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Title: Bose-Fermi cancellations without supersymmetry

Abstract

We show that adjoint QCD features very strong Bose-Fermi cancellations in the large- N limit, despite the fact that it is manifestly nonsupersymmetric. The difference between the bosonic and fermionic densities of states in large- N adjoint QCD turns out to have a “two-dimensional” scaling ~ exp ( E ) for large energies E in finite spatial volume, where is a length scale associated with the curvature of the spatial manifold. In particular, all Hagedorn growth cancels, and so does the growth exp ( V 1 / 4 E 3 / 4 ) expected in a standard local four-dimensional theory in spatial volume V . In these ways, large- N adjoint QCD, a manifestly nonsupersymmetric theory, acts similarly to supersymmetric theories. We also show that at large- N the vacuum energy of multiflavor adjoint QCD is non-negative and exponentially small compared to the UV cutoff with several natural regulators.

Authors:
; ;
Publication Date:
Research Org.:
North Carolina State Univ., Raleigh, NC (United States); Univ. of Minnesota, Minneapolis, MN (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF)
OSTI Identifier:
1511093
Alternate Identifier(s):
OSTI ID: 1609461
Grant/Contract Number:  
FG02-03ER41260; SC0011842; NSF PHY17-48958
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 99 Journal Issue: 10; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Astronomy & Astrophysics; Physics

Citation Formats

Cherman, Aleksey, Shifman, Mikhail, and Ünsal, Mithat. Bose-Fermi cancellations without supersymmetry. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.99.105001.
Cherman, Aleksey, Shifman, Mikhail, & Ünsal, Mithat. Bose-Fermi cancellations without supersymmetry. United States. doi:10.1103/PhysRevD.99.105001.
Cherman, Aleksey, Shifman, Mikhail, and Ünsal, Mithat. Tue . "Bose-Fermi cancellations without supersymmetry". United States. doi:10.1103/PhysRevD.99.105001.
@article{osti_1511093,
title = {Bose-Fermi cancellations without supersymmetry},
author = {Cherman, Aleksey and Shifman, Mikhail and Ünsal, Mithat},
abstractNote = {We show that adjoint QCD features very strong Bose-Fermi cancellations in the large-N limit, despite the fact that it is manifestly nonsupersymmetric. The difference between the bosonic and fermionic densities of states in large-N adjoint QCD turns out to have a “two-dimensional” scaling ~exp(ℓE) for large energies E in finite spatial volume, where ℓ is a length scale associated with the curvature of the spatial manifold. In particular, all Hagedorn growth cancels, and so does the growth exp(V1/4E3/4) expected in a standard local four-dimensional theory in spatial volume V. In these ways, large-N adjoint QCD, a manifestly nonsupersymmetric theory, acts similarly to supersymmetric theories. We also show that at large-N the vacuum energy of multiflavor adjoint QCD is non-negative and exponentially small compared to the UV cutoff with several natural regulators.},
doi = {10.1103/PhysRevD.99.105001},
journal = {Physical Review D},
number = 10,
volume = 99,
place = {United States},
year = {2019},
month = {5}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.99.105001

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Cited by: 5 works
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Works referenced in this record:

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


QCD quark condensate from SUSY and the orientifold large-N expansion
journal, January 2004


Quark confinement and topology of gauge theories
journal, March 1977


Super-Poincare covariant quantization of the superstring
journal, March 2000


Constraints on supersymmetry breaking
journal, July 1982


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


Center-stabilized Yang-Mills theory: Confinement and large N volume independence
journal, September 2008


Polyakov loops and the Hosotani mechanism on the lattice
journal, May 2014


Large-N reduction of <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi mathvariant="normal">SU</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> Yang–Mills theory with massive adjoint overlap fermions
journal, April 2011


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


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


Higher representations on the lattice: Numerical simulations, SU(2) with adjoint fermions
journal, May 2010


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


Spectral sum rules for confining large-N theories
journal, June 2016

  • Cherman, Aleksey; McGady, David A.; Yamazaki, Masahito
  • Journal of High Energy Physics, Vol. 2016, Issue 6
  • DOI: 10.1007/JHEP06(2016)095

The large $N$ limit of superconformal field theories and supergravity
journal, January 1998


Anti de Sitter space and holography
journal, January 1998


Large- N reduction in QCD with two adjoint Dirac fermions
journal, May 2012


Deconfinement and continuity between thermal and (super) Yang-Mills theory for all gauge groups
journal, September 2014

  • Anber, Mohamed M.; Poppitz, Erich; Teeple, Brett
  • Journal of High Energy Physics, Vol. 2014, Issue 9
  • DOI: 10.1007/JHEP09(2014)040

Strings from domain walls in supersymmetric Yang-Mills theory and adjoint QCD
journal, July 2015


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


Modular Invariance of Conformal Field Theory on S 1 × S 3 and Circle Fibrations
journal, September 2017


Spatial volume dependence for 2+1 dimensional SU(N) Yang-Mills theory
journal, September 2013

  • Pérez, Margarita García; González-Arroyo, Antonio; Okawa, Masanori
  • Journal of High Energy Physics, Vol. 2013, Issue 9
  • DOI: 10.1007/JHEP09(2013)003

A quenched momentum prescription for large-N theories
journal, October 1982


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

  • Di Pietro, Lorenzo; Komargodski, Zohar
  • Journal of High Energy Physics, Vol. 2014, Issue 12
  • DOI: 10.1007/JHEP12(2014)031

Infinite Chiral Symmetry in Four Dimensions
journal, January 2015

  • Beem, Christopher; Lemos, Madalena; Liendo, Pedro
  • Communications in Mathematical Physics, Vol. 336, Issue 3
  • DOI: 10.1007/s00220-014-2272-x

On the global structure of deformed Yang-Mills theory and QCD(adj) on ℝ 3 × S 1 $$ {\mathrm{\mathbb{R}}}^3\times {\mathbb{S}}^1 $$
journal, October 2015

  • Anber, Mohamed M.; Poppitz, Erich
  • Journal of High Energy Physics, Vol. 2015, Issue 10
  • DOI: 10.1007/JHEP10(2015)051

Volume independence for Yang–Mills fields on the twisted torus
journal, October 2014

  • García Pérez, Margarita; González-Arroyo, Antonio; Okawa, Masanori
  • International Journal of Modern Physics A, Vol. 29, Issue 25
  • DOI: 10.1142/S0217751X14450018

Infrared fixed point in SU(2) gauge theory with adjoint fermions
journal, April 2011


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


Twisted-Eguchi-Kawai model: A reduced model for large- N lattice gauge theory
journal, May 1983


Deconfinement in $ \mathcal{N}=1 $ super Yang-Mills theory on $ {{\mathbb{R}}^3}\times {{\mathbb{S}}^1} $ via dual-Coulomb gas and “affine” XY-model
journal, November 2013

  • Anber, Mohamed M.; Collier, Scott; Poppitz, Erich
  • Journal of High Energy Physics, Vol. 2013, Issue 11
  • DOI: 10.1007/JHEP11(2013)142

Magnetic bion condensation: A new mechanism of confinement and mass gap in four dimensions
journal, September 2009


1 N c expansion for baryons
journal, May 1994

  • Dashen, Roger; Jenkins, Elizabeth; Manohar, Aneesh V.
  • Physical Review D, Vol. 49, Issue 9
  • DOI: 10.1103/PhysRevD.49.4713

Is Supersymmetry Really Broken?
journal, March 1995


Surface defects and chiral algebras
journal, May 2017

  • Córdova, Clay; Gaiotto, Davide; Shao, Shu-Heng
  • Journal of High Energy Physics, Vol. 2017, Issue 5
  • DOI: 10.1007/JHEP05(2017)140

The semi-classical expansion and resurgence in gauge theories: new perturbative, instanton, bion, and renormalon effects
journal, August 2012

  • Argyres, Philip C.; Ünsal, Mithat
  • Journal of High Energy Physics, Vol. 2012, Issue 8
  • DOI: 10.1007/JHEP08(2012)063

Minimal walking on the lattice
journal, August 2007


Cardy formula for 4d SUSY theories and localization
journal, April 2017

  • Di Pietro, Lorenzo; Honda, Masazumi
  • Journal of High Energy Physics, Vol. 2017, Issue 4
  • DOI: 10.1007/JHEP04(2017)055

A planar diagram theory for strong interactions
journal, April 1974


Evolution of the coupling constant in SU(2) lattice gauge theory with two adjoint fermions
journal, November 2009


Holomorphy, rescaling anomalies and exact β functions in supersymmetric gauge theories
journal, May 2000


Infrared regime of SU(2) with one adjoint Dirac flavor
journal, June 2015


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


4 D 2 D equivalence for large- N Yang-Mills theory
journal, November 2015


Chiral algebras of class S $$ \mathcal{S} $$
journal, May 2015

  • Beem, Christopher; Peelaers, Wolfger; Rastelli, Leonardo
  • Journal of High Energy Physics, Vol. 2015, Issue 5
  • DOI: 10.1007/JHEP05(2015)020

Modularity and 4D-2D spectral equivalences for large-N gauge theories with adjoint matter
journal, June 2016

  • Basar, Gökçe; Cherman, Aleksey; Dienes, Keith R.
  • Journal of High Energy Physics, Vol. 2016, Issue 6
  • DOI: 10.1007/JHEP06(2016)148

Gluino condensate and magnetic monopoles in supersymmetric gluodynamics
journal, October 1999


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


Erratum: 1 N c expansion for baryons
journal, March 1995

  • Dashen, Roger; Jenkins, Elizabeth; Manohar, Aneesh V.
  • Physical Review D, Vol. 51, Issue 5
  • DOI: 10.1103/PhysRevD.51.2489

Chiral Lagrangian from Duality and Monopole Operators in Compactified QCD
journal, August 2016


Alternate 1 / N c expansions and SU(3) breaking from baryon lattice results
journal, July 2012


Spectrum of SU(2) lattice gauge theory with two adjoint Dirac flavours
journal, May 2009


Two-loop perturbative corrections to the thermal effective potential in gluodynamics
journal, January 2014


Baryon-pion couplings from large-Nc QCD
journal, October 1993


Infrared dynamics of minimal walking technicolor
journal, July 2010


Twisted space-time reduced model of large N QCD with two adjoint Wilson fermions
journal, July 2013


All you need is N : Baryon spectroscopy in two large N limits
journal, August 2009


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

  • Misumi, Tatsuhiro; Kanazawa, Takuya
  • Journal of High Energy Physics, Vol. 2014, Issue 6
  • DOI: 10.1007/JHEP06(2014)181

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


Low energy properties of SU(2) gauge theory with Nf = 3/2 flavours of adjoint fermions
journal, January 2018

  • Bergner, Georg; Giudice, Pietro; Münster, Gernot
  • Journal of High Energy Physics, Vol. 2018, Issue 1
  • DOI: 10.1007/JHEP01(2018)119

Conformality or confinement: (IR)relevance of topological excitations
journal, September 2009


Large- N reduction in QCD-like theories with massive adjoint fermions
journal, December 2010


The quenched Eguchi-Kawai model
journal, June 1982


Type IIB superstring action in AdS5 × S5 background
journal, November 1998


Baryons in the expansion
journal, November 1979


Holonomy saddles and supersymmetry
journal, June 2018


Improved lattice spectroscopy of minimal walking technicolor
journal, August 2011


Phase diagram of SU (2) with 2 flavors of dynamical adjoint quarks
journal, November 2008


Large N reduction with the twisted Eguchi-Kawai model
journal, July 2010

  • González-Arroyo, Antonio; Okawa, Masanori
  • Journal of High Energy Physics, Vol. 2010, Issue 7
  • DOI: 10.1007/JHEP07(2010)043

Dynamical breaking of supersymmetry
journal, October 1981


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


Nonperturbative volume reduction of large- N QCD with adjoint fermions
journal, September 2009


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

  • Basar, Gökçe; Cherman, Aleksey; McGady, David
  • Journal of High Energy Physics, Vol. 2015, Issue 7
  • DOI: 10.1007/JHEP07(2015)016

Continuity, deconfinement, and (super) Yang-Mills theory
journal, October 2012

  • Poppitz, Erich; Schäfer, Thomas; Ünsal, Mithat
  • Journal of High Energy Physics, Vol. 2012, Issue 10
  • DOI: 10.1007/JHEP10(2012)115

Broken supergauge symmetry and renormalization
journal, July 1974


Restrictions on symmetry breaking in vector-like gauge theories
journal, March 1984


Conformal field theory of AdS background with Ramond-Ramond flux
journal, March 1999


QCD and instantons at finite temperature
journal, January 1981

  • Gross, David J.; Pisarski, Robert D.; Yaffe, Laurence G.
  • Reviews of Modern Physics, Vol. 53, Issue 1
  • DOI: 10.1103/RevModPhys.53.43

High-temperature asymptotics of supersymmetric partition functions
journal, July 2016


Temperature-reflection symmetry
journal, May 2015


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

  • Aharony, Ofer; Marsano, Joseph; Minwalla, Shiraz
  • Advances in Theoretical and Mathematical Physics, Vol. 8, Issue 4
  • DOI: 10.4310/ATMP.2004.v8.n4.a1

A twisted model for large N lattice gauge theory
journal, January 1983


Conformality or confinement (II): one-flavor CFTs and mixed-representation QCD
journal, December 2009


The quark condensate in multi-flavour QCD – planar equivalence confronting lattice simulations
journal, February 2015


Refining the proof of planar equivalence
journal, February 2005


Spectrum and mass anomalous dimension of SU(2) adjoint QCD with two Dirac flavors
journal, August 2017


Yangian Symmetry and Integrability of Planar N = 4 Supersymmetric Yang-Mills Theory
journal, April 2017


Anomaly constraints on deconfinement and chiral phase transition
journal, May 2018


Two-flavor adjoint QCD
journal, August 2018


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

  • Ünsal, Mithat; Yaffe, Laurence G.
  • Journal of High Energy Physics, Vol. 2010, Issue 8
  • DOI: 10.1007/JHEP08(2010)030

Walls, anomalies, and deconfinement in quantum antiferromagnets
journal, February 2018


L-functions for meromorphic modular forms and sum rules in conformal field theory
journal, January 2019


Yangian symmetry for the action of planar N = 4 super Yang-Mills and N = 6 super Chern-Simons theories
journal, August 2018


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


Baryon hyperfine mass splittings large N QCD
journal, October 1993


    Works referencing / citing this record:

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