Bose-Fermi degeneracies in large N adjoint QCD

Basar, Gokce; Cherman, Aleksey; McGady, David

doi:10.1007/JHEP07(2015)016

Title: Bose-Fermi degeneracies in large N adjoint QCD

Abstract

Here, we analyze the large N limit of adjoint QCD, an SU(N) gauge theory with N _f flavors of massless adjoint Majorana fermions, compactified on S³ × S¹. We focus on the weakly-coupled confining small-S³ regime. If the fermions are given periodic boundary conditions on S¹, we show that there are large cancellations between bosonic and fermionic contributions to the twisted partition function. These cancellations follow a pattern previously seen in the context of misaligned supersymmetry, and lead to the absence of Hagedorn instabilities for any S¹ size L, even though the bosonic and fermionic densities of states both have Hagedorn growth. Adjoint QCD stays in the confining phase for any L ~ N⁰, explaining how it is able to enjoy large N volume independence for any L. The large N boson-fermion cancellations take place in a setting where adjoint QCD is manifestly non-supersymmetric at any finite N, and are consistent with the recent conjecture that adjoint QCD has emergent fermionic symmetries in the large N limit.

Authors:

Basar, Gokce ^[1]; Cherman, Aleksey ^[2]; McGady, David ^[3]

Univ. of Maryland, College Park, MD (United States). Dept. of Physics; Stony Brook Univ., Stony Brook, NY (United States). Dept. of Physics and Astronomy
Univ. of Minnesota, Minneapolis, MN (United States). School of Physics and Astronomy
Princeton Univ., Princeton, NJ (United States). Dept. of Physics; Univ. of Tokyo, Chiba (Japan). Kavli IPMU

Publication Date:: Mon Jul 06 00:00:00 EDT 2015

Research Org.:: Univ. of Minnesota, Minneapolis, MN (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1454582

Grant/Contract Number:: SC0011842; FG02-88ER40388; FG02-93ER40762

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: 2015; Journal Issue: 7; 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


                    Basar, Gokce, Cherman, Aleksey, and McGady, David. Bose-Fermi degeneracies in large N adjoint QCD.  United States: N. p., 2015. 
Web.  doi:10.1007/JHEP07(2015)016.

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                    Basar, Gokce, Cherman, Aleksey, & McGady, David. Bose-Fermi degeneracies in large N adjoint QCD.  United States.  https://doi.org/10.1007/JHEP07(2015)016

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                    Basar, Gokce, Cherman, Aleksey, and McGady, David. Mon .  
"Bose-Fermi degeneracies in large N adjoint QCD".  United States.  https://doi.org/10.1007/JHEP07(2015)016.  https://www.osti.gov/servlets/purl/1454582.

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@article{osti_1454582,

  title        = {Bose-Fermi degeneracies in large N adjoint QCD},

  author       = {Basar, Gokce and Cherman, Aleksey and McGady, David},

  abstractNote = {Here, we analyze the large N limit of adjoint QCD, an SU(N) gauge theory with N f flavors of massless adjoint Majorana fermions, compactified on S3 × S1. We focus on the weakly-coupled confining small-S3 regime. If the fermions are given periodic boundary conditions on S1, we show that there are large cancellations between bosonic and fermionic contributions to the twisted partition function. These cancellations follow a pattern previously seen in the context of misaligned supersymmetry, and lead to the absence of Hagedorn instabilities for any S1 size L, even though the bosonic and fermionic densities of states both have Hagedorn growth. Adjoint QCD stays in the confining phase for any L ~ N0, explaining how it is able to enjoy large N volume independence for any L. The large N boson-fermion cancellations take place in a setting where adjoint QCD is manifestly non-supersymmetric at any finite N, and are consistent with the recent conjecture that adjoint QCD has emergent fermionic symmetries in the large N limit.},

  doi          = {10.1007/JHEP07(2015)016},

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

  number       = 7,

  volume       = 2015,

  place        = {United States},

  year         = {Mon Jul 06 00:00:00 EDT 2015},

  month        = {Mon Jul 06 00:00:00 EDT 2015}

}

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Works referencing / citing this record:

Cheshire Cat Resurgence, Self-Resurgence and Quasi-Exact Solvable Systems
journal, October 2018

Kozçaz, Can; Sulejmanpasic, Tin; Tanizaki, Yuya
Communications in Mathematical Physics, Vol. 364, Issue 3
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Flow of Hagedorn singularities and phase transitions in large $N$ gauge theories
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Quantum Distillation of Hilbert Spaces, Semi-classics and Anomaly Matching
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Dunne, Gerald V.; Tanizaki, Yuya; Ünsal, Mithat
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Title: Bose-Fermi degeneracies in large N adjoint QCD

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Abelian Duality, Confinement, and Chiral-Symmetry Breaking in a SU(2) QCD-Like Theory journal, January 2008

The large N limit of four dimensional Yang-Mills field coupled to adjoint fermions on a single site lattice journal, January 2010

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

Gauge Fields and Space-Time journal, October 2002

Large- N c Continuum Reduction and the Thermodynamics of QCD journal, November 2004

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

2d affine XY-spin model/4d gauge theory duality and deconfinement journal, April 2012

Solving the hierarchy problem without supersymmetry or extra dimensions: an alternative approach journal, September 2001

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

k-string tension from Eguchi-Kawai reduction journal, October 2011

The Hagedorn spectrum and large N c QCD in 2 + 1 and 3 + 1 dimensions journal, August 2011

Reduction of Dynamical Degrees of Freedom in the Large- N Gauge Theory journal, April 1982

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

Exploring curved superspace journal, August 2012

Dimensionally reduced SYM4 at large-N: an intriguing Coulomb approximation journal, June 2011

Neutral bions in the ℂ $$ \mathbb{C} $$ P N −1 model journal, June 2014

Large-N volume independence in conformal and confining gauge theories journal, August 2010

Adjoint QCD on ℝ3 × S 1 with twisted fermionic boundary conditions journal, June 2014

Realization of center symmetry in two adjoint flavor large-N Yang-Mills journal, August 2010

Quantum Phase Transitions and New Scales in QCD-like Theories journal, May 2009

Counting gauge invariants: the plethystic program journal, March 2007

Rigid supersymmetric theories in curved superspace journal, June 2011

The quenched Eguchi-Kawai model journal, June 1982

Exact results in non-supersymmetric large N orientifold field theories journal, September 2003

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

Can fermions save large N dimensional reduction? journal, October 2009

QCD and the Hagedorn spectrum journal, June 2010

Finite volume phases of large- N gauge theories with massive adjoint fermions journal, November 2009

Baryons in the expansion journal, November 1979

Counting BPS operators in gauge theories: quivers, syzygies and plethystics journal, November 2007

Counting chiral primaries in , superconformal field theories journal, July 2006

Finite size phase transitions in QCD with adjoint fermions journal, July 2009

REMARKS ON ADJOINT QCD WITH k FLAVORS, k≥2 journal, December 2013

Large- N volume reduction of lattice QCD with adjoint Wilson fermions at weak-coupling journal, June 2009

Cheshire Cat Resurgence, Self-Resurgence and Quasi-Exact Solvable Systems journal, October 2018

Flow of Hagedorn singularities and phase transitions in large N gauge theories journal, January 2020

Quantum Distillation of Hilbert Spaces, Semi-classics and Anomaly Matching text, January 2018

Large- $N$ Reduction in the Continuum Three-Dimensional Yang-Mills Theory
journal, August 2003

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

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

Supersymmetry in the space-time R × S3
journal, January 1987

Abelian Duality, Confinement, and Chiral-Symmetry Breaking in a SU(2) QCD-Like Theory
journal, January 2008

The large N limit of four dimensional Yang-Mills field coupled to adjoint fermions on a single site lattice
journal, January 2010

Comments on large-N volume independence
journal, January 2010

Volume independence in large N _c QCD-like gauge theories
journal, June 2007

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

Gauge Fields and Space-Time
journal, October 2002

Large- $N_{c}$ Continuum Reduction and the Thermodynamics of QCD
journal, November 2004

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

2d affine XY-spin model/4d gauge theory duality and deconfinement
journal, April 2012

Solving the hierarchy problem without supersymmetry or extra dimensions: an alternative approach
journal, September 2001

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

k-string tension from Eguchi-Kawai reduction
journal, October 2011

The Hagedorn spectrum and large N c QCD in 2 + 1 and 3 + 1 dimensions
journal, August 2011

Reduction of Dynamical Degrees of Freedom in the Large- $N$ Gauge Theory
journal, April 1982

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

Exploring curved superspace
journal, August 2012

Dimensionally reduced SYM4 at large-N: an intriguing Coulomb approximation
journal, June 2011

Neutral bions in the ℂ $$ \mathbb{C} $$ P N −1 model
journal, June 2014

Large-N volume independence in conformal and confining gauge theories
journal, August 2010

Adjoint QCD on ℝ3 × S 1 with twisted fermionic boundary conditions
journal, June 2014

Realization of center symmetry in two adjoint flavor large-N Yang-Mills
journal, August 2010

Quantum Phase Transitions and New Scales in QCD-like Theories
journal, May 2009

Counting gauge invariants: the plethystic program
journal, March 2007

Rigid supersymmetric theories in curved superspace
journal, June 2011

The quenched Eguchi-Kawai model
journal, June 1982

Exact results in non-supersymmetric large N orientifold field theories
journal, September 2003

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

Can fermions save large N dimensional reduction?
journal, October 2009

QCD and the Hagedorn spectrum
journal, June 2010

Finite volume phases of large- N gauge theories with massive adjoint fermions
journal, November 2009

Baryons in the expansion
journal, November 1979

Counting BPS operators in gauge theories: quivers, syzygies and plethystics
journal, November 2007

Counting chiral primaries in , superconformal field theories
journal, July 2006

Finite size phase transitions in QCD with adjoint fermions
journal, July 2009

REMARKS ON ADJOINT QCD WITH k FLAVORS, k≥2
journal, December 2013

Large- N volume reduction of lattice QCD with adjoint Wilson fermions at weak-coupling
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Cheshire Cat Resurgence, Self-Resurgence and Quasi-Exact Solvable Systems
journal, October 2018

Flow of Hagedorn singularities and phase transitions in large $N$ gauge theories
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