make some brief remarks concerning fluctuations around non-BPS density
waves
| [
{
"created": "Sat, 24 Apr 2010 14:33:58 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Aug 2010 13:01:08 GMT",
"version": "v2"
}
] | 2010-12-01 | [
[
"Bardek",
"V.",
""
],
[
"Feinberg",
"J.",
""
],
[
"Meljanac",
"S.",
""
]
] | The collective field formulation of the Calogero model supports periodic density waves. An important set of such density waves is a two-parameter family of BPS solutions of the equations of motion of the collective field theory. One of these parameters is essentially the average particle density, which determines the period, while the other parameter determines the amplitude. These BPS solutions are sometimes referred to as "small amplitude waves" since they undulate around their mean density, but never vanish. We present complete analysis of quadratic fluctuations around these BPS solutions. The corresponding fluctuation hamiltonian (i.e., the stability operator) is diagonalized in terms of bosonic creation and annihilation operators which correspond to the complete orthogonal set of Bloch-Floquet eigenstates of a related periodic Schr\"odinger hamiltonian, which we derive explicitly. Remarkably, the fluctuation spectrum is independent of the parameter which determines the density wave's amplitude. As a consequence, the sum over zero-point energies of the field-theoretic fluctuation hamiltonian, and its ensuing normal-ordering and regularization, are the same as in the case of fluctuations around constant density background, namely, the ground state. Thus, quadratic fluctuations do not shift the energy density tied with the BPS-density waves studied here, compared to its ground state value. Finally, we also make some brief remarks concerning fluctuations around non-BPS density waves |
2006.02319 | Aroonkumar Beesham | Aroonkumar Beesham | Quantum spectrum of tachyonic black holes in a brane-anti-brane system | 8 pages, 1 figure | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, some authors have considered the quantum spectrum of black holes .
This consideration is extended to tachyonic black holes in a brane-anti-brane
system. In this study, black holes are constructed from two branes which are
connected by a tachyonic tube. As the branes come closer to each other, they
evolve and make a transition to thermal black branes. It will be shown that the
spectrum of these black holes depends on the tachonic potential and the
separation distance between the branes. By decreasing the separation distance,
more energy emerges and the spectrum of the black hole increases.
| [
{
"created": "Wed, 3 Jun 2020 15:06:38 GMT",
"version": "v1"
}
] | 2020-06-04 | [
[
"Beesham",
"Aroonkumar",
""
]
] | Recently, some authors have considered the quantum spectrum of black holes . This consideration is extended to tachyonic black holes in a brane-anti-brane system. In this study, black holes are constructed from two branes which are connected by a tachyonic tube. As the branes come closer to each other, they evolve and make a transition to thermal black branes. It will be shown that the spectrum of these black holes depends on the tachonic potential and the separation distance between the branes. By decreasing the separation distance, more energy emerges and the spectrum of the black hole increases. |
2001.02483 | Hayato Motohashi | Hayato Motohashi, Teruaki Suyama | Quantum Ostrogradsky theorem | 5 pages; added analysis for more general cases; matches published
version | JHEP 2020, 32 (2020) | 10.1007/JHEP09(2020)032 | YITP-20-04 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Ostrogradsky theorem states that any classical Lagrangian that contains
time derivatives higher than the first order and is nondegenerate with respect
to the highest-order derivatives leads to an unbounded Hamiltonian which
linearly depends on the canonical momenta. Recently, the original theorem has
been generalized to nondegeneracy with respect to non-highest-order
derivatives. These theorems have been playing a central role in construction of
sensible higher-derivative theories. We explore quantization of such
nondegenerate theories, and prove that Hamiltonian is still unbounded at the
level of quantum field theory.
| [
{
"created": "Wed, 8 Jan 2020 12:47:20 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Jul 2020 15:25:01 GMT",
"version": "v2"
},
{
"created": "Mon, 7 Sep 2020 02:56:34 GMT",
"version": "v3"
}
] | 2020-09-08 | [
[
"Motohashi",
"Hayato",
""
],
[
"Suyama",
"Teruaki",
""
]
] | The Ostrogradsky theorem states that any classical Lagrangian that contains time derivatives higher than the first order and is nondegenerate with respect to the highest-order derivatives leads to an unbounded Hamiltonian which linearly depends on the canonical momenta. Recently, the original theorem has been generalized to nondegeneracy with respect to non-highest-order derivatives. These theorems have been playing a central role in construction of sensible higher-derivative theories. We explore quantization of such nondegenerate theories, and prove that Hamiltonian is still unbounded at the level of quantum field theory. |
2201.10970 | Elisabetta Pallante | Marco Bochicchio, Elisabetta Pallante | Low-energy theorem and OPE in the conformal window of massless QCD | 91 pages, no figures. We have replaced the conformal ansatz in the
former eq. (7.3) with the ansatz for the exact solution of the
Callan-Symanzik equation and extensively rewritten the paper | null | null | null | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop a new technique, based on a low-energy theorem (LET) of NSVZ type
derived in arXiv:1701.07833, for the nonperturbative investigation of SU(N) QCD
with N${}_f$ massless quarks - or, more generally, of massless QCD-like
theories - in phases where the beta function, $\beta(g)$, with $g=g(\mu)$ the
renormalized gauge coupling, admits an isolated zero, $g_*$, in the infrared
(IR) or ultraviolet (UV). We point out that the LET sets constraints on 3-point
correlators involving the insertion of $Tr\, F^2$, its anomalous dimension
$\gamma_{F^2}$, and the anomalous dimensions of multiplicatively renormalizable
operators at $g_*$. These constraints intertwine with the exact conformal
scaling for $g(\mu)\rightarrow g_*$ with $\mu\neq 0,+\infty$ fixed and the
IR/UV asymptotics - which may or may not coincide with the IR/UV limit of the
aforementioned conformal scaling - for $\Lambda_{\scriptscriptstyle{IR/UV}}$
fixed. In the conformal case we also discuss how the LET for bare correlators
is the rationale for the existence in massless QCD of the mysterious divergent
contact term in the OPE of $Tr\,F^2$ with itself discovered in perturbation
theory in arXiv:1209.1516, arXiv:1407.6921 and computed to all orders in
arXiv:1601.08094. Specifically, if $\gamma_{F^2}$ does not vanish, the
divergent contact term in the rhs of the LET for the 2-point correlator of
$Tr\,F^2$ has to match - and we verify by direct computation that it actually
does - the divergence in the lhs due to the nontrivial anomalous dimension of
$Tr\,F^2$. Hence, remarkably, the additive renormalization due to the divergent
contact term in the rhs is related by the LET to the multiplicative
renormalization in the lhs, in such a way that a suitably renormalized version
of the LET has no ambiguity for additive renormalization.
| [
{
"created": "Wed, 26 Jan 2022 14:39:48 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Feb 2022 14:04:08 GMT",
"version": "v2"
},
{
"created": "Wed, 29 Jun 2022 12:50:59 GMT",
"version": "v3"
}
] | 2022-07-01 | [
[
"Bochicchio",
"Marco",
""
],
[
"Pallante",
"Elisabetta",
""
]
] | We develop a new technique, based on a low-energy theorem (LET) of NSVZ type derived in arXiv:1701.07833, for the nonperturbative investigation of SU(N) QCD with N${}_f$ massless quarks - or, more generally, of massless QCD-like theories - in phases where the beta function, $\beta(g)$, with $g=g(\mu)$ the renormalized gauge coupling, admits an isolated zero, $g_*$, in the infrared (IR) or ultraviolet (UV). We point out that the LET sets constraints on 3-point correlators involving the insertion of $Tr\, F^2$, its anomalous dimension $\gamma_{F^2}$, and the anomalous dimensions of multiplicatively renormalizable operators at $g_*$. These constraints intertwine with the exact conformal scaling for $g(\mu)\rightarrow g_*$ with $\mu\neq 0,+\infty$ fixed and the IR/UV asymptotics - which may or may not coincide with the IR/UV limit of the aforementioned conformal scaling - for $\Lambda_{\scriptscriptstyle{IR/UV}}$ fixed. In the conformal case we also discuss how the LET for bare correlators is the rationale for the existence in massless QCD of the mysterious divergent contact term in the OPE of $Tr\,F^2$ with itself discovered in perturbation theory in arXiv:1209.1516, arXiv:1407.6921 and computed to all orders in arXiv:1601.08094. Specifically, if $\gamma_{F^2}$ does not vanish, the divergent contact term in the rhs of the LET for the 2-point correlator of $Tr\,F^2$ has to match - and we verify by direct computation that it actually does - the divergence in the lhs due to the nontrivial anomalous dimension of $Tr\,F^2$. Hence, remarkably, the additive renormalization due to the divergent contact term in the rhs is related by the LET to the multiplicative renormalization in the lhs, in such a way that a suitably renormalized version of the LET has no ambiguity for additive renormalization. |
2012.01781 | Usman Naseer | Joseph A. Minahan, Usman Naseer, and Charles Thull | Conformal field theories on deformed spheres, anomalies, and
supersymmetry | 29 pages+appendix, typos fixed, several clarifying comments added in
sec. 4 | SciPost Phys. 10, 063 (2021) | 10.21468/SciPostPhys.10.3.063 | UUITP-51/20 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the free energy of four-dimensional CFTs on deformed spheres. For
generic nonsupersymmetric CFTs only the coefficient of the logarithmic
divergence in the free energy is physical, which is an extremum for the round
sphere. We then specialize to $\mathcal{N}=2$ SCFTs where one can preserve some
supersymmetry on a compact manifold by turning on appropriate background
fields. For deformations of the round sphere the $c$ anomaly receives
corrections proportional to the supersymmetric completion of the (Weyl)$^2$
term, which we determine up to one constant by analyzing the scale dependence
of various correlators in the stress-tensor multiplet. We further show that the
double derivative of the free energy with respect to the marginal couplings is
proportional to the two-point function of the bottom components of the marginal
chiral multiplet placed at the two poles of the deformed sphere. We then use
anomaly considerations and counter-terms to parametrize the finite part of the
free energy which makes manifest its dependence on the K\"ahler potential. We
demonstrate these results for a theory with a vector multiplet and a massless
adjoint hypermultiplet using results from localization. Finally, by choosing a
special value of the hypermultiplet mass where the free energy is independent
of the deformation, we derive an infinite number of constraints between various
integrated correlators in $\mathcal{N}=4$ super Yang-Mills with any gauge group
and at all values of the coupling, extending previous results.
| [
{
"created": "Thu, 3 Dec 2020 09:22:54 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Feb 2021 06:29:07 GMT",
"version": "v2"
}
] | 2021-03-10 | [
[
"Minahan",
"Joseph A.",
""
],
[
"Naseer",
"Usman",
""
],
[
"Thull",
"Charles",
""
]
] | We study the free energy of four-dimensional CFTs on deformed spheres. For generic nonsupersymmetric CFTs only the coefficient of the logarithmic divergence in the free energy is physical, which is an extremum for the round sphere. We then specialize to $\mathcal{N}=2$ SCFTs where one can preserve some supersymmetry on a compact manifold by turning on appropriate background fields. For deformations of the round sphere the $c$ anomaly receives corrections proportional to the supersymmetric completion of the (Weyl)$^2$ term, which we determine up to one constant by analyzing the scale dependence of various correlators in the stress-tensor multiplet. We further show that the double derivative of the free energy with respect to the marginal couplings is proportional to the two-point function of the bottom components of the marginal chiral multiplet placed at the two poles of the deformed sphere. We then use anomaly considerations and counter-terms to parametrize the finite part of the free energy which makes manifest its dependence on the K\"ahler potential. We demonstrate these results for a theory with a vector multiplet and a massless adjoint hypermultiplet using results from localization. Finally, by choosing a special value of the hypermultiplet mass where the free energy is independent of the deformation, we derive an infinite number of constraints between various integrated correlators in $\mathcal{N}=4$ super Yang-Mills with any gauge group and at all values of the coupling, extending previous results. |
hep-th/0111021 | Anton Solov'yov | Yu. S. Vladimirov (Moscow State University) | Principles of a Unified Theory of Spacetime and Physical Interactions | 14 pages, LaTeX using emlines.sty | null | null | null | hep-th | null | Principles of a new approach (binary geometrophysics) are presented to
construct the unified theory of spacetime and the familiar kinds of physical
interactions. Physically, the approach is a modified S-matrix theory involving
ideas of the multidimensional geometric models of physical interactions of
Kaluza-Klein's type as well as Fokker-Feynman's action-at-a-distance theory.
Mathematically, this is a peculiar binary geometry being described in algebraic
terms. In the present approach the binary geometry volume is a prototype of
three related notions: the S-matrix, the physical action (Lagrangian) of both
strong and electroweak interactions, and the multidimensional metric. A
transition from microworld geometrophysics to the conventional physical theory
in classical spacetime are characterized.
| [
{
"created": "Fri, 2 Nov 2001 14:21:14 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Vladimirov",
"Yu. S.",
"",
"Moscow State University"
]
] | Principles of a new approach (binary geometrophysics) are presented to construct the unified theory of spacetime and the familiar kinds of physical interactions. Physically, the approach is a modified S-matrix theory involving ideas of the multidimensional geometric models of physical interactions of Kaluza-Klein's type as well as Fokker-Feynman's action-at-a-distance theory. Mathematically, this is a peculiar binary geometry being described in algebraic terms. In the present approach the binary geometry volume is a prototype of three related notions: the S-matrix, the physical action (Lagrangian) of both strong and electroweak interactions, and the multidimensional metric. A transition from microworld geometrophysics to the conventional physical theory in classical spacetime are characterized. |
hep-th/0505147 | Alberto Nicolis | Paolo Creminelli, Alberto Nicolis, Michele Papucci, Enrico Trincherini | Ghosts in Massive Gravity | 16 pages | JHEP 0509:003,2005 | 10.1088/1126-6708/2005/09/003 | HUTP-05/A0020, HD-THEP-05-09, UCB-PTH-05/14, LBNL-57558 | hep-th astro-ph gr-qc hep-ph | null | In the context of Lorentz-invariant massive gravity we show that classical
solutions around heavy sources are plagued by ghost instabilities. The ghost
shows up in the effective field theory at huge distances from the source, much
bigger than the Vainshtein radius. Its presence is independent of the choice of
the non-linear terms added to the Fierz-Pauli Lagrangian. At the Vainshtein
radius the mass of the ghost is of order of the inverse radius, so that the
theory cannot be trusted inside this region, not even at the classical level.
| [
{
"created": "Mon, 16 May 2005 22:34:23 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Creminelli",
"Paolo",
""
],
[
"Nicolis",
"Alberto",
""
],
[
"Papucci",
"Michele",
""
],
[
"Trincherini",
"Enrico",
""
]
] | In the context of Lorentz-invariant massive gravity we show that classical solutions around heavy sources are plagued by ghost instabilities. The ghost shows up in the effective field theory at huge distances from the source, much bigger than the Vainshtein radius. Its presence is independent of the choice of the non-linear terms added to the Fierz-Pauli Lagrangian. At the Vainshtein radius the mass of the ghost is of order of the inverse radius, so that the theory cannot be trusted inside this region, not even at the classical level. |
0803.0098 | Yu-Xiao Liu | Yu-Xiao Liu, Li-Da Zhang, Shao-Wen Wei, Yi-Shi Duan | Localization and Mass Spectrum of Matters on Weyl Thick Branes | 18 pages, 2 figures; V2: 19 pages, 12 figures | JHEP 0808:041,2008 | 10.1088/1126-6708/2008/08/041 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we study localization and mass spectrum of various matter
fields on a family of thick brane configurations in a pure geometric Weyl
integrable 5-dimensional space time, a non-Riemannian modification of
5-dimensional Kaluza--Klein (KK) theory. We present the shape of the
mass-independent potential of the corresponding Schr\"{o}dinger problem and
obtain the KK modes and mass spectrum, where a special coupling of spinors and
scalars is considered for fermions. It is shown that, for a class of brane
configurations, there exists a continuum gapless spectrum of KK modes with any
$m^2>0$ for scalars, vectors and ones of left chiral and right chiral fermions.
All of the corresponding massless modes are found to be normalizable on the
branes. However, for a special of brane configuration, the corresponding
effective Schr\"{o}dinger equations have modified P\"{o}schl-Teller potentials.
These potentials suggest that there exist mass gap and a series of continuous
spectrum starting at positive $m^2$. There are one bound state for spin one
vectors, which is just the normalizable vector zero mode, and two bound KK
modes for scalars. The total number of bound states for spin half fermions is
determined by the coupling constant $\eta$. In the case of no coupling
($\eta=0$), there are no any localized fermion KK modes including zero modes
for both left and right chiral fermions. For positive (negative) coupling
constant, the number of bound states of right chiral fermions is one less
(more) than that of left chiral fermions. In both cases ($\eta>0$ and
$\eta<0$), only one of the zero modes for left chiral fermions and right chiral
fermions is bound and normalizable.
| [
{
"created": "Sun, 2 Mar 2008 04:19:43 GMT",
"version": "v1"
},
{
"created": "Mon, 5 May 2008 05:36:04 GMT",
"version": "v2"
},
{
"created": "Tue, 12 Aug 2008 10:36:09 GMT",
"version": "v3"
}
] | 2009-11-19 | [
[
"Liu",
"Yu-Xiao",
""
],
[
"Zhang",
"Li-Da",
""
],
[
"Wei",
"Shao-Wen",
""
],
[
"Duan",
"Yi-Shi",
""
]
] | In this paper, we study localization and mass spectrum of various matter fields on a family of thick brane configurations in a pure geometric Weyl integrable 5-dimensional space time, a non-Riemannian modification of 5-dimensional Kaluza--Klein (KK) theory. We present the shape of the mass-independent potential of the corresponding Schr\"{o}dinger problem and obtain the KK modes and mass spectrum, where a special coupling of spinors and scalars is considered for fermions. It is shown that, for a class of brane configurations, there exists a continuum gapless spectrum of KK modes with any $m^2>0$ for scalars, vectors and ones of left chiral and right chiral fermions. All of the corresponding massless modes are found to be normalizable on the branes. However, for a special of brane configuration, the corresponding effective Schr\"{o}dinger equations have modified P\"{o}schl-Teller potentials. These potentials suggest that there exist mass gap and a series of continuous spectrum starting at positive $m^2$. There are one bound state for spin one vectors, which is just the normalizable vector zero mode, and two bound KK modes for scalars. The total number of bound states for spin half fermions is determined by the coupling constant $\eta$. In the case of no coupling ($\eta=0$), there are no any localized fermion KK modes including zero modes for both left and right chiral fermions. For positive (negative) coupling constant, the number of bound states of right chiral fermions is one less (more) than that of left chiral fermions. In both cases ($\eta>0$ and $\eta<0$), only one of the zero modes for left chiral fermions and right chiral fermions is bound and normalizable. |
hep-th/9502056 | null | C. Neves, E. M. C. de Abreu and C. Wotzasek | ON THE COVARIANTIZATION OF THE CHIRAL CONSTRAINT | Latex, 10 pages, no figures | Z.Phys. C68 (1995) 509-512 | 10.1007/BF01620730 | UR-1410-95 | hep-th | null | We show that a complete covariantization of the chiral constraint in the
Floreanini-Jackiw necessitates an infinite number of auxiliary Wess-Zumino
fields otherwise the covariantization is only partial and unable to remove the
nonlocality in the chiral boson operator. We comment on recent works that claim
to obtain covariantization through the use of Batalin-Fradkin-Tyutin method,
that uses just one Wess-Zumino field.
| [
{
"created": "Thu, 9 Feb 1995 05:29:25 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Neves",
"C.",
""
],
[
"de Abreu",
"E. M. C.",
""
],
[
"Wotzasek",
"C.",
""
]
] | We show that a complete covariantization of the chiral constraint in the Floreanini-Jackiw necessitates an infinite number of auxiliary Wess-Zumino fields otherwise the covariantization is only partial and unable to remove the nonlocality in the chiral boson operator. We comment on recent works that claim to obtain covariantization through the use of Batalin-Fradkin-Tyutin method, that uses just one Wess-Zumino field. |
hep-th/0406037 | Don Marolf | Donald Marolf and Radu Roiban | Note on Bound States and the Bekenstein Bound | 6 pages, JHEP style | JHEP 0408 (2004) 033 | 10.1088/1126-6708/2004/08/033 | null | hep-th | null | In this brief note we draw attention to examples of quantum field theories
which may hold interesting lessons for attempts to devise a precise formulation
of the Bekenstein bound. Our comments mirror the recent results of Bousso
(hep-th/0310223) indicating that the species problem remains an issue for
precise formulations of this bound.
| [
{
"created": "Thu, 3 Jun 2004 17:47:02 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Marolf",
"Donald",
""
],
[
"Roiban",
"Radu",
""
]
] | In this brief note we draw attention to examples of quantum field theories which may hold interesting lessons for attempts to devise a precise formulation of the Bekenstein bound. Our comments mirror the recent results of Bousso (hep-th/0310223) indicating that the species problem remains an issue for precise formulations of this bound. |
hep-th/9207028 | null | J. Greensite | Vanishing of the Cosmological Constant in Stabilized Quantum Gravity | 10 pages, Latex, NBI-HE-92-41 | Phys.Lett. B291 (1992) 405-410 | 10.1016/0370-2693(92)91395-P | null | hep-th | null | It is shown that the probability distribution $P(\lambda)$ for the effective
cosmological constant is sharply peaked at $\lambda=0$ in stochastic (or
"fifth-time") stabilized quantum gravity. The effect is similar to the
Baum-Hawking mechanism, except that it comes about due to quantum fluctuations,
rather than as a zeroth-order (in $\hbar$) semiclassical effect.
| [
{
"created": "Thu, 9 Jul 1992 14:38:00 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Greensite",
"J.",
""
]
] | It is shown that the probability distribution $P(\lambda)$ for the effective cosmological constant is sharply peaked at $\lambda=0$ in stochastic (or "fifth-time") stabilized quantum gravity. The effect is similar to the Baum-Hawking mechanism, except that it comes about due to quantum fluctuations, rather than as a zeroth-order (in $\hbar$) semiclassical effect. |
hep-th/0004192 | Asmita | A. Harindranath, Asmita Mukherjee and Raghunath Ratabole | Transverse Spin in QCD. I. Canonical Structure | 22 pages, revtex | null | null | null | hep-th hep-ph | null | In this work we initiate a systematic investigation of the spin of a
composite system in an arbitrary reference frame in QCD. After a brief review
of the difficulties one encounters in equal-time quantization, we turn to
light-front quantization. We show that, in spite of the complexities,
light-front field theory offers a unique opportunity to address the issue of
relativistic spin operators in an arbitrary reference frame since boost is
kinematical in this formulation. Utilizing this symmetry, we show how to
introduce transverse spin operators for massless particles in an arbitrary
reference frame in analogy with those for massive particles. Starting from the
manifestly gauge invariant, symmetric energy momentum tensor in QCD, we derive
expressions for the interaction dependent transverse spin operators ${\cal
J}^i$ ($i=1,2$) which are responsible for the helicity flip of the nucleon in
light-front quantization. In order to construct ${\cal J}^i$, first we derive
expressions for the transverse rotation operators $F^i$. In the gauge $A^+=0$,
we eliminate the constrained variables. In the completely gauge fixed sector,
in terms of the dynamical variables, we show that one can decompose ${\cal
J}^i= {\cal J}^i_I + {\cal J}^i_{II} + {\cal J}^i_{III}$ where only ${\cal
J}^i_{I}$ has explicit coordinate ($x^-, x^i$) dependence in its integrand. The
operators ${\cal J}^i_{II}$ and ${\cal J}^i_{III}$ arise from the fermionic and
bosonic parts respectively of the gauge invariant energy momentum tensor. We
discuss the implications of our results.
| [
{
"created": "Thu, 27 Apr 2000 13:00:28 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Harindranath",
"A.",
""
],
[
"Mukherjee",
"Asmita",
""
],
[
"Ratabole",
"Raghunath",
""
]
] | In this work we initiate a systematic investigation of the spin of a composite system in an arbitrary reference frame in QCD. After a brief review of the difficulties one encounters in equal-time quantization, we turn to light-front quantization. We show that, in spite of the complexities, light-front field theory offers a unique opportunity to address the issue of relativistic spin operators in an arbitrary reference frame since boost is kinematical in this formulation. Utilizing this symmetry, we show how to introduce transverse spin operators for massless particles in an arbitrary reference frame in analogy with those for massive particles. Starting from the manifestly gauge invariant, symmetric energy momentum tensor in QCD, we derive expressions for the interaction dependent transverse spin operators ${\cal J}^i$ ($i=1,2$) which are responsible for the helicity flip of the nucleon in light-front quantization. In order to construct ${\cal J}^i$, first we derive expressions for the transverse rotation operators $F^i$. In the gauge $A^+=0$, we eliminate the constrained variables. In the completely gauge fixed sector, in terms of the dynamical variables, we show that one can decompose ${\cal J}^i= {\cal J}^i_I + {\cal J}^i_{II} + {\cal J}^i_{III}$ where only ${\cal J}^i_{I}$ has explicit coordinate ($x^-, x^i$) dependence in its integrand. The operators ${\cal J}^i_{II}$ and ${\cal J}^i_{III}$ arise from the fermionic and bosonic parts respectively of the gauge invariant energy momentum tensor. We discuss the implications of our results. |
hep-th/9502123 | Yang Chen | Yang Chen, Kasper J. Eriksen and Craig A. Tracy | Largest eigenvalue distribution in the double scaling limit of matrix
models: A Coulomb fluid approach | 10 pages, no figures, to appear in J.Phys. A Lett. 1995 | J.Phys. A28 (1995) L207-L212 | 10.1088/0022-3727/28/1/029 | null | hep-th | null | Using thermodynamic arguments we find that the probability that there are no
eigenvalues in the interval (-s,\infty) in the double scaling limit of
Hermitean matrix models is O(exp(-s^{2m+1})) as s\to+\infty.Here m=1,2,3..
determine the m^{th} multi-critical point of the level density:\sigma(x)\sim
b[1-(x/b)^2]^{m-1/2} and b^2\sim N.Furthermore,the size of the transition zone
where the eigenvalue density becomes vanishingly small at the tail of the
spectrum is \sim N^{(m-3/2)/(2m+1)} in agreement with earlier work based on the
string equation.
| [
{
"created": "Mon, 20 Feb 1995 17:52:33 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Chen",
"Yang",
""
],
[
"Eriksen",
"Kasper J.",
""
],
[
"Tracy",
"Craig A.",
""
]
] | Using thermodynamic arguments we find that the probability that there are no eigenvalues in the interval (-s,\infty) in the double scaling limit of Hermitean matrix models is O(exp(-s^{2m+1})) as s\to+\infty.Here m=1,2,3.. determine the m^{th} multi-critical point of the level density:\sigma(x)\sim b[1-(x/b)^2]^{m-1/2} and b^2\sim N.Furthermore,the size of the transition zone where the eigenvalue density becomes vanishingly small at the tail of the spectrum is \sim N^{(m-3/2)/(2m+1)} in agreement with earlier work based on the string equation. |
2301.04107 | Andrei Mironov | A. Mironov, V. Mishnyakov, A. Morozov, A. Popolitov, Rui Wang,
Wei-Zhong Zhao | Interpolating Matrix Models for WLZZ series | 11 pages | Eur. Phys. J. C 83 (2023) 377 | 10.1140/epjc/s10052-023-11549-0 | FIAN/TD-01/23; IITP/TH-01/23; ITEP/TH-01/23; MIPT/TH-01/23 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We suggest a two-matrix model depending on three (infinite) sets of
parameters which interpolates between all the models proposed in
arXiv:2206.13038, and defined there through $W$-representations. We also
discuss further generalizations of these WLZZ models realized by
$W$-representations associated with infinite commutative families of generators
of $w_\infty$-algebra which are presumably related to more sophisticated
multi-matrix models. Integrable properties of these generalizations are
described by what we call the skew hypergeometric $\tau$-functions.
| [
{
"created": "Tue, 10 Jan 2023 18:16:17 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Jan 2023 18:07:50 GMT",
"version": "v2"
}
] | 2023-05-09 | [
[
"Mironov",
"A.",
""
],
[
"Mishnyakov",
"V.",
""
],
[
"Morozov",
"A.",
""
],
[
"Popolitov",
"A.",
""
],
[
"Wang",
"Rui",
""
],
[
"Zhao",
"Wei-Zhong",
""
]
] | We suggest a two-matrix model depending on three (infinite) sets of parameters which interpolates between all the models proposed in arXiv:2206.13038, and defined there through $W$-representations. We also discuss further generalizations of these WLZZ models realized by $W$-representations associated with infinite commutative families of generators of $w_\infty$-algebra which are presumably related to more sophisticated multi-matrix models. Integrable properties of these generalizations are described by what we call the skew hypergeometric $\tau$-functions. |
1906.01721 | Masatoshi Yamada | Christof Wetterich and Masatoshi Yamada | Variable Planck mass from the gauge invariant flow equation | 43 pages, 11 figures, version published in PRD | Phys. Rev. D 100, 066017 (2019) | 10.1103/PhysRevD.100.066017 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the gauge invariant flow equation for quantum gravity we compute how
the strength of gravity depends on the length or energy scale. The fixed point
value of the scale-dependent Planck mass in units of the momentum scale has an
important impact on the question, which parameters of the Higgs potential can
be predicted in the asymptotic safety scenario for quantum gravity? For the
standard model and a large class of theories with additional particles the
quartic Higgs coupling is an irrelevant parameter at the ultraviolet fixed
point. This makes the ratio between the Higgs boson and the top-quark mass
predictable.
| [
{
"created": "Tue, 4 Jun 2019 20:51:44 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Sep 2019 12:11:07 GMT",
"version": "v2"
}
] | 2019-09-17 | [
[
"Wetterich",
"Christof",
""
],
[
"Yamada",
"Masatoshi",
""
]
] | Using the gauge invariant flow equation for quantum gravity we compute how the strength of gravity depends on the length or energy scale. The fixed point value of the scale-dependent Planck mass in units of the momentum scale has an important impact on the question, which parameters of the Higgs potential can be predicted in the asymptotic safety scenario for quantum gravity? For the standard model and a large class of theories with additional particles the quartic Higgs coupling is an irrelevant parameter at the ultraviolet fixed point. This makes the ratio between the Higgs boson and the top-quark mass predictable. |
1211.4151 | Sandor Nagy | Sandor Nagy | Lectures on renormalization and asymptotic safety | 34 pages, 21 figures. Based on the talk presented at the Theoretical
Physics School on Quantum Gravity, Szeged, Hungary, 27-31 August 2012. Final
version, to appear in Annals of Physics | Annals of Physics (2014), pp. 310-346 | 10.1016/j.aop.2014.07.027 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A short introduction is given on the functional renormalization group method,
putting emphasis on its nonperturbative aspects. The method enables to find
nontrivial fixed points in quantum field theoretic models which make them free
from divergences and leads to the concept of asymptotic safety. It can be
considered as a generalization of the asymptotic freedom which plays a key role
in the perturbative renormalization. We summarize and give a short discussion
of some important models, which are asymptotically safe such as the Gross-Neveu
model, the nonlinear $\sigma$ model, the sine-Gordon model, and we consider the
model of quantum Einstein gravity which seems to show asymptotic safety, too.
We also give a detailed analysis of infrared behavior of such scalar models
where a spontaneous symmetry breaking takes place. The deep infrared behaviorof
the broken phase cannot be treated within the framework of perturbative
calculations. We demonstrate that there exists an infrared fixed point in the
broken phase whichcreates a new scaling regime there, however its structure is
hidden by the singularity of the renormalization group equations. The theory
spaces of these models show several similar properties, namely the models have
the same phase and fixed point structure. The quantum Einstein gravity also
exhibits similarities when considering the global aspects of its theory space
since the appearing two phases there show analogies with the symmetric and the
broken phases of the scalar models. These results be nicely uncovered by the
functional renormalization group method.
| [
{
"created": "Sat, 17 Nov 2012 20:07:45 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Aug 2014 21:23:42 GMT",
"version": "v2"
}
] | 2014-08-15 | [
[
"Nagy",
"Sandor",
""
]
] | A short introduction is given on the functional renormalization group method, putting emphasis on its nonperturbative aspects. The method enables to find nontrivial fixed points in quantum field theoretic models which make them free from divergences and leads to the concept of asymptotic safety. It can be considered as a generalization of the asymptotic freedom which plays a key role in the perturbative renormalization. We summarize and give a short discussion of some important models, which are asymptotically safe such as the Gross-Neveu model, the nonlinear $\sigma$ model, the sine-Gordon model, and we consider the model of quantum Einstein gravity which seems to show asymptotic safety, too. We also give a detailed analysis of infrared behavior of such scalar models where a spontaneous symmetry breaking takes place. The deep infrared behaviorof the broken phase cannot be treated within the framework of perturbative calculations. We demonstrate that there exists an infrared fixed point in the broken phase whichcreates a new scaling regime there, however its structure is hidden by the singularity of the renormalization group equations. The theory spaces of these models show several similar properties, namely the models have the same phase and fixed point structure. The quantum Einstein gravity also exhibits similarities when considering the global aspects of its theory space since the appearing two phases there show analogies with the symmetric and the broken phases of the scalar models. These results be nicely uncovered by the functional renormalization group method. |
2201.01697 | James Edwards Prof | James P. Edwards | Graviton scattering amplitudes in first quantisation | 8 pages, various figures. A pedagogical introduction aimed at
graduate students: prepared for submission to the Suplemento de la Revista
Mexicana de F\'isica as proceedings for the XIX Mexican School of Particles
and Fields held online in August 2021 | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give a pedagogical review to alternative, first quantised approaches to
calculating graviton scattering amplitudes, giving an introduction to string
inspired approaches and presenting more recent work based on the worldline
formalism of quantum field theory that is motivated by these historic results.
We describe how these first quantised techniques can greatly simplify the
determination of such amplitudes, in particular reducing the number of
Feynman-like diagrams that enter the computation and leading to compact
results.
| [
{
"created": "Wed, 5 Jan 2022 16:47:38 GMT",
"version": "v1"
}
] | 2022-01-06 | [
[
"Edwards",
"James P.",
""
]
] | We give a pedagogical review to alternative, first quantised approaches to calculating graviton scattering amplitudes, giving an introduction to string inspired approaches and presenting more recent work based on the worldline formalism of quantum field theory that is motivated by these historic results. We describe how these first quantised techniques can greatly simplify the determination of such amplitudes, in particular reducing the number of Feynman-like diagrams that enter the computation and leading to compact results. |
2006.09069 | Sara Murciano | Sara Murciano, Giuseppe Di Giulio and Pasquale Calabrese | Entanglement and symmetry resolution in two dimensional free quantum
field theories | 42 pages, 11 figures | JHEP 2008 (2020) 073 | 10.1007/JHEP08(2020)073 | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a thorough analysis of the entanglement entropies related to
different symmetry sectors of free quantum field theories (QFT) with an
internal U(1) symmetry. We provide explicit analytic computations for the
charged moments of Dirac and complex scalar fields in two spacetime dimensions,
both in the massive and massless cases, using two different approaches. The
first one is based on the replica trick, the computation of the partition
function on Riemann surfaces with the insertion of a flux $\alpha$, and the
introduction of properly modified twist fields, whose two-point function
directly gives the scaling limit of the charged moments. With the second
method, the diagonalisation in replica space maps the problem to the
computation of a partition function on a cut plane, that can be written exactly
in terms of the solutions of non-linear differential equations of the
Painlev\'e V type. Within this approach, we also derive an asymptotic expansion
for the short and long distance behaviour of the charged moments. Finally, the
Fourier transform provides the desired symmetry resolved entropies: at the
leading order, they satisfy entanglement equipartition and we identify the
subleading terms that break it. Our analytical findings are tested against
exact numerical calculations in lattice models.
| [
{
"created": "Tue, 16 Jun 2020 10:59:33 GMT",
"version": "v1"
}
] | 2020-08-25 | [
[
"Murciano",
"Sara",
""
],
[
"Di Giulio",
"Giuseppe",
""
],
[
"Calabrese",
"Pasquale",
""
]
] | We present a thorough analysis of the entanglement entropies related to different symmetry sectors of free quantum field theories (QFT) with an internal U(1) symmetry. We provide explicit analytic computations for the charged moments of Dirac and complex scalar fields in two spacetime dimensions, both in the massive and massless cases, using two different approaches. The first one is based on the replica trick, the computation of the partition function on Riemann surfaces with the insertion of a flux $\alpha$, and the introduction of properly modified twist fields, whose two-point function directly gives the scaling limit of the charged moments. With the second method, the diagonalisation in replica space maps the problem to the computation of a partition function on a cut plane, that can be written exactly in terms of the solutions of non-linear differential equations of the Painlev\'e V type. Within this approach, we also derive an asymptotic expansion for the short and long distance behaviour of the charged moments. Finally, the Fourier transform provides the desired symmetry resolved entropies: at the leading order, they satisfy entanglement equipartition and we identify the subleading terms that break it. Our analytical findings are tested against exact numerical calculations in lattice models. |
0705.3404 | Subhaneil Lahiri | Subhaneil Lahiri and Shiraz Minwalla | Plasmarings as dual black rings | 40 pages, 40 figures. (v2) Correction to black brane equation of
state, additional references | JHEP 0805:001,2008 | 10.1088/1126-6708/2008/05/001 | null | hep-th | null | We construct solutions to the relativistic Navier-Stokes equations that
describe the long wavelength collective dynamics of the deconfined plasma phase
of N=4 Yang Mills theory compactified down to d=3 on a Scherk-Schwarz circle
and higher dimensional generalisations. Our solutions are stationary, axially
symmetric spinning balls and rings of plasma. These solutions, which are dual
to (yet to be constructed) rotating black holes and black rings in
Scherk-Schwarz compactified AdS(5) and AdS(6), and have properties that are
qualitatively similar to those of black holes and black rings in flat five
dimensional supergravity.
| [
{
"created": "Wed, 23 May 2007 15:51:00 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Dec 2007 19:43:29 GMT",
"version": "v2"
}
] | 2009-09-29 | [
[
"Lahiri",
"Subhaneil",
""
],
[
"Minwalla",
"Shiraz",
""
]
] | We construct solutions to the relativistic Navier-Stokes equations that describe the long wavelength collective dynamics of the deconfined plasma phase of N=4 Yang Mills theory compactified down to d=3 on a Scherk-Schwarz circle and higher dimensional generalisations. Our solutions are stationary, axially symmetric spinning balls and rings of plasma. These solutions, which are dual to (yet to be constructed) rotating black holes and black rings in Scherk-Schwarz compactified AdS(5) and AdS(6), and have properties that are qualitatively similar to those of black holes and black rings in flat five dimensional supergravity. |
1702.05453 | Sylvester Gates Jr. | Wes Caldwell, Alejandro Diaz, Isaac Friend, S. James Gates, Jr.,
Siddhartha Harmalkar, Tamar Lambert-Brown, Daniel Lay, Karina Martirosova,
Victor Meszaros, Mayowa Omokanwaye, Shaina Rudman, Daniel Shin, and Anthony
Vershov | On the Four Dimensional Holoraumy of the 4D, $\cal N$ = 1 Complex Linear
Supermultiplet | 27 pages, five figures, three tables, LaTeX twice, latest version
include coding descriptions and on-line access to codes, complete `crystal'
description, Univ. of Maryland Preprint #: UMDEPP--017-020, Brown Univ.
Preprint #: HET-1711 | null | 10.1142/S0217751X18500720 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present arguments to support the existence of weight spaces for
supersymmetric field theories and identify the calculations of information
about supermultiplets to define such spaces via the concept of "holoraumy." For
the first time this is extended to the complex linear supermultiplet by a
calculation of the commutator of supercovariant derivatives on all of its
component fields.
| [
{
"created": "Fri, 17 Feb 2017 17:39:19 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Feb 2017 17:43:37 GMT",
"version": "v2"
},
{
"created": "Wed, 8 Mar 2017 16:56:39 GMT",
"version": "v3"
},
{
"created": "Fri, 24 Mar 2017 02:55:33 GMT",
"version": "v4"
},
{
"cr... | 2018-05-23 | [
[
"Caldwell",
"Wes",
""
],
[
"Diaz",
"Alejandro",
""
],
[
"Friend",
"Isaac",
""
],
[
"Gates,",
"S. James",
"Jr."
],
[
"Harmalkar",
"Siddhartha",
""
],
[
"Lambert-Brown",
"Tamar",
""
],
[
"Lay",
"Daniel",
""
... | We present arguments to support the existence of weight spaces for supersymmetric field theories and identify the calculations of information about supermultiplets to define such spaces via the concept of "holoraumy." For the first time this is extended to the complex linear supermultiplet by a calculation of the commutator of supercovariant derivatives on all of its component fields. |
1411.1902 | Robert Blaga | Robert Blaga | Radiation of inertial scalar particles in the de Sitter universe | null | Mod. Phys. Lett. A, Vol. 30, No. 11 (2015) 1550062 | 10.1142/S0217732315500625 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the radiation from an inertial scalar particle evolving in a
de Sitter expanding Universe. In the context of scalar QED the process is
generated by the first order term in the perturbation theory expansion of the
S-matrix. The partial transition probability is obtained and analysed, and
soft-photon emission is found to dominate overall. It has been argued that an
inertial particle evolving in dS spacetime loses physical momentum just as a
decelerated particle in Minkowski space does. It is thus expected that an
inertial charge will radiate in a similar way. We investigate the radiated
energy and make a qualitative comparison of the angular distribution of the
energy with the radiation pattern in the latter case.
| [
{
"created": "Fri, 7 Nov 2014 13:21:58 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Jan 2015 20:18:52 GMT",
"version": "v2"
}
] | 2015-03-26 | [
[
"Blaga",
"Robert",
""
]
] | We investigate the radiation from an inertial scalar particle evolving in a de Sitter expanding Universe. In the context of scalar QED the process is generated by the first order term in the perturbation theory expansion of the S-matrix. The partial transition probability is obtained and analysed, and soft-photon emission is found to dominate overall. It has been argued that an inertial particle evolving in dS spacetime loses physical momentum just as a decelerated particle in Minkowski space does. It is thus expected that an inertial charge will radiate in a similar way. We investigate the radiated energy and make a qualitative comparison of the angular distribution of the energy with the radiation pattern in the latter case. |
2112.03201 | Dionisio Bazeia | D. Bazeia, M.A. Marques, R. Menezes | Maxwell-scalar device based on the electric dipole | 5 pages, 3 figures. To appear in PRD as a Letter | Phys. Rev. D 104 (2021) L121703 | 10.1103/PhysRevD.104.L121703 | null | hep-th cond-mat.mtrl-sci gr-qc | http://creativecommons.org/licenses/by/4.0/ | In this work we study the electric field of a dipole immersed in a medium
with permittivity controlled by a real scalar field which is non-minimally
coupled to the Maxwell field. We model the system with an interesting function,
which allows the presence of exact solutions, describing the possibility of the
permittivity to encapsulate the charges at very high values, giving rise to an
effect that is not present in the standard situation. The results are of direct
interest to applications for emission and absorption of radiation, and may
motivate new studies concerning binary stars and black holes in gravity
scenarios of current interest.
| [
{
"created": "Mon, 6 Dec 2021 17:58:22 GMT",
"version": "v1"
}
] | 2022-01-13 | [
[
"Bazeia",
"D.",
""
],
[
"Marques",
"M. A.",
""
],
[
"Menezes",
"R.",
""
]
] | In this work we study the electric field of a dipole immersed in a medium with permittivity controlled by a real scalar field which is non-minimally coupled to the Maxwell field. We model the system with an interesting function, which allows the presence of exact solutions, describing the possibility of the permittivity to encapsulate the charges at very high values, giving rise to an effect that is not present in the standard situation. The results are of direct interest to applications for emission and absorption of radiation, and may motivate new studies concerning binary stars and black holes in gravity scenarios of current interest. |
2110.01557 | Marco Matone | Marco Matone | Universe as Klein-Gordon Eigenstates | 10 pages. V2 Added a new symmetry of Friedmann's equations that
follows by their linear version. Typos corrected. V3 Typos corrected | Eur.Phys.J.C 81 (2021) 12, 1052 | 10.1140/epjc/s10052-021-09865-4 | null | hep-th astro-ph.CO gr-qc hep-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We formulate Friedmann's equations as second-order linear differential
equations. This is done using techniques related to the Schwarzian derivative
that selects the $\beta$-times $t_\beta:=\int^t a^{-2\beta}$, where $a$ is the
scale factor. In particular, it turns out that Friedmann's equations are
equivalent to the eigenvalue problems $$ O_{1/2} \Psi=\frac{\Lambda}{12}\Psi \
, \qquad O_1 a =-\frac{\Lambda}{3} a \ , $$ which is suggestive of a
measurement problem. $O_{\beta}(\rho,p)$ are space-independent Klein-Gordon
operators, depending only on energy density and pressure, and related to the
Klein-Gordon Hamilton-Jacobi equations. The $O_\beta$'s are also independent of
the spatial curvature, labeled by $k$, and absorbed in $$ \Psi=\sqrt a
e^{\frac{i}{2}\sqrt{k}\eta} \ . $$ The above pair of equations is the unique
possible linear form of Friedmann's equations unless $k=0$, in which case there
are infinitely many pairs of linear equations. Such a uniqueness just selects
the conformal time $\eta\equiv t_{1/2}$ among the $t_\beta$'s, which is the key
to absorb the curvature term. An immediate consequence of the linear form is
that it reveals a new symmetry of Friedmann's equations in flat space.
| [
{
"created": "Mon, 4 Oct 2021 16:51:13 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Oct 2021 16:21:12 GMT",
"version": "v2"
},
{
"created": "Sat, 4 Dec 2021 21:43:10 GMT",
"version": "v3"
}
] | 2021-12-07 | [
[
"Matone",
"Marco",
""
]
] | We formulate Friedmann's equations as second-order linear differential equations. This is done using techniques related to the Schwarzian derivative that selects the $\beta$-times $t_\beta:=\int^t a^{-2\beta}$, where $a$ is the scale factor. In particular, it turns out that Friedmann's equations are equivalent to the eigenvalue problems $$ O_{1/2} \Psi=\frac{\Lambda}{12}\Psi \ , \qquad O_1 a =-\frac{\Lambda}{3} a \ , $$ which is suggestive of a measurement problem. $O_{\beta}(\rho,p)$ are space-independent Klein-Gordon operators, depending only on energy density and pressure, and related to the Klein-Gordon Hamilton-Jacobi equations. The $O_\beta$'s are also independent of the spatial curvature, labeled by $k$, and absorbed in $$ \Psi=\sqrt a e^{\frac{i}{2}\sqrt{k}\eta} \ . $$ The above pair of equations is the unique possible linear form of Friedmann's equations unless $k=0$, in which case there are infinitely many pairs of linear equations. Such a uniqueness just selects the conformal time $\eta\equiv t_{1/2}$ among the $t_\beta$'s, which is the key to absorb the curvature term. An immediate consequence of the linear form is that it reveals a new symmetry of Friedmann's equations in flat space. |
0902.1307 | Edward Corrigan | E. Corrigan and C. Zambon | Comments on defects in the a_r Toda field theories | 23 pages; contribution to a volume dedicated to the memory of Alexei
Zamolodchikov | J.Phys.A42:304008,2009 | 10.1088/1751-8113/42/30/304008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A simple, basic, argument is given, based solely on energy-momentum
considerations to recover conditions under which a_r affine or conformal Toda
field theories can support defects of integrable type. Associated triangle
relations are solved to provide expressions for transmission matrices that
generalize previously known examples calculated for the sine-Gordon model and
the a_2 affine Toda model.
| [
{
"created": "Sun, 8 Feb 2009 13:13:27 GMT",
"version": "v1"
}
] | 2009-07-22 | [
[
"Corrigan",
"E.",
""
],
[
"Zambon",
"C.",
""
]
] | A simple, basic, argument is given, based solely on energy-momentum considerations to recover conditions under which a_r affine or conformal Toda field theories can support defects of integrable type. Associated triangle relations are solved to provide expressions for transmission matrices that generalize previously known examples calculated for the sine-Gordon model and the a_2 affine Toda model. |
1411.3289 | Marcus Spradlin | John Golden, Marcus Spradlin | A Cluster Bootstrap for Two-Loop MHV Amplitudes | v2: a few comments added | null | 10.1007/JHEP02(2015)002 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply a bootstrap procedure to two-loop MHV amplitudes in planar N=4
super-Yang-Mills theory. We argue that the mathematically most complicated part
(the $\Lambda^2 B_2$ coproduct component) of the n-particle amplitude is
uniquely determined by a simple cluster algebra property together with a few
physical constraints (dihedral symmetry, analytic structure, supersymmetry, and
well-defined collinear limits). We present a concise, closed-form expression
which manifests these properties for all n.
| [
{
"created": "Wed, 12 Nov 2014 19:22:18 GMT",
"version": "v1"
},
{
"created": "Sat, 17 Jan 2015 19:45:07 GMT",
"version": "v2"
}
] | 2015-06-23 | [
[
"Golden",
"John",
""
],
[
"Spradlin",
"Marcus",
""
]
] | We apply a bootstrap procedure to two-loop MHV amplitudes in planar N=4 super-Yang-Mills theory. We argue that the mathematically most complicated part (the $\Lambda^2 B_2$ coproduct component) of the n-particle amplitude is uniquely determined by a simple cluster algebra property together with a few physical constraints (dihedral symmetry, analytic structure, supersymmetry, and well-defined collinear limits). We present a concise, closed-form expression which manifests these properties for all n. |
0806.4039 | Thomas Larsson | T a Larsson | Virasoro 3-algebra from scalar densities | 5 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is shown that the ternary Virasoro-Witt algebra of Curtright, Fairlie and
Zachos can be constructed by applying the Nambu commutator to the vect(1)
realization on scalar densities. This construction is generalized to vect(d),
but the corresponding 3-algebra fails to close.
| [
{
"created": "Wed, 25 Jun 2008 07:52:56 GMT",
"version": "v1"
}
] | 2008-06-26 | [
[
"Larsson",
"T a",
""
]
] | It is shown that the ternary Virasoro-Witt algebra of Curtright, Fairlie and Zachos can be constructed by applying the Nambu commutator to the vect(1) realization on scalar densities. This construction is generalized to vect(d), but the corresponding 3-algebra fails to close. |
hep-th/0508073 | Jean Alexandre | Jean Alexandre, Nick E. Mavromatos | An Alternative to Exact Renormalization and Cosmological Solutions in
String Theory | Based on a talk presented in Demokritos National Research Centre
(Athens, Greece), in June 2005 | null | null | null | hep-th gr-qc hep-ph | null | In this work we review the application of a functional method, serving as an
alternative to the Wilsonian Exact Renormalization approach, to stringy bosonic
$\sigma$-models with metric and dilaton backgrounds on a spherical world sheet
[1]. We derive an exact evolution equation for the dilaton with the amplitude
of quantum fluctuations, driven by the kinetic term of the two-dimensional
world-sheet theory. The linear dilaton conformal field theory, corresponding to
a linearly (in cosmic Einstein-frame time) expanding Universe, appears as a
trivial fixed point of this equation. With the help of conformal-invariance
conditions, we find a logarithmic dilaton as another, exact and non trivial,
fixed-point solution. Cosmological implications of our solutions are briefly
discussed, in particular the transition (exit) from the expanding Universe of
the linear dilaton to the Minkowski vacuum, corresponding to the non-trivial
fixed point of our generalised flow. This novel renormalization-group method
may therefore offer new insights into exact properties of string theories of
physical significance.
| [
{
"created": "Wed, 10 Aug 2005 17:28:49 GMT",
"version": "v1"
},
{
"created": "Sat, 24 Jun 2006 15:58:27 GMT",
"version": "v2"
},
{
"created": "Wed, 14 Feb 2007 18:40:44 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Alexandre",
"Jean",
""
],
[
"Mavromatos",
"Nick E.",
""
]
] | In this work we review the application of a functional method, serving as an alternative to the Wilsonian Exact Renormalization approach, to stringy bosonic $\sigma$-models with metric and dilaton backgrounds on a spherical world sheet [1]. We derive an exact evolution equation for the dilaton with the amplitude of quantum fluctuations, driven by the kinetic term of the two-dimensional world-sheet theory. The linear dilaton conformal field theory, corresponding to a linearly (in cosmic Einstein-frame time) expanding Universe, appears as a trivial fixed point of this equation. With the help of conformal-invariance conditions, we find a logarithmic dilaton as another, exact and non trivial, fixed-point solution. Cosmological implications of our solutions are briefly discussed, in particular the transition (exit) from the expanding Universe of the linear dilaton to the Minkowski vacuum, corresponding to the non-trivial fixed point of our generalised flow. This novel renormalization-group method may therefore offer new insights into exact properties of string theories of physical significance. |
1001.0042 | Yi Pang | H. Lu, Yi Pang | Seven-Dimensional Gravity with Topological Terms | 8 pages, the curvature convention is changed, minor corrections and
references added. | Phys.Rev.D81:085016,2010 | 10.1103/PhysRevD.81.085016 | null | hep-th | http://creativecommons.org/licenses/publicdomain/ | We construct new seven-dimensional gravity by adding two topological terms to
the Einstein-Hilbert action. For certain choice of the coupling constants,
these terms may be related to the R^4 correction to the 3-form field equation
of eleven-dimensional supergravity. We derive the full set of the equations of
motion. We find that the static spherically-symmetric black holes are
unmodified by the topological terms. We obtain squashed AdS_7, and also
squashed seven spheres and Q^{111} spaces in Euclidean signature.
| [
{
"created": "Wed, 30 Dec 2009 23:05:06 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Apr 2010 01:33:19 GMT",
"version": "v2"
}
] | 2010-05-12 | [
[
"Lu",
"H.",
""
],
[
"Pang",
"Yi",
""
]
] | We construct new seven-dimensional gravity by adding two topological terms to the Einstein-Hilbert action. For certain choice of the coupling constants, these terms may be related to the R^4 correction to the 3-form field equation of eleven-dimensional supergravity. We derive the full set of the equations of motion. We find that the static spherically-symmetric black holes are unmodified by the topological terms. We obtain squashed AdS_7, and also squashed seven spheres and Q^{111} spaces in Euclidean signature. |
hep-th/0404126 | Lo\"ic Bervas | M.C. Berg\`ere | Biorthogonal Polynomials for Potentials of two Variables and External
Sources at the Denominator | latex Poly3.tex, 1 file, 25 pages
http://www-spht.cea.fr/articles/T04/042 [SPhT-T04/042] | null | null | SPhT-T04/042 | hep-th math-ph math.MP | null | We construct biorthogonal polynomials for a measure over the complex plane
which consists in the exponential of a potential V(z,z*) and in a set of
external sources at the numerator and at the denominator. We use the pseudonorm
of these polynomials to calculate the resolvent integral for correlation
functions of traces of powers of complex matrices (under certain conditions).
| [
{
"created": "Mon, 19 Apr 2004 12:55:12 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Bergère",
"M. C.",
""
]
] | We construct biorthogonal polynomials for a measure over the complex plane which consists in the exponential of a potential V(z,z*) and in a set of external sources at the numerator and at the denominator. We use the pseudonorm of these polynomials to calculate the resolvent integral for correlation functions of traces of powers of complex matrices (under certain conditions). |
hep-th/0601061 | Gor Sarkissian | Gor Sarkissian | Generalised Permutation Branes on a product of cosets $G_{k_1}/H\times
G_{k_2}/H$ | 18 pages, latex | Nucl.Phys.B747:423-435,2006 | 10.1016/j.nuclphysb.2006.04.031 | null | hep-th | null | We study the modifications of the generalized permutation branes defined in
hep-th/0509153, which are required to give rise to the non-factorizable branes
on a product of cosets $G_{k_1}/H\times G_{k_2}/H$. We find that for $k_1\neq
k_2$ there exists big variety of branes, which reduce to the usual permutation
branes, when $k_1=k_2$ and the permutation symmetry is restored.
| [
{
"created": "Tue, 10 Jan 2006 19:42:55 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Sarkissian",
"Gor",
""
]
] | We study the modifications of the generalized permutation branes defined in hep-th/0509153, which are required to give rise to the non-factorizable branes on a product of cosets $G_{k_1}/H\times G_{k_2}/H$. We find that for $k_1\neq k_2$ there exists big variety of branes, which reduce to the usual permutation branes, when $k_1=k_2$ and the permutation symmetry is restored. |
1010.1515 | Daniel Koschade | Andreas Brandhuber, Dimitrios Korres, Daniel Koschade, Gabriele
Travaglini | One-loop Amplitudes in Six-Dimensional (1,1) Theories from Generalised
Unitarity | 40 pages, 7 figures | JHEP 1102:077,2011 | 10.1007/JHEP02(2011)077 | QMUL-PH-10-11 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, the spinor helicity formalism and on-shell superspace were
developed for six-dimensional gauge theories with (1,1) supersymmetry. We
combine these two techniques with (generalised) unitarity, which is a powerful
technique to calculate scattering amplitudes in any massless theory. As an
application we calculate one-loop superamplitudes with four and five external
particles in the (1,1) theory and perform several consistency checks on our
results.
| [
{
"created": "Thu, 7 Oct 2010 19:16:20 GMT",
"version": "v1"
}
] | 2011-03-02 | [
[
"Brandhuber",
"Andreas",
""
],
[
"Korres",
"Dimitrios",
""
],
[
"Koschade",
"Daniel",
""
],
[
"Travaglini",
"Gabriele",
""
]
] | Recently, the spinor helicity formalism and on-shell superspace were developed for six-dimensional gauge theories with (1,1) supersymmetry. We combine these two techniques with (generalised) unitarity, which is a powerful technique to calculate scattering amplitudes in any massless theory. As an application we calculate one-loop superamplitudes with four and five external particles in the (1,1) theory and perform several consistency checks on our results. |
2103.11745 | Doron Gepner R | Doron Gepner | On the $D_n$ Spin Vertex Models for Odd $n$ | 6 pages, no figures | null | 10.1016/j.physletb.2021.136337 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Solvable vertex models in two dimensions are of importance in conformal field
theory, phase
transitions and integrable models.
We consider here the $D_n$ spin vertex models, for $n$ which is odd.
The models involve also the anti--spinor representation. We describe here the
Boltzmann weights
for these representations using crossing symmetry from the previously known
spinor representations.
For calculation reasons we limit ourself to the $n=3$ and $n=5$ cases, which
are described
explicitly.
| [
{
"created": "Mon, 22 Mar 2021 11:54:16 GMT",
"version": "v1"
}
] | 2021-06-02 | [
[
"Gepner",
"Doron",
""
]
] | Solvable vertex models in two dimensions are of importance in conformal field theory, phase transitions and integrable models. We consider here the $D_n$ spin vertex models, for $n$ which is odd. The models involve also the anti--spinor representation. We describe here the Boltzmann weights for these representations using crossing symmetry from the previously known spinor representations. For calculation reasons we limit ourself to the $n=3$ and $n=5$ cases, which are described explicitly. |
1507.02335 | Patrick Concha | P.K. Concha, O. Fierro, E.K. Rodr\'iguez, P. Salgado | Chern-Simons Supergravity in D=3 and Maxwell superalgebra | v2, 14 pages, version accepted for publication in Physics Letters B | Phys. Lett. B 750 (2015) 117-121 | 10.1016/j.physletb.2015.09.005 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present the construction of the $D=3$ Chern-Simons supergravity action
without cosmological constant from the minimal Maxwell superalgebra
$s\mathcal{M}_{3}$. This superalgebra contains two Majorana fermionic charges
and can be obtained from the $\mathfrak{osp}\left( 2|1\right)
\otimes\mathfrak{sp}\left( 2\right) $ superalgebra using the abelian semigroup
expansion procedure. The components of the Maxwell invariant tensor are
explicitly derived.
| [
{
"created": "Wed, 8 Jul 2015 23:27:25 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Sep 2015 18:41:12 GMT",
"version": "v2"
}
] | 2015-09-10 | [
[
"Concha",
"P. K.",
""
],
[
"Fierro",
"O.",
""
],
[
"Rodríguez",
"E. K.",
""
],
[
"Salgado",
"P.",
""
]
] | We present the construction of the $D=3$ Chern-Simons supergravity action without cosmological constant from the minimal Maxwell superalgebra $s\mathcal{M}_{3}$. This superalgebra contains two Majorana fermionic charges and can be obtained from the $\mathfrak{osp}\left( 2|1\right) \otimes\mathfrak{sp}\left( 2\right) $ superalgebra using the abelian semigroup expansion procedure. The components of the Maxwell invariant tensor are explicitly derived. |
hep-th/9412134 | Kh. S. Nirov | Khazret S. Nirov | BRST formalism for systems with higher order derivatives of gauge
parameters | 19 pages, LaTeX, no figures | Int.J.Mod.Phys. A11 (1996) 5279 | 10.1142/S0217751X9600242X | INR-867/94 | hep-th | null | For a wide class of mechanical systems, invariant under gauge transformations
with higher (arbitrary) order time derivatives of gauge parameters, the
equivalence of Lagrangian and Hamiltonian BRST formalisms is proved. It is
shown that the Ostrogradsky formalism establishes the natural rules to relate
the BFV ghost canonical pairs with the ghosts and antighosts introduced by the
Lagrangian approach. Explicit relation between corresponding gauge-fixing terms
is obtained.
| [
{
"created": "Thu, 15 Dec 1994 18:50:32 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Nirov",
"Khazret S.",
""
]
] | For a wide class of mechanical systems, invariant under gauge transformations with higher (arbitrary) order time derivatives of gauge parameters, the equivalence of Lagrangian and Hamiltonian BRST formalisms is proved. It is shown that the Ostrogradsky formalism establishes the natural rules to relate the BFV ghost canonical pairs with the ghosts and antighosts introduced by the Lagrangian approach. Explicit relation between corresponding gauge-fixing terms is obtained. |
1811.08437 | Andrea Mauri | Carolina Gomez, Andrea Mauri and Silvia Penati | The Bremsstrahlung function of $\mathcal{N} \!= \!2 $ SCQCD | 30 pages; v3: JHEP published version | null | 10.1007/JHEP03(2019)122 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For $SU(N)$ superconformal QCD we perform a three-loop calculation of the
generalized cusp anomalous dimension of the BPS Wilson loop operator using HQET
formalism. We obtain an expression which is valid at generic geometric and
internal angles and finite gauge group rank $N$. For equal and opposite angles
this expression vanishes, proving that at these points the cusp becomes BPS.
From its small angle expansion we derive the corresponding Bremsstrahlung
function at three loops, matching the matrix model prediction given in terms of
derivatives of the Wilson loop on the ellipsoid. Finally, we discuss possible
scenarios at higher loops, with respect to the existence of a universal
effective coupling in an integrable subsector of the model.
| [
{
"created": "Tue, 20 Nov 2018 19:00:06 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Dec 2018 09:10:56 GMT",
"version": "v2"
},
{
"created": "Wed, 20 Mar 2019 09:01:20 GMT",
"version": "v3"
}
] | 2019-05-01 | [
[
"Gomez",
"Carolina",
""
],
[
"Mauri",
"Andrea",
""
],
[
"Penati",
"Silvia",
""
]
] | For $SU(N)$ superconformal QCD we perform a three-loop calculation of the generalized cusp anomalous dimension of the BPS Wilson loop operator using HQET formalism. We obtain an expression which is valid at generic geometric and internal angles and finite gauge group rank $N$. For equal and opposite angles this expression vanishes, proving that at these points the cusp becomes BPS. From its small angle expansion we derive the corresponding Bremsstrahlung function at three loops, matching the matrix model prediction given in terms of derivatives of the Wilson loop on the ellipsoid. Finally, we discuss possible scenarios at higher loops, with respect to the existence of a universal effective coupling in an integrable subsector of the model. |
1311.0015 | Simon Gentle A | Simon A. Gentle and Mukund Rangamani | Holographic entanglement and causal information in coherent states | 43 pages, 19 figures; v2: typos fixed, published version; v3:
perturbative results generalized | JHEP 1401 (2014) 120 | 10.1007/JHEP01(2014)120 | DCPT-13/37 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Scalar solitons in global AdS4 are holographically dual to coherent states
carrying a non-trivial condensate of a scalar operator. We study the
holographic information content of these states, focusing on a particular
spatial region, by examining the entanglement entropy and causal holographic
information. We show generically that whenever the dimension of the condensed
operator is sufficiently low (characterized by the double-trace operator
becoming relevant), such coherent states have lower entanglement and causal
holographic information than the vacuum state of the system, despite having
greater energy. We also use these geometries to illustrate the fact that causal
wedges associated with a simply-connected boundary region can have non-trivial
topology even in causally trivial spacetimes.
| [
{
"created": "Thu, 31 Oct 2013 20:01:33 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Feb 2014 05:38:53 GMT",
"version": "v2"
},
{
"created": "Wed, 10 Aug 2016 18:40:08 GMT",
"version": "v3"
}
] | 2016-08-11 | [
[
"Gentle",
"Simon A.",
""
],
[
"Rangamani",
"Mukund",
""
]
] | Scalar solitons in global AdS4 are holographically dual to coherent states carrying a non-trivial condensate of a scalar operator. We study the holographic information content of these states, focusing on a particular spatial region, by examining the entanglement entropy and causal holographic information. We show generically that whenever the dimension of the condensed operator is sufficiently low (characterized by the double-trace operator becoming relevant), such coherent states have lower entanglement and causal holographic information than the vacuum state of the system, despite having greater energy. We also use these geometries to illustrate the fact that causal wedges associated with a simply-connected boundary region can have non-trivial topology even in causally trivial spacetimes. |
hep-th/9802087 | Mark Wellmann | Mark Wellmann | Adiabatic Vacuumstates of the Dirac-field on a Curved Spacetime | 21 pages, amsart | null | null | null | hep-th | null | In this article we review the quantization of the Dirac-field on a curved
spacetime. For that purpose we describe the construction of the local
observable algebras in the algebraic approach to quantum field theory. Among
the possible states we single out the so called Hadamard-states, which are the
ones relevant for physics. Finally, as an example, we give a definition for an
adiabatic vacuum state of the Dirac-field on a Robertson-Walker spacetime. We
believe that these states are physical in the sense that they have the
singularity structure of Hadamard-form, although we cannot give a formal proof
of this conjecture.
| [
{
"created": "Thu, 12 Feb 1998 15:39:57 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Wellmann",
"Mark",
""
]
] | In this article we review the quantization of the Dirac-field on a curved spacetime. For that purpose we describe the construction of the local observable algebras in the algebraic approach to quantum field theory. Among the possible states we single out the so called Hadamard-states, which are the ones relevant for physics. Finally, as an example, we give a definition for an adiabatic vacuum state of the Dirac-field on a Robertson-Walker spacetime. We believe that these states are physical in the sense that they have the singularity structure of Hadamard-form, although we cannot give a formal proof of this conjecture. |
1612.07267 | Ibrahim Burak Ilhan | Candost Akkaya, Ibrahim Burak Ilhan and Alex Kovner | 2+1 d Georgi Glashow Model Near Critical Temperature | 20 pages, 4 figures | Phys. Rev. D 95, 085006 (2017) | 10.1103/PhysRevD.95.085006 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study correlations functions of magnetic vortices $V$ and Polyakov loop
$P$ operators in the 2+1 dimensional Georgi-Glashow model in the vicinity of
the deconfining phase transition. In this regime the (dimensionally reduced)
model is mapped onto a free theory of two massive Majorana fermions. We utilize
this fermionic representation to explicitly calculate the expectation values of
$V$ and $P$ as well as their correlators. In particular we show that the $VV$
correlator is large, and thus the anomalous breaking of the magnetic $U(1)$
symmetry is order one effect in the near critical region. We also calculate the
contribution of magnetic vortices to the entropy and the free energy of the
system.
| [
{
"created": "Wed, 21 Dec 2016 18:42:19 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Apr 2017 06:55:13 GMT",
"version": "v2"
}
] | 2017-04-19 | [
[
"Akkaya",
"Candost",
""
],
[
"Ilhan",
"Ibrahim Burak",
""
],
[
"Kovner",
"Alex",
""
]
] | We study correlations functions of magnetic vortices $V$ and Polyakov loop $P$ operators in the 2+1 dimensional Georgi-Glashow model in the vicinity of the deconfining phase transition. In this regime the (dimensionally reduced) model is mapped onto a free theory of two massive Majorana fermions. We utilize this fermionic representation to explicitly calculate the expectation values of $V$ and $P$ as well as their correlators. In particular we show that the $VV$ correlator is large, and thus the anomalous breaking of the magnetic $U(1)$ symmetry is order one effect in the near critical region. We also calculate the contribution of magnetic vortices to the entropy and the free energy of the system. |
hep-th/9311011 | null | D.T.Barclay, Avinash Khare and U.Sukhatme | Is the Lowest Order Supersymmetric WKB Approximation Exact for All Shape
Invariant Potentials ? | 8 pages | Phys.Lett. A183 (1993) 263-266 | 10.1016/0375-9601(93)90452-6 | UICHEP-TH/93-13 | hep-th | null | It has previously been proved that the lowest order supersymmetric WKB
approximation reproduces the exact bound state spectrum of shape invariant
potentials. We show that this is not true for a new, recently discovered class
of shape invariant potentials and analyse the reasons underlying this breakdown
of the usual proof.
| [
{
"created": "Tue, 2 Nov 1993 00:28:09 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Barclay",
"D. T.",
""
],
[
"Khare",
"Avinash",
""
],
[
"Sukhatme",
"U.",
""
]
] | It has previously been proved that the lowest order supersymmetric WKB approximation reproduces the exact bound state spectrum of shape invariant potentials. We show that this is not true for a new, recently discovered class of shape invariant potentials and analyse the reasons underlying this breakdown of the usual proof. |
hep-th/9506003 | Kazuo Fujikawa | Kazuo Fujikawa | Analytic index and chiral fermions | 18 pages, plain Latex | Indian J.Phys. 70A (1996) 275-291 | null | UT-707, 1995 | hep-th | null | A recent application of an index relation of the form, $dim\ ker\ M - dim\
ker\ M^{\dagger} = \nu$, to the generation of chiral fermions in a vector-like
gauge theory is reviewed. In this scheme the chiral structure arises from a
mass term with a non-trivial index.The essence of the generalized Pauli-Villars
regularization of chiral gauge theory, which is based on this mechanism, is
also clarified.
| [
{
"created": "Thu, 1 Jun 1995 08:17:16 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Fujikawa",
"Kazuo",
""
]
] | A recent application of an index relation of the form, $dim\ ker\ M - dim\ ker\ M^{\dagger} = \nu$, to the generation of chiral fermions in a vector-like gauge theory is reviewed. In this scheme the chiral structure arises from a mass term with a non-trivial index.The essence of the generalized Pauli-Villars regularization of chiral gauge theory, which is based on this mechanism, is also clarified. |
2305.18126 | James Martin Speight | James Martin Speight and Thomas Winyard | Nudged Elastic Bands and Lightly Bound Skyrmions | null | SIGMA 19 (2023), 073, 26 pages | 10.3842/SIGMA.2023.073 | null | hep-th | http://creativecommons.org/licenses/by-sa/4.0/ | It has become clear in recent years that the configuration space of the
nuclear Skyrme model has, in each topological class, many almost degenerate
local energy minima and that the number of such minima grows with the degree
(or baryon number) $B$. Rigid body quantization, in which one quantizes motion
on the spin-isospin orbit of just one minimum, is thus an ill-justified
approximation. Instead, one should identify a (finite-dimensional) moduli space
of configurations containing all local minima (for a given $B$) as well as
fields interpolating smoothly between them. This paper proposes a systematic
computational scheme for generating such a moduli space: one constructs an
energy minimizing path between each pair of local minima, then defines the
moduli space to be the union of spin-isospin orbits of points on the union of
these curves, a principal bundle over a graph. The energy minimizing curves may
be constructed in practice using the nudged elastic band method, a standard
tool in mathematical chemistry for analyzing reaction paths and computing
activation energies. To illustrate, we apply this scheme to the lightly bound
Skyrme model in the point particle approximation, constructing the graphs for
$5\leq B\leq 10$. We go on to complete the quantization for $B=7$, in which the
graph has two vertices and a single edge. The low-lying quantum states with
isospin $1/2$ do not strongly localize around either of the local energy minima
(the vertices). Their energies rise monotonically with spin, conflicting with
experimental data for Lithium-7.
| [
{
"created": "Mon, 29 May 2023 14:45:27 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Oct 2023 05:47:08 GMT",
"version": "v2"
}
] | 2023-10-12 | [
[
"Speight",
"James Martin",
""
],
[
"Winyard",
"Thomas",
""
]
] | It has become clear in recent years that the configuration space of the nuclear Skyrme model has, in each topological class, many almost degenerate local energy minima and that the number of such minima grows with the degree (or baryon number) $B$. Rigid body quantization, in which one quantizes motion on the spin-isospin orbit of just one minimum, is thus an ill-justified approximation. Instead, one should identify a (finite-dimensional) moduli space of configurations containing all local minima (for a given $B$) as well as fields interpolating smoothly between them. This paper proposes a systematic computational scheme for generating such a moduli space: one constructs an energy minimizing path between each pair of local minima, then defines the moduli space to be the union of spin-isospin orbits of points on the union of these curves, a principal bundle over a graph. The energy minimizing curves may be constructed in practice using the nudged elastic band method, a standard tool in mathematical chemistry for analyzing reaction paths and computing activation energies. To illustrate, we apply this scheme to the lightly bound Skyrme model in the point particle approximation, constructing the graphs for $5\leq B\leq 10$. We go on to complete the quantization for $B=7$, in which the graph has two vertices and a single edge. The low-lying quantum states with isospin $1/2$ do not strongly localize around either of the local energy minima (the vertices). Their energies rise monotonically with spin, conflicting with experimental data for Lithium-7. |
0812.0713 | Martin Kober | Martin Kober | Relation of a Unified Quantum Field Theory of Spinors to the Structure
of General Relativity | 9 pages, 2 figures | Phys.Rev.D79:084009,2009 | 10.1103/PhysRevD.79.084009 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Based on a unified quantum field theory of spinors assumed to describe all
matter fields and their interactions we construct the space time structure of
general relativity according to a general connection within the corresponding
spinor space. The tetrad field and the corresponding metric field are composed
from a space time dependent basis of spinors within the internal space of the
fundamental matter field. Similar to twistor theory the Minkowski signature of
the space time metric is related to this spinor nature of elementary matter, if
we assume the spinor space to be endowed with a symplectic structure. The
equivalence principle and the property of background independence arise from
the fact that all elementary fields are composed from the fundamental spinor
field. This means that the structure of space time according to general
relativity seems to be a consequence of a fundamental theory of matter fields
and not a presupposition as in the usual setting of relativistic quantum field
theories.
| [
{
"created": "Wed, 3 Dec 2008 13:36:48 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Mar 2009 17:22:31 GMT",
"version": "v2"
},
{
"created": "Sat, 21 Mar 2009 15:20:58 GMT",
"version": "v3"
},
{
"created": "Sun, 29 Mar 2009 09:46:04 GMT",
"version": "v4"
}
] | 2009-05-11 | [
[
"Kober",
"Martin",
""
]
] | Based on a unified quantum field theory of spinors assumed to describe all matter fields and their interactions we construct the space time structure of general relativity according to a general connection within the corresponding spinor space. The tetrad field and the corresponding metric field are composed from a space time dependent basis of spinors within the internal space of the fundamental matter field. Similar to twistor theory the Minkowski signature of the space time metric is related to this spinor nature of elementary matter, if we assume the spinor space to be endowed with a symplectic structure. The equivalence principle and the property of background independence arise from the fact that all elementary fields are composed from the fundamental spinor field. This means that the structure of space time according to general relativity seems to be a consequence of a fundamental theory of matter fields and not a presupposition as in the usual setting of relativistic quantum field theories. |
hep-th/0205312 | Cesar Fosco | C. D. Fosco (Centro Atomico Bariloche) | Quantum stability of defects for a Dirac field coupled to a scalar field
in 2+1 dimensions | 21 pages, no figures | null | null | null | hep-th | null | We study the Euclidean effective action and the full fermion propagator for a
Dirac field in the presence of a scalar field with a domain wall defect, in 2+1
dimensions. We include quantum effects due to both fermion and scalar field
fluctuations, in a one-loop approximation. The results are interpreted in terms
of the quantum stability of the zero mode solution. We also study, for this
system, the induced `inertial' electric field for the fermions on the defect,
due to the quantum fluctuations of the scalar field.
| [
{
"created": "Thu, 30 May 2002 18:58:14 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Fosco",
"C. D.",
"",
"Centro Atomico Bariloche"
]
] | We study the Euclidean effective action and the full fermion propagator for a Dirac field in the presence of a scalar field with a domain wall defect, in 2+1 dimensions. We include quantum effects due to both fermion and scalar field fluctuations, in a one-loop approximation. The results are interpreted in terms of the quantum stability of the zero mode solution. We also study, for this system, the induced `inertial' electric field for the fermions on the defect, due to the quantum fluctuations of the scalar field. |
0711.1111 | Javier de Lucas Araujo | Luis J. Boya and E. C. G. Sudarshan | The Spin-Statistics Theorem in Arbitrary Dimensions | 14 pages. To be published in International Journal of Theoretical
Physics | Int.J.Theor.Phys.46:3285-3293,2007 | 10.1007/s10773-007-9448-5 | null | hep-th | null | We investigate the spin-statistics connection in arbitrary dimensions for
hermitian spinor or tensor quantum fields with a rotationally invariant
bilinear Lagrangian density. We use essentially the same simple method as for
space dimension D = 3. We find the usual connection (tensors as bosons and
spinors as fermions) for D = 8n + 3; 8n + 4; 8n + 5, but only bosons for
spinors and tensors in dimensions 8n +/- 1 and 8n. In dimensions 4n + 2 the
spinors may be chosen as bosons or fermions. The argument hinges on finding the
identity representation of the rotation group either on the symmetric or the
antisymmetric part of the square of the field representation.
| [
{
"created": "Wed, 7 Nov 2007 16:34:09 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Boya",
"Luis J.",
""
],
[
"Sudarshan",
"E. C. G.",
""
]
] | We investigate the spin-statistics connection in arbitrary dimensions for hermitian spinor or tensor quantum fields with a rotationally invariant bilinear Lagrangian density. We use essentially the same simple method as for space dimension D = 3. We find the usual connection (tensors as bosons and spinors as fermions) for D = 8n + 3; 8n + 4; 8n + 5, but only bosons for spinors and tensors in dimensions 8n +/- 1 and 8n. In dimensions 4n + 2 the spinors may be chosen as bosons or fermions. The argument hinges on finding the identity representation of the rotation group either on the symmetric or the antisymmetric part of the square of the field representation. |
0706.3605 | Gabor Takacs | B. Pozsgay and G. Takacs | Form factors in finite volume II:disconnected terms and finite
temperature correlators | 44 pages, 16 eps figures, LaTeX2e file | Nucl.Phys.B788:209-251,2008 | 10.1016/j.nuclphysb.2007.07.008 | ITP-Budapest Report No. 635 | hep-th cond-mat.other hep-lat | null | Continuing the investigation started in a previous work, we consider form
factors of integrable quantum field theories in finite volume, extending our
investigation to matrix elements with disconnected pieces. Numerical
verification of our results is provided by truncated conformal space approach.
Such matrix elements are important in computing finite temperature correlation
functions, and we give a new method for generating a low temperature expansion,
which we test for the one-point function up to third order.
| [
{
"created": "Mon, 25 Jun 2007 09:44:39 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Pozsgay",
"B.",
""
],
[
"Takacs",
"G.",
""
]
] | Continuing the investigation started in a previous work, we consider form factors of integrable quantum field theories in finite volume, extending our investigation to matrix elements with disconnected pieces. Numerical verification of our results is provided by truncated conformal space approach. Such matrix elements are important in computing finite temperature correlation functions, and we give a new method for generating a low temperature expansion, which we test for the one-point function up to third order. |
1412.8346 | Xian-Hui Ge | Xian-Hui Ge, Yi Ling, Chao Niu, Sang-Jin Sin | Thermoelectric conductivities, shear viscosity, and stability in an
anisotropic linear axion model | title changed, 31 pages, many figures, references added, PRD in press | Phys. Rev. D 92, 106005 (2015) | 10.1103/PhysRevD.92.106005 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study thermoelectric conductivities and shear viscosities in a
holographically anisotropic model, which is dual to a spatially anisotropic
$\mathcal{N}=4$ super-Yang-Mills theory at finite chemical potential. Momentum
relaxation is realized through perturbing the linear axion field. Ac
conductivity exhibits a coherent/incoherent metal transition. Deviations from
the Wiedemann-Franz law are also observed in our model. The longitudinal shear
viscosity for prolate anisotropy violates the bound conjectured by
Kovtun-Son-Starinets. We also find that thermodynamic and dynamical
instabilities are not always equivalent by examining the Gubser-Mitra
conjecture.
| [
{
"created": "Mon, 29 Dec 2014 14:07:14 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Jan 2015 07:54:51 GMT",
"version": "v2"
},
{
"created": "Mon, 16 Nov 2015 07:42:21 GMT",
"version": "v3"
}
] | 2015-11-25 | [
[
"Ge",
"Xian-Hui",
""
],
[
"Ling",
"Yi",
""
],
[
"Niu",
"Chao",
""
],
[
"Sin",
"Sang-Jin",
""
]
] | We study thermoelectric conductivities and shear viscosities in a holographically anisotropic model, which is dual to a spatially anisotropic $\mathcal{N}=4$ super-Yang-Mills theory at finite chemical potential. Momentum relaxation is realized through perturbing the linear axion field. Ac conductivity exhibits a coherent/incoherent metal transition. Deviations from the Wiedemann-Franz law are also observed in our model. The longitudinal shear viscosity for prolate anisotropy violates the bound conjectured by Kovtun-Son-Starinets. We also find that thermodynamic and dynamical instabilities are not always equivalent by examining the Gubser-Mitra conjecture. |
1107.5780 | Mukund Rangamani | Veronika E. Hubeny, Shiraz Minwalla, Mukund Rangamani | The fluid/gravity correspondence | 41 pages, Chapter of a book "Black Holes in Higher Dimensions" to be
published by Cambridge University Press (editor: G. Horowitz) | null | null | null | hep-th gr-qc physics.flu-dyn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review the fluid/gravity correspondence which relates the dynamics of
Einstein's equations (with negative cosmological constant) to the dynamics of
relativistic Navier-Stokes equations.
| [
{
"created": "Thu, 28 Jul 2011 17:54:29 GMT",
"version": "v1"
}
] | 2011-07-29 | [
[
"Hubeny",
"Veronika E.",
""
],
[
"Minwalla",
"Shiraz",
""
],
[
"Rangamani",
"Mukund",
""
]
] | We review the fluid/gravity correspondence which relates the dynamics of Einstein's equations (with negative cosmological constant) to the dynamics of relativistic Navier-Stokes equations. |
2305.11568 | Gianmassimo Tasinato | Gianmassimo Tasinato | A large $|\eta|$ approach to single field inflation | 21 pages, 3 figures. V2: Improved version, to be published in PRD | null | null | null | hep-th astro-ph.CO | http://creativecommons.org/licenses/by/4.0/ | Single field models of inflation capable to produce primordial black holes
usually require a significant departure from the standard, perturbative
slow-roll regime. In fact, in many of these scenarios, the size of the
slow-roll parameter $|\eta|$ becomes larger than one during a short phase of
inflationary evolution. In order to develop an analytical control on these
systems, we explore the limit of $|\eta|$ large, and promote $1/|\eta|$ to a
small quantity to be used for perturbative expansions. Formulas simplify, and
we obtain analytic expressions for the two and three point functions of
curvature fluctuations, which share some of the features found in realistic
inflationary models generating primordial black holes. We study one-loop
corrections in this framework: we discuss criteria for adsorbing ultraviolet
divergences into the available parameters, leaving log-enhanced infrared
contributions of controllable size.
| [
{
"created": "Fri, 19 May 2023 10:14:04 GMT",
"version": "v1"
},
{
"created": "Sat, 5 Aug 2023 14:34:59 GMT",
"version": "v2"
}
] | 2023-08-08 | [
[
"Tasinato",
"Gianmassimo",
""
]
] | Single field models of inflation capable to produce primordial black holes usually require a significant departure from the standard, perturbative slow-roll regime. In fact, in many of these scenarios, the size of the slow-roll parameter $|\eta|$ becomes larger than one during a short phase of inflationary evolution. In order to develop an analytical control on these systems, we explore the limit of $|\eta|$ large, and promote $1/|\eta|$ to a small quantity to be used for perturbative expansions. Formulas simplify, and we obtain analytic expressions for the two and three point functions of curvature fluctuations, which share some of the features found in realistic inflationary models generating primordial black holes. We study one-loop corrections in this framework: we discuss criteria for adsorbing ultraviolet divergences into the available parameters, leaving log-enhanced infrared contributions of controllable size. |
1402.5765 | Sylvester Gates Jr. | Mathew Calkins, D. E. A. Gates, S. J. Gates, Jr., and B. McPeak | Is It Possible To Embed A 4D, N = 4 Supersymmetric Vector Multiplet
Within A Completely Off-Shell Adinkra Hologram? | 27 pages, 6 images, 1 table, LaTex twice | null | 10.1007/JHEP05(2014)057 | University of Maryland Preprint UMDEPP-014-004 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present evidence of the existence of a 1D, N = 16 SUSY hologram that can
be used to understand representation theory aspects of a 4D, N = 4
supersymmetrical vector multiplet. In this context, the long-standing off-shell
"SUSY problem" for the 4D, N = 4 Maxwell supermultiplet is precisely formulated
as a problem in linear algebra.
| [
{
"created": "Mon, 24 Feb 2014 09:48:22 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Feb 2015 13:25:04 GMT",
"version": "v2"
}
] | 2015-06-18 | [
[
"Calkins",
"Mathew",
""
],
[
"Gates",
"D. E. A.",
""
],
[
"Gates,",
"S. J.",
"Jr."
],
[
"McPeak",
"B.",
""
]
] | We present evidence of the existence of a 1D, N = 16 SUSY hologram that can be used to understand representation theory aspects of a 4D, N = 4 supersymmetrical vector multiplet. In this context, the long-standing off-shell "SUSY problem" for the 4D, N = 4 Maxwell supermultiplet is precisely formulated as a problem in linear algebra. |
2301.06486 | Edvard Musaev | Kirill Gubarev, Edvard Musaev | Integrability structures in string theory | v2: refs added | null | 10.3367/UFNe.2023.06.039407 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This review is a collection of various methods and observations relevant to
structures in three-dimensional systems similar to those responsible for
integrability of two-dimensional systems. Particular focus is given to Nambu
structures and loop variables naturally appearing in membrane dynamics. While
reviewing each topic in more details we emphasize connections between them and
speculate on possible relations to membrane integrability.
| [
{
"created": "Mon, 16 Jan 2023 15:46:48 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Jan 2023 08:44:55 GMT",
"version": "v2"
}
] | 2023-07-28 | [
[
"Gubarev",
"Kirill",
""
],
[
"Musaev",
"Edvard",
""
]
] | This review is a collection of various methods and observations relevant to structures in three-dimensional systems similar to those responsible for integrability of two-dimensional systems. Particular focus is given to Nambu structures and loop variables naturally appearing in membrane dynamics. While reviewing each topic in more details we emphasize connections between them and speculate on possible relations to membrane integrability. |
1404.6254 | Ashoke Sen | Roji Pius, Arnab Rudra, Ashoke Sen | String Perturbation Theory Around Dynamically Shifted Vacuum | LaTeX file, 24 pages; v2: reference added | null | 10.1007/JHEP10(2014)070 | DAMTP-2014-27, HRI/ST1406 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In some string theories, e.g. SO(32) heterotic string theory on Calabi-Yau
manifolds, a massless field with a tree level potential can acquire a tachyonic
mass at the one loop level, forcing us to quantize the theory around a new
background that is not a solution to the classical equations of motion and
hence is not described by a conformally invariant world-sheet theory. We
describe a systematic procedure for carrying out string perturbation theory
around such backgrounds.
| [
{
"created": "Thu, 24 Apr 2014 20:00:13 GMT",
"version": "v1"
},
{
"created": "Wed, 7 May 2014 17:33:16 GMT",
"version": "v2"
}
] | 2015-06-19 | [
[
"Pius",
"Roji",
""
],
[
"Rudra",
"Arnab",
""
],
[
"Sen",
"Ashoke",
""
]
] | In some string theories, e.g. SO(32) heterotic string theory on Calabi-Yau manifolds, a massless field with a tree level potential can acquire a tachyonic mass at the one loop level, forcing us to quantize the theory around a new background that is not a solution to the classical equations of motion and hence is not described by a conformally invariant world-sheet theory. We describe a systematic procedure for carrying out string perturbation theory around such backgrounds. |
1511.09462 | Patricio Marcos Crichigno | Francesco Benini, Nikolay Bobev, and P. Marcos Crichigno | Two-dimensional SCFTs from D3-branes | 55 pages, 2 figures. v2: minor correction and some typos fixed | JHEP 1607 (2016) 020 | 10.1007/JHEP07(2016)020 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We find a large class of two-dimensional $\mathcal{N}=(0,2)$ SCFTs obtained
by compactifying four-dimensional $\mathcal{N}=1$ quiver gauge theories on a
Riemann surface. We study these theories using anomalies and $c$-extremization.
The gravitational duals to these fixed points are new AdS$_3$ solutions of IIB
supergravity which we exhibit explicitly. Along the way we uncover a universal
relation between the conformal anomaly coefficients of four-dimensional and
two-dimensional SCFTs connected by an RG flow across dimensions. We also
observe an interesting novel phenomenon in which the superconformal R-symmetry
mixes with baryonic symmetries along the RG flow.
| [
{
"created": "Mon, 30 Nov 2015 20:40:11 GMT",
"version": "v1"
},
{
"created": "Mon, 9 May 2016 15:49:24 GMT",
"version": "v2"
}
] | 2016-11-07 | [
[
"Benini",
"Francesco",
""
],
[
"Bobev",
"Nikolay",
""
],
[
"Crichigno",
"P. Marcos",
""
]
] | We find a large class of two-dimensional $\mathcal{N}=(0,2)$ SCFTs obtained by compactifying four-dimensional $\mathcal{N}=1$ quiver gauge theories on a Riemann surface. We study these theories using anomalies and $c$-extremization. The gravitational duals to these fixed points are new AdS$_3$ solutions of IIB supergravity which we exhibit explicitly. Along the way we uncover a universal relation between the conformal anomaly coefficients of four-dimensional and two-dimensional SCFTs connected by an RG flow across dimensions. We also observe an interesting novel phenomenon in which the superconformal R-symmetry mixes with baryonic symmetries along the RG flow. |
hep-th/9109034 | Charles Torre | C. G. Torre | A Deformation Theory of Self-Dual Einstein Spaces | 13 pages | Contemp.Math. 132 (1991) 611 | null | null | hep-th | null | The self-dual Einstein equations on a compact Riemannian 4-manifold can be
expressed as a quadratic condition on the curvature of an $SU(2)$ (spin)
connection which is a covariant generalization of the self-dual Yang-Mills
equations. Local properties of the moduli space of self-dual Einstein
connections are described in the context of an elliptic complex which arises in
the linearization of the quadratic equations on the $SU(2)$ curvature. In
particular, it is shown that the moduli space is discrete when the cosmological
constant is positive; when the cosmological constant is negative the moduli
space can be a manifold the dimension of which is controlled by the
Atiyah-Singer index theorem.
| [
{
"created": "Fri, 20 Sep 1991 03:02:00 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Torre",
"C. G.",
""
]
] | The self-dual Einstein equations on a compact Riemannian 4-manifold can be expressed as a quadratic condition on the curvature of an $SU(2)$ (spin) connection which is a covariant generalization of the self-dual Yang-Mills equations. Local properties of the moduli space of self-dual Einstein connections are described in the context of an elliptic complex which arises in the linearization of the quadratic equations on the $SU(2)$ curvature. In particular, it is shown that the moduli space is discrete when the cosmological constant is positive; when the cosmological constant is negative the moduli space can be a manifold the dimension of which is controlled by the Atiyah-Singer index theorem. |
hep-th/0204206 | Axel Krause | Axel Krause | Schwarzschild Black Holes from Brane-Antibrane Pairs | 26 pages, 2 figures, reference added | null | null | null | hep-th gr-qc | null | We show that D=4 Schwarzschild black holes can arise from a doublet of
Euclidean D3-antiD3 pairs embedded in D=10 Lorentzian spacetime. By starting
from a D=10 type IIB supergravity description for the D3-antiD3 pairs and
wrapping one of them over an external 2-sphere, we derive all vacuum solutions
compatible with the symmetry of the problem. Analysing under what condition a
Euclidean brane configuration embedded in a Lorentzian spacetime can lead to a
time-independent spacetime, enables us to single out the embedded D=4
Schwarzschild spacetime as the unique solution generated by the D3-antiD3
pairs. In particular we argue on account of energy-conservation that
time-independent solutions arising from isolated Euclidean branes require those
branes to sit at event horizons. In combination with previous work this
self-dual brane-antibrane origin of the black hole allows for a microscopic
counting of its Bekenstein-Hawking entropy. Finally we indicate how
Hawking-radiation can be understood from the associated tachyon condensation
process.
| [
{
"created": "Wed, 24 Apr 2002 14:41:34 GMT",
"version": "v1"
},
{
"created": "Tue, 7 May 2002 12:23:20 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Krause",
"Axel",
""
]
] | We show that D=4 Schwarzschild black holes can arise from a doublet of Euclidean D3-antiD3 pairs embedded in D=10 Lorentzian spacetime. By starting from a D=10 type IIB supergravity description for the D3-antiD3 pairs and wrapping one of them over an external 2-sphere, we derive all vacuum solutions compatible with the symmetry of the problem. Analysing under what condition a Euclidean brane configuration embedded in a Lorentzian spacetime can lead to a time-independent spacetime, enables us to single out the embedded D=4 Schwarzschild spacetime as the unique solution generated by the D3-antiD3 pairs. In particular we argue on account of energy-conservation that time-independent solutions arising from isolated Euclidean branes require those branes to sit at event horizons. In combination with previous work this self-dual brane-antibrane origin of the black hole allows for a microscopic counting of its Bekenstein-Hawking entropy. Finally we indicate how Hawking-radiation can be understood from the associated tachyon condensation process. |
1306.2648 | Alexander Protogenov | Alexander P. Protogenov, Evgueni V. Chulkov, and Jeffrey C. Y. Teo | Topological phase states of the SU(3) QCD | LATEX2e, 5 pages | null | 10.1088/1742-6596/482/1/012035 | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the topologically nontrivial phase states and the corresponding
topological defects in the SU(3) d-dimensional quantum chromodynamics (QCD).
The homotopy groups for topological classes of such defects are calculated
explicitly. We have shown that the three nontrivial groups are pi_3 SU(3)=Z,
pi_5 SU(3)=Z, and pi_6 SU(3)=Z_6 if 3 < d < 6. The latter result means that we
are dealing exactly with six topologically different phase states. The
topological invariants for d=3,5,6 are described in detail.
| [
{
"created": "Tue, 11 Jun 2013 20:16:41 GMT",
"version": "v1"
}
] | 2015-06-16 | [
[
"Protogenov",
"Alexander P.",
""
],
[
"Chulkov",
"Evgueni V.",
""
],
[
"Teo",
"Jeffrey C. Y.",
""
]
] | We consider the topologically nontrivial phase states and the corresponding topological defects in the SU(3) d-dimensional quantum chromodynamics (QCD). The homotopy groups for topological classes of such defects are calculated explicitly. We have shown that the three nontrivial groups are pi_3 SU(3)=Z, pi_5 SU(3)=Z, and pi_6 SU(3)=Z_6 if 3 < d < 6. The latter result means that we are dealing exactly with six topologically different phase states. The topological invariants for d=3,5,6 are described in detail. |
hep-th/0603195 | Fuchs Ehud | Ehud Fuchs and Michael Kroyter | On the validity of the solution of string field theory | JHEP style, 9+1 pages. Typos corrected | JHEP0605:006,2006 | 10.1088/1126-6708/2006/05/006 | AEI-2006-017 | hep-th | null | We analyze the realm of validity of the recently found tachyon solution of
cubic string field theory. We find that the equation of motion holds in a non
trivial way when this solution is contracted with itself. This calculation is
needed to conclude the proof of Sen's first conjecture. We also find that the
equation of motion holds when the tachyon or gauge solutions are contracted
among themselves.
| [
{
"created": "Fri, 24 Mar 2006 20:09:12 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Apr 2006 18:20:49 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Fuchs",
"Ehud",
""
],
[
"Kroyter",
"Michael",
""
]
] | We analyze the realm of validity of the recently found tachyon solution of cubic string field theory. We find that the equation of motion holds in a non trivial way when this solution is contracted with itself. This calculation is needed to conclude the proof of Sen's first conjecture. We also find that the equation of motion holds when the tachyon or gauge solutions are contracted among themselves. |
2007.10358 | Mariana Grana | Anamar\'ia Font, Bernardo Fraiman, Mariana Gra\~na, Carmen A.
N\'u\~nez and H\'ector Parra De Freitas | Exploring the landscape of heterotic strings on T^d | 97 pages. v2: references added | null | 10.1007/JHEP10(2020)194 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Compactifications of the heterotic string on T^d are the simplest, yet rich
enough playgrounds to uncover swampland ideas: the U(1)^{d+16} left-moving
gauge symmetry gets enhanced at special points in moduli space only to certain
groups. We state criteria, based on lattice embedding techniques, to establish
whether a gauge group is realized or not. For generic d, we further show how to
obtain the moduli that lead to a given gauge group by modifying the method of
deleting nodes in the extended Dynkin diagram of the Narain lattice II_{1,17}.
More general algorithms to explore the moduli space are also developed. For d=1
and 2 we list all the maximally enhanced gauge groups, moduli, and other
relevant information about the embedding in II_{d,d+16}. In agreement with the
duality between heterotic on T^2 and F-theory on K3, all possible gauge groups
on T^2 match all possible ADE types of singular fibers of elliptic K3 surfaces.
We also present a simple method to transform the moduli under the duality
group, and we build the map that relates the charge lattices and moduli of the
compactification of the E_8 x E_8 and Spin(32)/Z_2 heterotic theories.
| [
{
"created": "Mon, 20 Jul 2020 18:00:04 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Sep 2020 06:36:00 GMT",
"version": "v2"
}
] | 2020-12-02 | [
[
"Font",
"Anamaría",
""
],
[
"Fraiman",
"Bernardo",
""
],
[
"Graña",
"Mariana",
""
],
[
"Núñez",
"Carmen A.",
""
],
[
"De Freitas",
"Héctor Parra",
""
]
] | Compactifications of the heterotic string on T^d are the simplest, yet rich enough playgrounds to uncover swampland ideas: the U(1)^{d+16} left-moving gauge symmetry gets enhanced at special points in moduli space only to certain groups. We state criteria, based on lattice embedding techniques, to establish whether a gauge group is realized or not. For generic d, we further show how to obtain the moduli that lead to a given gauge group by modifying the method of deleting nodes in the extended Dynkin diagram of the Narain lattice II_{1,17}. More general algorithms to explore the moduli space are also developed. For d=1 and 2 we list all the maximally enhanced gauge groups, moduli, and other relevant information about the embedding in II_{d,d+16}. In agreement with the duality between heterotic on T^2 and F-theory on K3, all possible gauge groups on T^2 match all possible ADE types of singular fibers of elliptic K3 surfaces. We also present a simple method to transform the moduli under the duality group, and we build the map that relates the charge lattices and moduli of the compactification of the E_8 x E_8 and Spin(32)/Z_2 heterotic theories. |
hep-th/0507253 | Djordje Minic | Laurent Freidel, Djordje Minic and Tatsu Takeuchi | Quantum Gravity, Torsion, Parity Violation and all that | 11 pages, LaTeX; (two footnotes, acknowledgements and references
added, typos corrected) | Phys.Rev.D72:104002,2005 | 10.1103/PhysRevD.72.104002 | VPI-IPPAP-05-02 | hep-th gr-qc hep-ph | null | We discuss the issue of parity violation in quantum gravity. In particular,
we study the coupling of fermionic degrees of freedom in the presence of
torsion and the physical meaning of the Immirzi parameter from the viewpoint of
effective field theory. We derive the low-energy effective lagrangian which
turns out to involve two parameters, one measuring the non-minimal coupling of
fermions in the presence of torsion, the other being the Immirzi parameter. In
the case of non-minimal coupling the effective lagrangian contains an
axial-vector interaction leading to parity violation. Alternatively, in the
case of minimal coupling there is no parity violation and the effective
lagrangian contains only the usual axial-axial interaction. In this situation
the real values of the Immirzi parameter are not at all constrained. On the
other hand, purely imaginary values of the Immirzi parameter lead to violations
of unitarity for the case of non-minimal coupling. Finally, the effective
lagrangian blows up for the positive and negative unit imaginary values of the
Immirzi parameter.
| [
{
"created": "Tue, 26 Jul 2005 16:26:36 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Sep 2005 15:40:17 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Freidel",
"Laurent",
""
],
[
"Minic",
"Djordje",
""
],
[
"Takeuchi",
"Tatsu",
""
]
] | We discuss the issue of parity violation in quantum gravity. In particular, we study the coupling of fermionic degrees of freedom in the presence of torsion and the physical meaning of the Immirzi parameter from the viewpoint of effective field theory. We derive the low-energy effective lagrangian which turns out to involve two parameters, one measuring the non-minimal coupling of fermions in the presence of torsion, the other being the Immirzi parameter. In the case of non-minimal coupling the effective lagrangian contains an axial-vector interaction leading to parity violation. Alternatively, in the case of minimal coupling there is no parity violation and the effective lagrangian contains only the usual axial-axial interaction. In this situation the real values of the Immirzi parameter are not at all constrained. On the other hand, purely imaginary values of the Immirzi parameter lead to violations of unitarity for the case of non-minimal coupling. Finally, the effective lagrangian blows up for the positive and negative unit imaginary values of the Immirzi parameter. |
hep-th/9405178 | Domenico Giulini | Domenico Giulini | Induced Connections in Field Theory: The Odd-Dimensional Yang-Mills Case | 16 pages Plain-TeX, Freiburg THEP-94/12 | null | 10.1142/S0217751X95000498 | null | hep-th gr-qc | null | We consider $SU(N)$ Yang-Mills theories in $(2n+1)$-dimensional Euclidean
spacetime, where $N\geq n+1$, coupled to an even flavour number of Dirac
fermions. After integration over the fermionic degrees of freedom the wave
functional for the gauge field inherits a non-trivial $U(1)$-connection which
we compute in the limit of infinite fermion mass. Its Chern-class turns out to
be just half the flavour number so that the wave functional now becomes a
section in a non-trivial complex line bundle. The topological origin of this
phenomenon is explained in both the Lagrangean and the Hamiltonian picture.
| [
{
"created": "Fri, 27 May 1994 09:31:33 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Giulini",
"Domenico",
""
]
] | We consider $SU(N)$ Yang-Mills theories in $(2n+1)$-dimensional Euclidean spacetime, where $N\geq n+1$, coupled to an even flavour number of Dirac fermions. After integration over the fermionic degrees of freedom the wave functional for the gauge field inherits a non-trivial $U(1)$-connection which we compute in the limit of infinite fermion mass. Its Chern-class turns out to be just half the flavour number so that the wave functional now becomes a section in a non-trivial complex line bundle. The topological origin of this phenomenon is explained in both the Lagrangean and the Hamiltonian picture. |
1609.09120 | Tiago Mariz | J. F. Assuncao, T. Mariz, A. Yu. Petrov | Nonanalyticity of the induced Carroll-Field-Jackiw term at finite
temperature | 12 pages, 1 figure | null | 10.1209/0295-5075/116/31003 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we discuss the behavior of the Carroll-Field-Jackiw (CFJ)
coefficient $k^{\mu}$ arising due to integration over massive fermions, and the
modification suffered by its topological structure in the finite temperature
case. Our study is based on the imaginary time formalism and summation over the
Matsubara frequencies. We demonstrate that the self-energy of photon is
non-analytic for the small $k^{\mu}$ limit, i.e., the static limit $(k_0=0,\vec
k\rightarrow 0)$ and the long wavelength limit $(k_0\rightarrow 0,\vec k= 0)$
do not commute, while the tensorial structure of the CFJ term holds in both
limits.
| [
{
"created": "Wed, 28 Sep 2016 21:15:00 GMT",
"version": "v1"
}
] | 2017-01-04 | [
[
"Assuncao",
"J. F.",
""
],
[
"Mariz",
"T.",
""
],
[
"Petrov",
"A. Yu.",
""
]
] | In this paper, we discuss the behavior of the Carroll-Field-Jackiw (CFJ) coefficient $k^{\mu}$ arising due to integration over massive fermions, and the modification suffered by its topological structure in the finite temperature case. Our study is based on the imaginary time formalism and summation over the Matsubara frequencies. We demonstrate that the self-energy of photon is non-analytic for the small $k^{\mu}$ limit, i.e., the static limit $(k_0=0,\vec k\rightarrow 0)$ and the long wavelength limit $(k_0\rightarrow 0,\vec k= 0)$ do not commute, while the tensorial structure of the CFJ term holds in both limits. |
hep-th/9507113 | Gabriel Cardoso | Gabriel Lopes Cardoso, Dieter L\"ust and Thomas Mohaupt | Non-perturbative monodromies in N=2 heterotic string vacua | 41 pages, Latex (minor changes in text and note added) | Nucl.Phys.B455:131-164,1995 | 10.1016/0550-3213(95)00482-8 | HUB-IEP-95/12 | hep-th | null | We address non-perturbative effects and duality symmetries in $N=2$ heterotic
string theories in four dimensions. Specifically, we consider how each of the
four lines of enhanced gauge symmetries in the perturbative moduli space of
$N=2$ $T_2$ compactifications is split into 2 lines where monopoles and dyons
become massless. This amounts to considering non-perturbative effects
originating from enhanced gauge symmetries at the microscopic string level. We
show that the perturbative and non-perturbative monodromies consistently lead
to the results of Seiberg-Witten upon identication of a consistent truncation
procedure from local to rigid $N=2$ supersymmetry.
| [
{
"created": "Fri, 21 Jul 1995 13:24:18 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Sep 1995 17:25:34 GMT",
"version": "v2"
}
] | 2016-08-15 | [
[
"Cardoso",
"Gabriel Lopes",
""
],
[
"Lüst",
"Dieter",
""
],
[
"Mohaupt",
"Thomas",
""
]
] | We address non-perturbative effects and duality symmetries in $N=2$ heterotic string theories in four dimensions. Specifically, we consider how each of the four lines of enhanced gauge symmetries in the perturbative moduli space of $N=2$ $T_2$ compactifications is split into 2 lines where monopoles and dyons become massless. This amounts to considering non-perturbative effects originating from enhanced gauge symmetries at the microscopic string level. We show that the perturbative and non-perturbative monodromies consistently lead to the results of Seiberg-Witten upon identication of a consistent truncation procedure from local to rigid $N=2$ supersymmetry. |
hep-th/9912100 | Sheikh-Jabbari Mohammad | D. Polyakov, M.M. Sheikh-Jabbari | Closed String Brane-Like States, Brane Bound States and Noncommutative
Branes | 13 pages, Latex File, v2: some misprints corrected, and a paragraph
added to section 3, v3: minor changes, typos corrected | Phys.Lett.B484:133-140,2000 | 10.1016/S0370-2693(00)00580-3 | IC/99/190 | hep-th | null | We study the mass and different RR charge distributions of the BPS
(p,p-2)-brane bound states in the closed string brane-like $\sigma$-model. We
show that such brane bound states can be realized by introducing a constant B
field in the closed string theory. In addition we show that the worldvolume
coordinates of these brane bound states turn out to be noncommutative.
| [
{
"created": "Mon, 13 Dec 1999 13:51:17 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Dec 1999 13:28:44 GMT",
"version": "v2"
},
{
"created": "Fri, 17 Dec 1999 14:38:43 GMT",
"version": "v3"
}
] | 2009-10-07 | [
[
"Polyakov",
"D.",
""
],
[
"Sheikh-Jabbari",
"M. M.",
""
]
] | We study the mass and different RR charge distributions of the BPS (p,p-2)-brane bound states in the closed string brane-like $\sigma$-model. We show that such brane bound states can be realized by introducing a constant B field in the closed string theory. In addition we show that the worldvolume coordinates of these brane bound states turn out to be noncommutative. |
hep-th/0611267 | Shahin Mamedov | Sh. Mamedov | Diagonalization of the Hamiltonian in a Chromomagnetic Field | 9 pages | null | null | null | hep-th | null | We demonstrate how to find both the color diagonal form of the squared Dirac
equation in the axial color background and the transformation of the color
space, which makes this equation diagonal.
| [
{
"created": "Fri, 24 Nov 2006 15:23:46 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Mamedov",
"Sh.",
""
]
] | We demonstrate how to find both the color diagonal form of the squared Dirac equation in the axial color background and the transformation of the color space, which makes this equation diagonal. |
2309.02489 | Sylvain Fichet | Sylvain Fichet, Eugenio Megias, Mariano Quiros | Holography of Linear Dilaton Spacetimes from the Bottom Up | 40+11 pages, 3 figures | Phys. Rev. D 109, 106011 (2024) | 10.1103/PhysRevD.109.106011 | null | hep-th gr-qc hep-ph | http://creativecommons.org/licenses/by/4.0/ | The linear dilaton background is the keystone of a string-derived holographic
correspondence beyond AdS$_{d+1}$/CFT$_d$. This motivates an exploration of the
$(d+1)$-dimensional linear dilaton spacetime (LD$_{d+1}$) and its holographic
properties from the low-energy viewpoint. We first notice that the LD$_{d+1}$
space has simple conformal symmetries, that we use to shape an effective field
theory (EFT) on the LD background. We then place a brane in the background to
study holography at the level of quantum fields and gravity. We find that the
holographic correlators from the EFT feature a pattern of singularities at
certain kinematic thresholds. We argue that such singularities can be used to
bootstrap the putative $d$-dimensional dual theory using techniques analogous
to those of the Cosmological Bootstrap program. Turning on finite temperature,
we study the holographic fluid emerging on the brane in the presence of a bulk
black hole. We find that the holographic fluid is pressureless for any $d$ due
to a cancellation between Weyl curvature and dilaton stress tensor, and verify
consistency with the time evolution of the theory. From the fluid
thermodynamics, we find a universal temperature and Hagedorn behavior for any
$d$. This matches the properties of a CFT$_2$ with large $T\overline T$
deformation, and of little string theory for $d=6$. Both the fluid equation of
state and the spectrum of quantum fluctuations suggest that the $d$-dimensional
dual theory arising from LD$_{d+1}$ is generically gapped.
| [
{
"created": "Tue, 5 Sep 2023 18:00:00 GMT",
"version": "v1"
},
{
"created": "Thu, 16 May 2024 19:34:25 GMT",
"version": "v2"
}
] | 2024-05-20 | [
[
"Fichet",
"Sylvain",
""
],
[
"Megias",
"Eugenio",
""
],
[
"Quiros",
"Mariano",
""
]
] | The linear dilaton background is the keystone of a string-derived holographic correspondence beyond AdS$_{d+1}$/CFT$_d$. This motivates an exploration of the $(d+1)$-dimensional linear dilaton spacetime (LD$_{d+1}$) and its holographic properties from the low-energy viewpoint. We first notice that the LD$_{d+1}$ space has simple conformal symmetries, that we use to shape an effective field theory (EFT) on the LD background. We then place a brane in the background to study holography at the level of quantum fields and gravity. We find that the holographic correlators from the EFT feature a pattern of singularities at certain kinematic thresholds. We argue that such singularities can be used to bootstrap the putative $d$-dimensional dual theory using techniques analogous to those of the Cosmological Bootstrap program. Turning on finite temperature, we study the holographic fluid emerging on the brane in the presence of a bulk black hole. We find that the holographic fluid is pressureless for any $d$ due to a cancellation between Weyl curvature and dilaton stress tensor, and verify consistency with the time evolution of the theory. From the fluid thermodynamics, we find a universal temperature and Hagedorn behavior for any $d$. This matches the properties of a CFT$_2$ with large $T\overline T$ deformation, and of little string theory for $d=6$. Both the fluid equation of state and the spectrum of quantum fluctuations suggest that the $d$-dimensional dual theory arising from LD$_{d+1}$ is generically gapped. |
1312.1163 | Burkhard Eden | Raquel G. Ambrosio, Burkhard Eden, Timothy Goddard, Paul Heslop and
Charles Taylor | Local integrands for the five-point amplitude in planar N=4 SYM up to
five loops | 29 pages LaTeX, 8 figures | null | null | HU-Mathematik: 2013-23, HU-EP-13/75, DCPT-13/49 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Integrands for colour ordered scattering amplitudes in planar N=4 SYM are
dual to those of correlation functions of the energy-momentum multiplet of the
theory. The construction can relate amplitudes with different numbers of legs.
By graph theory methods the integrand of the four-point function of
energy-momentum multiplets has been constructed up to six loops in previous
work. In this article we extend this analysis to seven loops and use it to
construct the full integrand of the five-point amplitude up to five loops, and
in the parity even sector to six loops.
All results, both parity even and parity odd, are obtained in a concise local
form in dual momentum space and can be displayed efficiently through graphs. We
have verified agreement with other local formulae both in terms of
supertwistors and scalar momentum integrals as well as BCJ forms where those
exist in the literature, i.e. up to three loops.
Finally we note that the four-point correlation function can be extracted
directly from the four-point amplitude and so this uncovers a direct link from
four- to five-point amplitudes.
| [
{
"created": "Wed, 4 Dec 2013 13:54:50 GMT",
"version": "v1"
}
] | 2013-12-05 | [
[
"Ambrosio",
"Raquel G.",
""
],
[
"Eden",
"Burkhard",
""
],
[
"Goddard",
"Timothy",
""
],
[
"Heslop",
"Paul",
""
],
[
"Taylor",
"Charles",
""
]
] | Integrands for colour ordered scattering amplitudes in planar N=4 SYM are dual to those of correlation functions of the energy-momentum multiplet of the theory. The construction can relate amplitudes with different numbers of legs. By graph theory methods the integrand of the four-point function of energy-momentum multiplets has been constructed up to six loops in previous work. In this article we extend this analysis to seven loops and use it to construct the full integrand of the five-point amplitude up to five loops, and in the parity even sector to six loops. All results, both parity even and parity odd, are obtained in a concise local form in dual momentum space and can be displayed efficiently through graphs. We have verified agreement with other local formulae both in terms of supertwistors and scalar momentum integrals as well as BCJ forms where those exist in the literature, i.e. up to three loops. Finally we note that the four-point correlation function can be extracted directly from the four-point amplitude and so this uncovers a direct link from four- to five-point amplitudes. |
1406.1802 | Kazuo Hosomichi | Kazuo Hosomichi and Sungjay Lee | Self-dual Strings and 2D SYM | 1+38 pages, minor modifications, references added | null | 10.1007/JHEP01(2015)076 | EFI-14-11, YITP-14-43 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the system of M2-branes suspended between parallel M5-branes using
ABJM model with a natural half-BPS boundary condition. For small separation
between M5-branes, the worldvolume theory is shown to reduce to a 2D N=(4,4)
super Yang-Mills theory with some similarity to q-deformed Yang-Mills theory.
The gauge coupling is related to the position of the branes in an interesting
manner. The theory is considerably different from the 2D theory proposed for
multiple "M-strings". We make a detailed comparison of elliptic genus of the
two descriptions and find only a partial agreement.
| [
{
"created": "Fri, 6 Jun 2014 20:00:13 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Nov 2014 08:09:19 GMT",
"version": "v2"
}
] | 2015-06-19 | [
[
"Hosomichi",
"Kazuo",
""
],
[
"Lee",
"Sungjay",
""
]
] | We study the system of M2-branes suspended between parallel M5-branes using ABJM model with a natural half-BPS boundary condition. For small separation between M5-branes, the worldvolume theory is shown to reduce to a 2D N=(4,4) super Yang-Mills theory with some similarity to q-deformed Yang-Mills theory. The gauge coupling is related to the position of the branes in an interesting manner. The theory is considerably different from the 2D theory proposed for multiple "M-strings". We make a detailed comparison of elliptic genus of the two descriptions and find only a partial agreement. |
1607.07347 | Sergey Pavluchenko A. | Sergey A. Pavluchenko | Cosmological dynamics of spatially flat Einstein-Gauss-Bonnet models in
various dimensions: Low-dimensional $\Lambda$-term case | 38 pages, 11 figures, 5 tables | Phys. Rev. D 94, 084019 (2016) | 10.1103/PhysRevD.94.084019 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we perform a systematic study of spatially flat
[(3+D)+1]-dimensional Einstein-Gauss-Bonnet cosmological models with
$\Lambda$-term. We consider models that topologically are the product of two
flat isotropic subspaces with different scale factors. One of these subspaces
is three-dimensional and represents our space and the other is D-dimensional
and represents extra dimensions. We consider no {\it Ansatz} on the scale
factors, which makes our results quite general. With both Einstein-Hilbert and
Gauss-Bonnet contributions in play, the cases with $D=1$ and $D=2$ have
different dynamics due to the different structure of the equations of motion.
We analytically study equations of motion in both cases and describe all
possible regimes. It is demonstrated that $D=1$ case does not have physically
viable regimes while $D=2$ has smooth transition from high-energy Kasner to
anisotropic exponential regime. This transition occurs for two ranges of
$\alpha$ and $\Lambda$: $\alpha > 0$, $\Lambda > 0$ with $\alpha \Lambda
\leqslant 1/2$ and $\alpha < 0$, $\Lambda > 0$ with $\alpha\Lambda < -3/2$. For
the latter case if $\alpha\Lambda = -3/2$, extra dimensional part has $h\to 0$
and so the size of extra dimensions (in the sense of the scale factor) is
reaching constant value. We report substantial differences between $D=1$ and
$D=2$ cases and between these cases and their vacuum counterparts, describe
features of the cases under study and discuss the origin of the differences.
| [
{
"created": "Mon, 25 Jul 2016 16:25:26 GMT",
"version": "v1"
},
{
"created": "Sun, 31 Jul 2016 18:02:51 GMT",
"version": "v2"
}
] | 2016-10-19 | [
[
"Pavluchenko",
"Sergey A.",
""
]
] | In this paper we perform a systematic study of spatially flat [(3+D)+1]-dimensional Einstein-Gauss-Bonnet cosmological models with $\Lambda$-term. We consider models that topologically are the product of two flat isotropic subspaces with different scale factors. One of these subspaces is three-dimensional and represents our space and the other is D-dimensional and represents extra dimensions. We consider no {\it Ansatz} on the scale factors, which makes our results quite general. With both Einstein-Hilbert and Gauss-Bonnet contributions in play, the cases with $D=1$ and $D=2$ have different dynamics due to the different structure of the equations of motion. We analytically study equations of motion in both cases and describe all possible regimes. It is demonstrated that $D=1$ case does not have physically viable regimes while $D=2$ has smooth transition from high-energy Kasner to anisotropic exponential regime. This transition occurs for two ranges of $\alpha$ and $\Lambda$: $\alpha > 0$, $\Lambda > 0$ with $\alpha \Lambda \leqslant 1/2$ and $\alpha < 0$, $\Lambda > 0$ with $\alpha\Lambda < -3/2$. For the latter case if $\alpha\Lambda = -3/2$, extra dimensional part has $h\to 0$ and so the size of extra dimensions (in the sense of the scale factor) is reaching constant value. We report substantial differences between $D=1$ and $D=2$ cases and between these cases and their vacuum counterparts, describe features of the cases under study and discuss the origin of the differences. |
2105.10496 | Matthias R. Gaberdiel | Matthias R. Gaberdiel and Rajesh Gopakumar | The Worldsheet Dual of Free Super Yang-Mills in 4D | 50 pages | null | 10.1007/JHEP11(2021)129 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | The worldsheet string theory dual to free 4d ${\cal N}=4$ super Yang-Mills
theory was recently proposed in arXiv:2104.08263. It is described by a free
field sigma model on the twistor space of ${\rm AdS}_5\times {\rm S}^5$, and is
a direct generalisation of the corresponding model for tensionless string
theory on ${\rm AdS}_3\times {\rm S}^3$. As in the case of ${\rm AdS}_3$, the
worldsheet theory contains spectrally flowed representations. We proposed in
arXiv:2104.08263 that in each such sector only a finite set of generalised zero
modes (`wedge modes') are physical. Here we show that after imposing the
appropriate residual gauge conditions, this worldsheet description reproduces
precisely the spectrum of the planar gauge theory. More specifically, the
states in the sector with $w$ units of spectral flow match with single trace
operators built out of $w$ super Yang-Mills fields (`letters'). The resulting
physical picture is a covariant version of the BMN light-cone string, now with
a finite number of twistorial string bit constituents of an essentially
topological worldsheet.
| [
{
"created": "Fri, 21 May 2021 17:58:43 GMT",
"version": "v1"
}
] | 2021-12-08 | [
[
"Gaberdiel",
"Matthias R.",
""
],
[
"Gopakumar",
"Rajesh",
""
]
] | The worldsheet string theory dual to free 4d ${\cal N}=4$ super Yang-Mills theory was recently proposed in arXiv:2104.08263. It is described by a free field sigma model on the twistor space of ${\rm AdS}_5\times {\rm S}^5$, and is a direct generalisation of the corresponding model for tensionless string theory on ${\rm AdS}_3\times {\rm S}^3$. As in the case of ${\rm AdS}_3$, the worldsheet theory contains spectrally flowed representations. We proposed in arXiv:2104.08263 that in each such sector only a finite set of generalised zero modes (`wedge modes') are physical. Here we show that after imposing the appropriate residual gauge conditions, this worldsheet description reproduces precisely the spectrum of the planar gauge theory. More specifically, the states in the sector with $w$ units of spectral flow match with single trace operators built out of $w$ super Yang-Mills fields (`letters'). The resulting physical picture is a covariant version of the BMN light-cone string, now with a finite number of twistorial string bit constituents of an essentially topological worldsheet. |
hep-th/9910055 | Pierre Vanhove | Michael B. Green, Hwang-h. Kwon and Pierre Vanhove (DAMTP, UK) | Two loops in eleven dimensions | harvmac (b), 36 pages, 4 eps figures. v2 : Minor changes. v3 : Minor
corrections | Phys.Rev.D61:104010,2000 | 10.1103/PhysRevD.61.104010 | DAMTP-99-120, CERN-TH/99-283, SPHT-T99/100 | hep-th | null | The two-loop Feynman diagram contribution to the four-graviton amplitude of
eleven-dimensional supergravity compactified on a two-torus, T^2, is analyzed
in detail. The Schwinger parameter integrations are re-expressed as integration
over the moduli space of a second torus, \hat T^2, which enables the leading
low-momentum contribution to be evaluated in terms of maps of \hat T^2 into
T^2. The ultraviolet divergences associated with boundaries of moduli space are
regularized in a manner that is consistent with the expected duality symmetries
of string theory. This leads to an exact expression for terms of order D^4 R^4
in the effective M theory action (where R^4 denotes a contraction of four Weyl
tensors), thereby extending earlier results for the R^4 term that were based on
the one-loop eleven-dimensional amplitude. Precise agreement is found with
terms in type IIA and IIB superstring theory that arise from the low energy
expansion of the tree-level and one-loop string amplitudes and predictions are
made for the coefficients of certain two-loop string theory terms as well as
for an infinite set of D-instanton contributions. The contribution at the next
order in the derivative expansion, D^6 R^4, is problematic, which may indicate
that it mixes with higher-loop effects in eleven-dimensional supergravity.
| [
{
"created": "Wed, 6 Oct 1999 21:12:08 GMT",
"version": "v1"
},
{
"created": "Sat, 13 Nov 1999 13:15:55 GMT",
"version": "v2"
},
{
"created": "Mon, 19 Sep 2005 10:39:33 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Green",
"Michael B.",
"",
"DAMTP, UK"
],
[
"Kwon",
"Hwang-h.",
"",
"DAMTP, UK"
],
[
"Vanhove",
"Pierre",
"",
"DAMTP, UK"
]
] | The two-loop Feynman diagram contribution to the four-graviton amplitude of eleven-dimensional supergravity compactified on a two-torus, T^2, is analyzed in detail. The Schwinger parameter integrations are re-expressed as integration over the moduli space of a second torus, \hat T^2, which enables the leading low-momentum contribution to be evaluated in terms of maps of \hat T^2 into T^2. The ultraviolet divergences associated with boundaries of moduli space are regularized in a manner that is consistent with the expected duality symmetries of string theory. This leads to an exact expression for terms of order D^4 R^4 in the effective M theory action (where R^4 denotes a contraction of four Weyl tensors), thereby extending earlier results for the R^4 term that were based on the one-loop eleven-dimensional amplitude. Precise agreement is found with terms in type IIA and IIB superstring theory that arise from the low energy expansion of the tree-level and one-loop string amplitudes and predictions are made for the coefficients of certain two-loop string theory terms as well as for an infinite set of D-instanton contributions. The contribution at the next order in the derivative expansion, D^6 R^4, is problematic, which may indicate that it mixes with higher-loop effects in eleven-dimensional supergravity. |
hep-th/0312179 | Leszek Hadasz | Adam Bzdak and Leszek Hadasz | The square root of the Dirac operator on the superspace and the Maxwell
equations | 6 pages, Latex, to appear in Physics Letters B | Phys.Lett. B582 (2004) 113-116 | 10.1016/j.physletb.2003.12.032 | TPJU-12/03 | hep-th | null | We re-consider the procedure of ``taking a square root of the Dirac
equation'' on the superspace and show that it leads to the well known
superfield W_\alpha and to the proper equations of motion for the components,
i.e. the Maxwell equations and the massless Dirac equation.
| [
{
"created": "Tue, 16 Dec 2003 09:56:17 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Bzdak",
"Adam",
""
],
[
"Hadasz",
"Leszek",
""
]
] | We re-consider the procedure of ``taking a square root of the Dirac equation'' on the superspace and show that it leads to the well known superfield W_\alpha and to the proper equations of motion for the components, i.e. the Maxwell equations and the massless Dirac equation. |
1009.0175 | Jarah Evslin | Jarah Evslin and Giovanni Ricco | The Surface Layers Dual to Hydrodynamic Boundaries | 28 pages, 1 eps figure | Nucl.Phys.B845:190-211,2011 | 10.1016/j.nuclphysb.2010.12.004 | IFUP-TH/2010-27 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The AdS/hydrodynamics correspondence provides a 1-1 map between large
wavelength features of AdS black branes and conformal fluid flows. In this note
we consider boundaries between nonrelativistic flows, applying the usual
boundary conditions for viscous fluids. We find that a naive application of the
correspondence to these boundaries yields a surface layer in the gravity theory
whose stress tensor is not equal to that given by the Israel matching
conditions. In particular, while neither stress tensor satisfies the null
energy condition and both have nonvanishing momentum, only Israel's tensor has
stress. The disagreement arises entirely from corrections to the metric due to
multiple derivatives of the flow velocity, which violate Israel's finiteness
assumption in the thin wall limit.
| [
{
"created": "Wed, 1 Sep 2010 13:14:56 GMT",
"version": "v1"
}
] | 2011-01-17 | [
[
"Evslin",
"Jarah",
""
],
[
"Ricco",
"Giovanni",
""
]
] | The AdS/hydrodynamics correspondence provides a 1-1 map between large wavelength features of AdS black branes and conformal fluid flows. In this note we consider boundaries between nonrelativistic flows, applying the usual boundary conditions for viscous fluids. We find that a naive application of the correspondence to these boundaries yields a surface layer in the gravity theory whose stress tensor is not equal to that given by the Israel matching conditions. In particular, while neither stress tensor satisfies the null energy condition and both have nonvanishing momentum, only Israel's tensor has stress. The disagreement arises entirely from corrections to the metric due to multiple derivatives of the flow velocity, which violate Israel's finiteness assumption in the thin wall limit. |
1808.07946 | Sylvester Gates Jr. | S. J. Gates, Jr., and S.-N. Hazel Mak | Examples of 4D, N = 2 Holoraumy | LaTeX twice, 6 figures, 2 tables, 45 ppg | null | 10.1142/S0217751X19500817 | Brown Univ. Preprint HET-1770 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide an introduction to the concepts of holoraumy tensors, Lorentz
covariant four-dimensional "Gadgets", and Gadget angles within the context of
4D N = 2 supermultiplets. This is followed by the calculation of the holoraumy
tensors, Gadgets, and Gadget angles for minimal off-shell supermultiplets. Four
tetrahedrons in four 3D subspaces of the Holoraumy lattice space are found.
| [
{
"created": "Thu, 23 Aug 2018 21:02:36 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Aug 2018 02:22:08 GMT",
"version": "v2"
}
] | 2019-07-24 | [
[
"Gates,",
"S. J.",
"Jr."
],
[
"Mak",
"S. -N. Hazel",
""
]
] | We provide an introduction to the concepts of holoraumy tensors, Lorentz covariant four-dimensional "Gadgets", and Gadget angles within the context of 4D N = 2 supermultiplets. This is followed by the calculation of the holoraumy tensors, Gadgets, and Gadget angles for minimal off-shell supermultiplets. Four tetrahedrons in four 3D subspaces of the Holoraumy lattice space are found. |
hep-th/9301099 | null | H. Lu, C.N. Pope, S. Schrans and X.J. Wang | On the Spectrum and Scattering of W_3 Strings | 37 pages. CPT TAMU-4/93, Preprint-KUL-TF-93/2. (Note Added,
clarifying issues raised in preprint KCL-TH-93-2, hep-th/9302114.) | Nucl.Phys.B408:3-42,1993 | 10.1016/0550-3213(93)90131-8 | null | hep-th | null | We present a detailed investigation of scattering processes in $W_3$ string
theory. We discover further physical states with continuous momentum, which
involve excitations of the ghosts as well as the matter, and use them to gain a
better understanding of the interacting theory. The scattering amplitudes
display factorisation properties, with states from the different sectors of the
theory being exchanged in the various intermediate channels. We find strong
evidence for the unitarity of the theory, despite the unusual ghost structure
of some of the physical states. Finally, we show that by performing a
transformation of the quantum fields that involves mixing the ghost fields with
one of the matter fields, the structure of the physical states is dramatically
simplified. The new formalism provides a concise framework within which to
study the $W_3$ string.
| [
{
"created": "Mon, 25 Jan 1993 04:12:54 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Feb 1993 03:12:23 GMT",
"version": "v2"
},
{
"created": "Fri, 26 Feb 1993 20:56:44 GMT",
"version": "v3"
}
] | 2009-10-07 | [
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
],
[
"Schrans",
"S.",
""
],
[
"Wang",
"X. J.",
""
]
] | We present a detailed investigation of scattering processes in $W_3$ string theory. We discover further physical states with continuous momentum, which involve excitations of the ghosts as well as the matter, and use them to gain a better understanding of the interacting theory. The scattering amplitudes display factorisation properties, with states from the different sectors of the theory being exchanged in the various intermediate channels. We find strong evidence for the unitarity of the theory, despite the unusual ghost structure of some of the physical states. Finally, we show that by performing a transformation of the quantum fields that involves mixing the ghost fields with one of the matter fields, the structure of the physical states is dramatically simplified. The new formalism provides a concise framework within which to study the $W_3$ string. |
1605.02413 | Sinya Aoki | Sinya Aoki, Janos Balog, Tetsuya Onogi, and Peter Weisz | Flow equation for the large $N$ scalar model and induced geometries | 21 pages, 2 figures. We dedicate this work to the memory of Peter
Hasenfratz. The revised version for the publication of PTEP | null | null | YITP-16-56, MPP-2016-87, OU-HET-895 | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the proposal that a $d+1$ dimensional induced metric is constructed
from a $d$ dimensional field theory using gradient flow. Applying the idea to
the O($N$) $\varphi^4$ model and normalizing the flow field, we have shown in
the large $N$ limit that the induced metric is finite and universal in the
sense that it does not depend on the details of the flow equation and the
original field theory except for the renormalized mass, which is the only
relevant quantity in this limit. We have found that the induced metric
describes Euclidean Anti-de-Sitter (AdS) space in both ultra-violet (UV) and
infra-red (IR) limits of the flow direction, where the radius of the AdS is
bigger in the IR than in the UV.
| [
{
"created": "Mon, 9 May 2016 04:22:54 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Jul 2016 05:36:05 GMT",
"version": "v2"
}
] | 2016-07-06 | [
[
"Aoki",
"Sinya",
""
],
[
"Balog",
"Janos",
""
],
[
"Onogi",
"Tetsuya",
""
],
[
"Weisz",
"Peter",
""
]
] | We study the proposal that a $d+1$ dimensional induced metric is constructed from a $d$ dimensional field theory using gradient flow. Applying the idea to the O($N$) $\varphi^4$ model and normalizing the flow field, we have shown in the large $N$ limit that the induced metric is finite and universal in the sense that it does not depend on the details of the flow equation and the original field theory except for the renormalized mass, which is the only relevant quantity in this limit. We have found that the induced metric describes Euclidean Anti-de-Sitter (AdS) space in both ultra-violet (UV) and infra-red (IR) limits of the flow direction, where the radius of the AdS is bigger in the IR than in the UV. |
0709.3806 | Alexei Litvinov | V. A. Fateev and A. V. Litvinov | Correlation functions in conformal Toda field theory I | 54 pages, JHEP style | JHEP 0711:002,2007 | 10.1088/1126-6708/2007/11/002 | null | hep-th | null | Two-dimensional sl(n) quantum Toda field theory on a sphere is considered.
This theory provides an important example of conformal field theory with higher
spin symmetry. We derive the three-point correlation functions of the
exponential fields if one of the three fields has a special form. In this case
it is possible to write down and solve explicitly the differential equation for
the four-point correlation function if the fourth field is completely
degenerate. We give also expressions for the three-point correlation functions
in the cases, when they can be expressed in terms of known functions. The
semiclassical and minisuperspace approaches in the conformal Toda field theory
are studied and the results coming from these approaches are compared with the
proposed analytical expression for the three-point correlation function. We
show, that in the framework of semiclassical and minisuperspace approaches
general three-point correlation function can be reduced to the
finite-dimensional integral.
| [
{
"created": "Mon, 24 Sep 2007 16:15:51 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Oct 2007 20:18:54 GMT",
"version": "v2"
}
] | 2009-06-19 | [
[
"Fateev",
"V. A.",
""
],
[
"Litvinov",
"A. V.",
""
]
] | Two-dimensional sl(n) quantum Toda field theory on a sphere is considered. This theory provides an important example of conformal field theory with higher spin symmetry. We derive the three-point correlation functions of the exponential fields if one of the three fields has a special form. In this case it is possible to write down and solve explicitly the differential equation for the four-point correlation function if the fourth field is completely degenerate. We give also expressions for the three-point correlation functions in the cases, when they can be expressed in terms of known functions. The semiclassical and minisuperspace approaches in the conformal Toda field theory are studied and the results coming from these approaches are compared with the proposed analytical expression for the three-point correlation function. We show, that in the framework of semiclassical and minisuperspace approaches general three-point correlation function can be reduced to the finite-dimensional integral. |
1505.01392 | Jean Alexandre | Jean Alexandre and James Brister | Effective matter dispersion relation in quantum covariant
Horava-Lifshitz gravity | 11 pages, comments added | Phys. Rev. D 92, 024025 (2015) | 10.1103/PhysRevD.92.024025 | KCL-PH-TH/2015-11 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study how quantum fluctuations of the metric in covariant Horava-Lifshitz
gravity influence the propagation of classical fields (complex scalar and
photon). The effective Lorentz-symmetry violation induced by the breaking of
4-dimensional diffeomorphism is then evaluated, by comparing the dressed
dispersion relations for both external fields. The constraint of vanishing
3-dimensional Ricci scalar is imposed in the path integral, which therefore
explicitly depends on two propagating gravitational degrees of freedom only.
Because the matter fields are classical, the present model contains only
logarithmic divergences. Furthermore, it imposes the characteristic
Horava-Lifshitz scale to be smaller than $10^{10}$ GeV, if one wishes not to
violate the current bounds on Lorentz symmetry violation.
| [
{
"created": "Wed, 6 May 2015 15:14:30 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Jun 2015 21:37:38 GMT",
"version": "v2"
}
] | 2015-07-22 | [
[
"Alexandre",
"Jean",
""
],
[
"Brister",
"James",
""
]
] | We study how quantum fluctuations of the metric in covariant Horava-Lifshitz gravity influence the propagation of classical fields (complex scalar and photon). The effective Lorentz-symmetry violation induced by the breaking of 4-dimensional diffeomorphism is then evaluated, by comparing the dressed dispersion relations for both external fields. The constraint of vanishing 3-dimensional Ricci scalar is imposed in the path integral, which therefore explicitly depends on two propagating gravitational degrees of freedom only. Because the matter fields are classical, the present model contains only logarithmic divergences. Furthermore, it imposes the characteristic Horava-Lifshitz scale to be smaller than $10^{10}$ GeV, if one wishes not to violate the current bounds on Lorentz symmetry violation. |
hep-th/9311023 | null | I. Zahed | Hot QCD | 20 pages | Acta Phys.Polon.B25:99-114,1994 | null | SUNY-NTG-93/42 | hep-th | null | I discuss a comprehensive approach to the spacelike physics in high
temperature QCD in three dimensions. The approach makes use of dimensional
reduction. I suggest that this approach is useful for high temperature QCD in
four dimensions.
| [
{
"created": "Wed, 3 Nov 1993 20:43:35 GMT",
"version": "v1"
}
] | 2011-04-20 | [
[
"Zahed",
"I.",
""
]
] | I discuss a comprehensive approach to the spacelike physics in high temperature QCD in three dimensions. The approach makes use of dimensional reduction. I suggest that this approach is useful for high temperature QCD in four dimensions. |
2212.08908 | S. Weinzierl | Sebastian P\"ogel, Xing Wang and Stefan Weinzierl | Bananas of equal mass: any loop, any order in the dimensional
regularisation parameter | 34 pages, v2: version to be published | null | 10.1007/JHEP04(2023)117 | null | hep-th hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe a systematic approach to cast the differential equation for the
$l$-loop equal mass banana integral into an $\varepsilon$-factorised form. With
the known boundary value at a specific point we obtain systematically the term
of order $j$ in the expansion in the dimensional regularisation parameter
$\varepsilon$ for any loop $l$. The approach is based on properties of
Calabi-Yau operators, and in particular on self-duality.
| [
{
"created": "Sat, 17 Dec 2022 15:52:23 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Apr 2023 12:09:36 GMT",
"version": "v2"
}
] | 2023-05-10 | [
[
"Pögel",
"Sebastian",
""
],
[
"Wang",
"Xing",
""
],
[
"Weinzierl",
"Stefan",
""
]
] | We describe a systematic approach to cast the differential equation for the $l$-loop equal mass banana integral into an $\varepsilon$-factorised form. With the known boundary value at a specific point we obtain systematically the term of order $j$ in the expansion in the dimensional regularisation parameter $\varepsilon$ for any loop $l$. The approach is based on properties of Calabi-Yau operators, and in particular on self-duality. |
hep-th/9504129 | Stephan Stieberger | P. Mayr and S. Stieberger | Moduli Dependence of One--Loop Gauge Couplings in (0,2)
Compactifications | 12 pages and 1 figure | Phys.Lett. B355 (1995) 107-116 | 10.1016/0370-2693(95)00683-C | CERN-TH/95-96 | hep-th | null | We derive the moduli dependence of the one--loop gauge couplings for
non--vanishing gauge background fields in a four--dimensional heterotic (0,2)
string compactification. Remarkably, these functions turn out to have a
representation as modular functions on an auxiliary Riemann surface on
appropriate truncations of the full moduli space. In particular, a certain kind
of one--loop functions is given by the free energy of two--dimensional solitons
on this surface.
| [
{
"created": "Tue, 25 Apr 1995 14:55:40 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Mayr",
"P.",
""
],
[
"Stieberger",
"S.",
""
]
] | We derive the moduli dependence of the one--loop gauge couplings for non--vanishing gauge background fields in a four--dimensional heterotic (0,2) string compactification. Remarkably, these functions turn out to have a representation as modular functions on an auxiliary Riemann surface on appropriate truncations of the full moduli space. In particular, a certain kind of one--loop functions is given by the free energy of two--dimensional solitons on this surface. |
hep-th/9307191 | Masaru Onoda | Masaru Onoda | Cancellation of unphysical gauge and ghost degrees of freedom in
backreaction | 20 pages , LaTeX , UT-Komaba/93-9 | Phys.Rev.D48:3860-3868,1993 | 10.1103/PhysRevD.48.3860 | null | hep-th | null | We study the U(1) Higgs model in spacetime-dependent background fields (a
background metric and a background scalar field).
Particle creation can occur because of the time-dependence of these
background fields. In gauge theories, there is a unphysical sector and
consequently unphysical particles may be produced. However, it is shown that
produced unphysical particles have no contribution to backreaction to
background fields.
| [
{
"created": "Fri, 30 Jul 1993 12:30:30 GMT",
"version": "v1"
}
] | 2010-11-01 | [
[
"Onoda",
"Masaru",
""
]
] | We study the U(1) Higgs model in spacetime-dependent background fields (a background metric and a background scalar field). Particle creation can occur because of the time-dependence of these background fields. In gauge theories, there is a unphysical sector and consequently unphysical particles may be produced. However, it is shown that produced unphysical particles have no contribution to backreaction to background fields. |
hep-th/9205047 | E. Elizalde | E. Elizalde and S.D. Odintsov (Department E.C.M., Faculty of Physics,
University of Barcelona, Spain) | Renormalization group equations in curved space-time with non-trivial
Topology | 7 Pages | Europhys.Lett.19:261-266,1992 | 10.1209/0295-5075/19/4/003 | UB-ECM-PF 92/7 | hep-th | null | Renormalization group equations for massless GUT's in curved space-time with
non-trivial topology are formulated. The asymptotics of the effective action
both at high and low energies are obtained. It is shown that the Casimir energy
contribution at high curvature (early Universe) becomes non-essential in the
effective action.
| [
{
"created": "Fri, 15 May 1992 15:28:03 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Elizalde",
"E.",
"",
"Department E.C.M., Faculty of Physics,\n University of Barcelona, Spain"
],
[
"Odintsov",
"S. D.",
"",
"Department E.C.M., Faculty of Physics,\n University of Barcelona, Spain"
]
] | Renormalization group equations for massless GUT's in curved space-time with non-trivial topology are formulated. The asymptotics of the effective action both at high and low energies are obtained. It is shown that the Casimir energy contribution at high curvature (early Universe) becomes non-essential in the effective action. |
hep-th/9407001 | Sergey Solodukhin | S.N.Solodukhin | The Conical Singularity And Quantum Corrections To Entropy Of Black Hole | JINR E2-94-246, Latex, 23 pages | Phys.Rev.D51:609-617,1995 | 10.1103/PhysRevD.51.609 | null | hep-th | null | For general finite temperature different from the Hawking one there appears a
well known conical singularity in the Euclidean classical solution of
gravitational equations. The method of regularizing the cone by regular surface
is used to determine the curvature tensors for such a metrics. This allows one
to calculate the one-loop matter effective action and the corresponding
one-loop quantum corrections to the entropy in the framework of the path
integral approach of Gibbons and Hawking. The two-dimensional and
four-dimensional cases are considered. The entropy of the Rindler space is
shown to be divergent logarithmically in two dimensions and quadratically in
four dimensions that coincides with results obtained earlier. For the eternal
2D black hole we observe finite, dependent on the mass, correction to the
entropy. The entropy of the 4D Schwarzschild black hole is shown to possess an
additional (in comparison with the 4D Rindler space) logarithmically divergent
correction which does not vanish in the limit of infinite mass of the black
hole. We argue that infinities of the entropy in four dimensions are
renormalized by the renormalization of the gravitational coupling.
| [
{
"created": "Fri, 1 Jul 1994 07:25:53 GMT",
"version": "v1"
}
] | 2010-11-01 | [
[
"Solodukhin",
"S. N.",
""
]
] | For general finite temperature different from the Hawking one there appears a well known conical singularity in the Euclidean classical solution of gravitational equations. The method of regularizing the cone by regular surface is used to determine the curvature tensors for such a metrics. This allows one to calculate the one-loop matter effective action and the corresponding one-loop quantum corrections to the entropy in the framework of the path integral approach of Gibbons and Hawking. The two-dimensional and four-dimensional cases are considered. The entropy of the Rindler space is shown to be divergent logarithmically in two dimensions and quadratically in four dimensions that coincides with results obtained earlier. For the eternal 2D black hole we observe finite, dependent on the mass, correction to the entropy. The entropy of the 4D Schwarzschild black hole is shown to possess an additional (in comparison with the 4D Rindler space) logarithmically divergent correction which does not vanish in the limit of infinite mass of the black hole. We argue that infinities of the entropy in four dimensions are renormalized by the renormalization of the gravitational coupling. |
hep-th/9806178 | Senarath P. de Alwis | S. P. de Alwis | On the Supergravity Gauge theory Correspondence and the Matrix Model | 19 pages, Latex | Phys. Rev. D 59, 044029 (1999) | 10.1103/PhysRevD.59.044029 | COLO-HEP-98/408 | hep-th | null | We review the assumptions and the logic underlying the derivation of DLCQ
Matrix models. In particular we try to clarify what remains valid at finite
$N$, the role of the non-renormalization theorems and higher order terms in the
supergravity expansion. The relation to Maldacena's conjecture is also
discussed. In particular the compactification of the Matrix model on $T_3$ is
compared to the $AdS_5\times S_5$ ${\cal N}=4$ super Yang-Mills duality, and
the different role of the branes in the two cases is pointed out.
| [
{
"created": "Sun, 21 Jun 1998 06:11:01 GMT",
"version": "v1"
}
] | 2016-08-25 | [
[
"de Alwis",
"S. P.",
""
]
] | We review the assumptions and the logic underlying the derivation of DLCQ Matrix models. In particular we try to clarify what remains valid at finite $N$, the role of the non-renormalization theorems and higher order terms in the supergravity expansion. The relation to Maldacena's conjecture is also discussed. In particular the compactification of the Matrix model on $T_3$ is compared to the $AdS_5\times S_5$ ${\cal N}=4$ super Yang-Mills duality, and the different role of the branes in the two cases is pointed out. |
1711.09236 | Frederik Scholtz | FG Scholtz, PH Williams and JN Kriel | Commutative/Non-Commutative Dualities | 9 pages, no figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that it is in principle possible to construct dualities between
commutative and non-commutative theories in a systematic way. This construction
exploits a generalization of the exact renormalization group equation (ERG). We
apply this to the simple case of the Landau problem and then generalize it to
the free and interacting non-canonical scalar field theory. This constructive
approach offers the advantage of tracking the implementation of the Lorentz
symmetry in the non-commutative dual theory. In principle, it allows for the
construction of completely consistent non-commutative and non-local theories
where the Lorentz symmetry and unitarity are still respected, but may be
implemented in a highly non-trivial and non-local manner.
| [
{
"created": "Sat, 25 Nov 2017 13:10:12 GMT",
"version": "v1"
}
] | 2017-11-28 | [
[
"Scholtz",
"FG",
""
],
[
"Williams",
"PH",
""
],
[
"Kriel",
"JN",
""
]
] | We show that it is in principle possible to construct dualities between commutative and non-commutative theories in a systematic way. This construction exploits a generalization of the exact renormalization group equation (ERG). We apply this to the simple case of the Landau problem and then generalize it to the free and interacting non-canonical scalar field theory. This constructive approach offers the advantage of tracking the implementation of the Lorentz symmetry in the non-commutative dual theory. In principle, it allows for the construction of completely consistent non-commutative and non-local theories where the Lorentz symmetry and unitarity are still respected, but may be implemented in a highly non-trivial and non-local manner. |
hep-th/9606015 | Peter Bowcock | P.Bowcock, R-L.K.Koktava and A.Taormina (Durham University) | Free field representations for the affine superalgebra sl(2|1) | Latex file, 12 pages | Phys.Lett. B388 (1996) 303-308 | 10.1016/S0370-2693(96)01103-3 | DTP/96/11 | hep-th | null | Free field representations of the affine superalgebra $A(1,0)^{(1)}$ at level
$k$ are needed in the description of the noncritical $N=2$ string. The
superalgebra admits two inequivalent choices of simple roots. We give the
Wakimoto representations corresponding to each of these and derive the relation
between the two at the quantum level.
| [
{
"created": "Tue, 4 Jun 1996 15:28:25 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Bowcock",
"P.",
"",
"Durham University"
],
[
"Koktava",
"R-L. K.",
"",
"Durham University"
],
[
"Taormina",
"A.",
"",
"Durham University"
]
] | Free field representations of the affine superalgebra $A(1,0)^{(1)}$ at level $k$ are needed in the description of the noncritical $N=2$ string. The superalgebra admits two inequivalent choices of simple roots. We give the Wakimoto representations corresponding to each of these and derive the relation between the two at the quantum level. |
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