Spectral sum rules for confining large-N theories

Cherman, Aleksey; McGady, David A.; Yamazaki, Masahito

doi:10.1007/JHEP06(2016)095

Title: Spectral sum rules for confining large-N theories

Abstract

We consider asymptotically-free four-dimensional large-$$N$$ gauge theories with massive fermionic and bosonic adjoint matter fields, compactified on squashed three-spheres, and examine their regularized large-$$N$$ confined-phase spectral sums. The analysis is done in the limit of vanishing ’t Hooft coupling, which is justified by taking the size of the compactification manifold to be small compared to the inverse strong scale Λ^₋1. We find our results motivate us to conjecture some universal spectral sum rules for these large $$N$$ gauge theories.

Authors:

Cherman, Aleksey ^[1]; McGady, David A. ^[2]; Yamazaki, Masahito ^[3]

Univ. of Washington, Seattle, WA (United States). Inst. for Nuclear Theory
Univ. of Tokyo, Chiba (Japan); Univ. of Copenhagen (Denmark). The Niels Bohr International Academy & Discovery Center
Univ. of Tokyo, Chiba (Japan); ; Institute for Advanced Study, Princeton, NJ (United States). School of Natural Sciences

Publication Date:: Fri Jun 17 00:00:00 EDT 2016

Research Org.:: Univ. of Washington, Seattle, WA (United States)

Sponsoring Org.:: USDOE; Japan Society for the Promotion of Science (JSPS); National Science Foundation (NSF)

OSTI Identifier:: 1326998

Grant/Contract Number:: FG02-00ER41132; PHYS-1066293; 15K17634

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 6; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Confinement; 1/N Expansion

Citation Formats


                    Cherman, Aleksey, McGady, David A., and Yamazaki, Masahito. Spectral sum rules for confining large-N theories.  United States: N. p., 2016. 
Web.  doi:10.1007/JHEP06(2016)095.

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                    Cherman, Aleksey, McGady, David A., & Yamazaki, Masahito. Spectral sum rules for confining large-N theories.  United States.  https://doi.org/10.1007/JHEP06(2016)095

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                    Cherman, Aleksey, McGady, David A., and Yamazaki, Masahito. Fri .  
"Spectral sum rules for confining large-N theories".  United States.  https://doi.org/10.1007/JHEP06(2016)095.  https://www.osti.gov/servlets/purl/1326998.

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@article{osti_1326998,

  title        = {Spectral sum rules for confining large-N theories},

  author       = {Cherman, Aleksey and McGady, David A. and Yamazaki, Masahito},

  abstractNote = {We consider asymptotically-free four-dimensional large-$N$ gauge theories with massive fermionic and bosonic adjoint matter fields, compactified on squashed three-spheres, and examine their regularized large-$N$ confined-phase spectral sums. The analysis is done in the limit of vanishing ’t Hooft coupling, which is justified by taking the size of the compactification manifold to be small compared to the inverse strong scale Λ₋1. We find our results motivate us to conjecture some universal spectral sum rules for these large $N$ gauge theories.},

  doi          = {10.1007/JHEP06(2016)095},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 6,

  volume       = 2016,

  place        = {United States},

  year         = {Fri Jun 17 00:00:00 EDT 2016},

  month        = {Fri Jun 17 00:00:00 EDT 2016}

}

Copy to clipboard

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Works referencing / citing this record:

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journal, October 2018

Beccaria, Matteo; Tseytlin, Arkady A.
Journal of High Energy Physics, Vol. 2018, Issue 10
DOI: 10.1007/jhep10(2018)087

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Title: Spectral sum rules for confining large-N theories

Abstract

Citation Formats

Interaction of goldstone particles in two dimensions. Applications to ferromagnets and massive Yang-Mills fields journal, October 1975

Hidden symmetry of the two-dimensional chiral fields journal, December 1977

String representations and hidden symmetries for gauge fields journal, March 1979

Gauge fields as rings of glue journal, January 1980

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Review of AdS/CFT Integrability: An Overview journal, October 2011

The Hagedorn/Deconfinement Phase Transition in Weakly Coupled Large N Gauge Theories journal, January 2004

Casimir Energy of Confining Large N Gauge Theories journal, June 2015

Volume Independence in the Large N Limit and an Emergent Fermionic Symmetry journal, September 2013

Cardy formulae for SUSY theories in d = 4 and d = 6 journal, December 2014

High-temperature expansion of supersymmetric partition functions journal, July 2015

Dynamical breaking of supersymmetry journal, October 1981

The Casimir energy in curved space and its supersymmetric counterpart journal, July 2015

Spontaneous supersymmetry breaking in supersymmetric string theories journal, May 1984

Number of degrees of freedom, density of states and tachyons in string theory and CFT journal, July 1991

Non-critical superstrings journal, November 1990

Modular invariance, finiteness, and misaligned supersymmetry: New constraints on the numbers of physical string states journal, November 1994

String Theory, Misaligned Supersymmetry, and the Supertrace Constraints journal, June 1995

A planar diagram theory for strong interactions journal, April 1974

Baryons in the expansion journal, November 1979

Gauge Fields and Space-Time journal, October 2002

The Hagedorn transition, deconfinement and SYM theory journal, May 2000

Bose-Fermi degeneracies in large N adjoint QCD journal, July 2015

Hagedorn transition and topological entanglement entropy journal, June 2016

Double integrals and infinite products for some classical constants via analytic continuations of Lerch’s transcendent journal, July 2008

The 2-loop partition function of large N gauge theories with adjoint matter on S 3 journal, December 2009

SUSY gauge theories on squashed three-spheres journal, May 2011

Superconformal index of higher derivative N = 1 $$ \mathcal{N}=1 $$ multiplets in four dimensions journal, October 2018

Interaction of goldstone particles in two dimensions. Applications to ferromagnets and massive Yang-Mills fields
journal, October 1975

Hidden symmetry of the two-dimensional chiral fields
journal, December 1977

String representations and hidden symmetries for gauge fields
journal, March 1979

Gauge fields as rings of glue
journal, January 1980

A relation between approaches to integrability in superconformal Yang-Mills theory
journal, October 2003

Review of AdS/CFT Integrability: An Overview
journal, October 2011

The Hagedorn/Deconfinement Phase Transition in Weakly Coupled Large N Gauge Theories
journal, January 2004

Casimir Energy of Confining Large $N$ Gauge Theories
journal, June 2015

Volume Independence in the Large $N$ Limit and an Emergent Fermionic Symmetry
journal, September 2013

Cardy formulae for SUSY theories in d = 4 and d = 6
journal, December 2014

High-temperature expansion of supersymmetric partition functions
journal, July 2015

Dynamical breaking of supersymmetry
journal, October 1981

The Casimir energy in curved space and its supersymmetric counterpart
journal, July 2015

Spontaneous supersymmetry breaking in supersymmetric string theories
journal, May 1984

Number of degrees of freedom, density of states and tachyons in string theory and CFT
journal, July 1991

Non-critical superstrings
journal, November 1990

Modular invariance, finiteness, and misaligned supersymmetry: New constraints on the numbers of physical string states
journal, November 1994

String Theory, Misaligned Supersymmetry, and the Supertrace Constraints
journal, June 1995

A planar diagram theory for strong interactions
journal, April 1974

Baryons in the expansion
journal, November 1979

Gauge Fields and Space-Time
journal, October 2002

The Hagedorn transition, deconfinement and SYM theory
journal, May 2000

Bose-Fermi degeneracies in large N adjoint QCD
journal, July 2015

Hagedorn transition and topological entanglement entropy
journal, June 2016

Double integrals and infinite products for some classical constants via analytic continuations of Lerch’s transcendent
journal, July 2008

The 2-loop partition function of large N gauge theories with adjoint matter on S ³
journal, December 2009

SUSY gauge theories on squashed three-spheres
journal, May 2011

Superconformal index of higher derivative N = 1 $$ \mathcal{N}=1 $$ multiplets in four dimensions
journal, October 2018