Dihedral symmetry in S U ( N ) Yang-Mills theory

Aitken, Kyle; Cherman, Aleksey; Ünsal, Mithat

doi:10.1103/PhysRevD.100.085004

Title: Dihedral symmetry in $S U (N)$ Yang-Mills theory

Abstract

We point out that charge conjugation and coordinate reflection symmetries do not commute with the center symmetry of SU(N) Yang-Mills (YM) theory when N>2. As a result, for generic values of the θ angle, the group of discrete 0-form symmetries of YM theory on, e.g., the spacetime manifold R3×S1 includes the dihedral group D2N, which is non-Abelian for N>2. At θ=π, the non-Abelian factor in the symmetry group is enhanced to D4N due to discrete ’t Hooft anomaly considerations. We illustrate these results in YM theory as well as in a simple quantum mechanical model, where we study representation theory as a function of the θ angle.

Authors:

; Cherman, Aleksey; Ünsal, Mithat

Publication Date:: Fri Oct 11 00:00:00 EDT 2019

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

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1570071

Alternate Identifier(s):: OSTI ID: 1595294; OSTI ID: 1595826

Grant/Contract Number:: SC0011637; FG02-00ER-41132; FG02-03ER41260

Resource Type:: Published Article

Journal Name:: Physical Review. D.

Additional Journal Information:: Journal Name: Physical Review. D. Journal Volume: 100 Journal Issue: 8; 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; Anomalies; Gauge theories; Monopoles; Nonperturbative effects in field theory; Symmetries

Citation Formats


                    Aitken, Kyle, Cherman, Aleksey, and Ünsal, Mithat. Dihedral symmetry in S U ( N ) Yang-Mills theory.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevD.100.085004.

Copy to clipboard


                    Aitken, Kyle, Cherman, Aleksey, & Ünsal, Mithat. Dihedral symmetry in S U ( N ) Yang-Mills theory.  United States.  https://doi.org/10.1103/PhysRevD.100.085004

Copy to clipboard


                    Aitken, Kyle, Cherman, Aleksey, and Ünsal, Mithat. Fri .  
"Dihedral symmetry in S U ( N ) Yang-Mills theory".  United States.  https://doi.org/10.1103/PhysRevD.100.085004.

Copy to clipboard


                    
@article{osti_1570071,

  title        = {Dihedral symmetry in S U ( N ) Yang-Mills theory},

  author       = {Aitken, Kyle and Cherman, Aleksey and Ünsal, Mithat},

  abstractNote = {We point out that charge conjugation and coordinate reflection symmetries do not commute with the center symmetry of SU(N) Yang-Mills (YM) theory when N>2. As a result, for generic values of the θ angle, the group of discrete 0-form symmetries of YM theory on, e.g., the spacetime manifold R3×S1 includes the dihedral group D2N, which is non-Abelian for N>2. At θ=π, the non-Abelian factor in the symmetry group is enhanced to D4N due to discrete ’t Hooft anomaly considerations. We illustrate these results in YM theory as well as in a simple quantum mechanical model, where we study representation theory as a function of the θ angle.},

  doi          = {10.1103/PhysRevD.100.085004},

  journal      = {Physical Review. D.},

  number       = 8,

  volume       = 100,

  place        = {United States},

  year         = {Fri Oct 11 00:00:00 EDT 2019},

  month        = {Fri Oct 11 00:00:00 EDT 2019}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.100.085004

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 11 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

On 2-group global symmetries and their anomalies
journal, March 2019

Benini, Francesco; Córdova, Clay; Hsin, Po-Shen
Journal of High Energy Physics, Vol. 2019, Issue 3
DOI: 10.1007/JHEP03(2019)118

Theta Dependence in the Large $N$ Limit of Four-Dimensional Gauge Theories
journal, October 1998

Witten, Edward
Physical Review Letters, Vol. 81, Issue 14
DOI: 10.1103/PhysRevLett.81.2862

Vacuum structure of bifundamental gauge theories at finite topological angles
journal, June 2017

Tanizaki, Yuya; Kikuchi, Yuta
Journal of High Energy Physics, Vol. 2017, Issue 6
DOI: 10.1007/JHEP06(2017)102

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

Ünsal, Mithat
Physical Review Letters, Vol. 100, Issue 3
DOI: 10.1103/PhysRevLett.100.032005

Theta, time reversal and temperature
journal, May 2017

Gaiotto, Davide; Kapustin, Anton; Komargodski, Zohar
Journal of High Energy Physics, Vol. 2017, Issue 5
DOI: 10.1007/JHEP05(2017)091

QCD on a small circle
journal, November 2017

Aitken, Kyle; Cherman, Aleksey; Poppitz, Erich
Physical Review D, Vol. 96, Issue 9
DOI: 10.1103/PhysRevD.96.096022

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

Cherman, Aleksey; Schäfer, Thomas; Ünsal, Mithat
Physical Review Letters, Vol. 117, Issue 8
DOI: 10.1103/PhysRevLett.117.081601

Vacuum structure of Yang-Mills theory as a function of θ
journal, September 2018

Aitken, Kyle; Cherman, Aleksey; Ünsal, Mithat
Journal of High Energy Physics, Vol. 2018, Issue 9
DOI: 10.1007/JHEP09(2018)030

Quark confinement and topology of gauge theories
journal, March 1977

Polyakov, A. M.
Nuclear Physics B, Vol. 120, Issue 3
DOI: 10.1016/0550-3213(77)90086-4

Classification of compactified su(Nc) gauge theories with fermions in all representations
journal, December 2017

Anber, Mohamed M.; Vincent-Genod, Loïc
Journal of High Energy Physics, Vol. 2017, Issue 12
DOI: 10.1007/JHEP12(2017)028

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

Ünsal, Mithat; Yaffe, Laurence G.
Physical Review D, Vol. 78, Issue 6
DOI: 10.1103/PhysRevD.78.065035

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

Cossu, Guido; Noaki, Jun-Ichi; Hatanaka, Hisaki
Physical Review D, Vol. 89, Issue 9
DOI: 10.1103/PhysRevD.89.094509

Symmetries and strings in field theory and gravity
journal, April 2011

Banks, Tom; Seiberg, Nathan
Physical Review D, Vol. 83, Issue 8
DOI: 10.1103/PhysRevD.83.084019

Topological susceptibility and contact term in QCD: A toy model
journal, February 2012

Thomas, Evan; Zhitnitsky, Ariel R.
Physical Review D, Vol. 85, Issue 4
DOI: 10.1103/PhysRevD.85.044039

Generalized global symmetries
journal, February 2015

Gaiotto, Davide; Kapustin, Anton; Seiberg, Nathan
Journal of High Energy Physics, Vol. 2015, Issue 2
DOI: 10.1007/JHEP02(2015)172

Semiclassical Realization of Infrared Renormalons
journal, September 2012

Argyres, Philip; Ünsal, Mithat
Physical Review Letters, Vol. 109, Issue 12
DOI: 10.1103/PhysRevLett.109.121601

Time-reversal breaking in QCD4, walls, and dualities in 2 + 1 dimensions
journal, January 2018

Gaiotto, Davide; Komargodski, Zohar; Seiberg, Nathan
Journal of High Energy Physics, Vol. 2018, Issue 1
DOI: 10.1007/JHEP01(2018)110

Universal mechanism of (semi-classical) deconfinement and θ-dependence for all simple groups
journal, March 2013

Poppitz, Erich; Schäfer, Thomas; Ünsal, Mithat
Journal of High Energy Physics, Vol. 2013, Issue 3
DOI: 10.1007/JHEP03(2013)087

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

Anber, Mohamed M.; Poppitz, Erich; Sulejmanpašić, Tin
Physical Review D, Vol. 92, Issue 2
DOI: 10.1103/PhysRevD.92.021701

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

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

Azeyanagi, Tatsuo; Hanada, Masanori; Ünsal, Mithat
Physical Review D, Vol. 82, Issue 12
DOI: 10.1103/PhysRevD.82.125013

Monopoles and instantons on partially compactified $D$ -branes
journal, September 1997

Lee, Kimyeong; Yi, Piljin
Physical Review D, Vol. 56, Issue 6
DOI: 10.1103/PhysRevD.56.3711

QCD-like theories on $R_{3} \times S_{1}$ : A smooth journey from small to large $r (S_{1})$ with double-trace deformations
journal, September 2008

Shifman, M.; Ünsal, Mithat
Physical Review D, Vol. 78, Issue 6
DOI: 10.1103/PhysRevD.78.065004

Multiflavor QCD∗ on <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:msub><mml:mi>R</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:math>: Studying transition from Abelian to non-Abelian confinement
journal, November 2009

Shifman, M.; Ünsal, M.
Physics Letters B, Vol. 681, Issue 5
DOI: 10.1016/j.physletb.2009.10.060

Coupling a QFT to a TQFT and duality
journal, April 2014

Kapustin, Anton; Seiberg, Nathan
Journal of High Energy Physics, Vol. 2014, Issue 4
DOI: 10.1007/JHEP04(2014)001

Compactified N = 1 $$ \mathcal{N}=1 $$ supersymmetric Yang-Mills theory on the lattice: continuity and the disappearance of the deconfinement transition
journal, December 2014

Bergner, G.; Piemonte, S.
Journal of High Energy Physics, Vol. 2014, Issue 12
DOI: 10.1007/JHEP12(2014)133

New nonperturbative scales and glueballs in confining supersymmetric gauge theories
journal, March 2018

Anber, Mohamed M.; Poppitz, Erich
Journal of High Energy Physics, Vol. 2018, Issue 3
DOI: 10.1007/JHEP03(2018)052

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

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

Phase diagrams of SU( N ) gauge theories with fermions in various representations
journal, July 2009

Myers, Joyce C.; Ogilvie, Michael C.
Journal of High Energy Physics, Vol. 2009, Issue 07
DOI: 10.1088/1126-6708/2009/07/095

Instatons, the quark model, and the 1/N expansion
journal, March 1979

Witten, Edward
Nuclear Physics B, Vol. 149, Issue 2
DOI: 10.1016/0550-3213(79)90243-8

Lattice models of quark confinement at high temperature
journal, November 1979

Susskind, Leonard
Physical Review D, Vol. 20, Issue 10
DOI: 10.1103/PhysRevD.20.2610

Metastable vacuum decay and θ dependence in gauge theory. Deformed QCD as a toy model
journal, January 2015

Bhoonah, Amit; Thomas, Evan; Zhitnitsky, Ariel R.
Nuclear Physics B, Vol. 890
DOI: 10.1016/j.nuclphysb.2014.11.007

Theta dependence, sign problems, and topological interference
journal, November 2012

Ünsal, Mithat
Physical Review D, Vol. 86, Issue 10
DOI: 10.1103/PhysRevD.86.105012

Global inconsistency, ’t Hooft anomaly, and level crossing in quantum mechanics
journal, November 2017

Kikuchi, Yuta; Tanizaki, Yuya
Progress of Theoretical and Experimental Physics, Vol. 2017, Issue 11
DOI: 10.1093/ptep/ptx148

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

Anber, Mohamed M.; Poppitz, Erich; Ünsal, Mithat
Journal of High Energy Physics, Vol. 2012, Issue 4
DOI: 10.1007/JHEP04(2012)040

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

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

Ünsal, Mithat
Physical Review D, Vol. 80, Issue 6
DOI: 10.1103/PhysRevD.80.065001

Wilson line in finite-temperature gauge theories
journal, May 1982

Weiss, Nathan
Physical Review D, Vol. 25, Issue 10
DOI: 10.1103/PhysRevD.25.2667

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

Yang-Mills theories with chiral matter at strong coupling
journal, May 2009

Shifman, M.; Ünsal, Mithat
Physical Review D, Vol. 79, Issue 10
DOI: 10.1103/PhysRevD.79.105010

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

All Possible Symmetries of the $S$ Matrix
journal, July 1967

Coleman, Sidney; Mandula, Jeffrey
Physical Review, Vol. 159, Issue 5
DOI: 10.1103/PhysRev.159.1251

Periodic instantons with non-trivial holonomy
journal, November 1998

Kraan, Thomas C.; van Baal, Pierre
Nuclear Physics B, Vol. 533, Issue 1-3
DOI: 10.1016/S0550-3213(98)00590-2

Thermal properties of gauge fields and quark liberation
journal, January 1978

Polyakov, A. M.
Physics Letters B, Vol. 72, Issue 4
DOI: 10.1016/0370-2693(78)90737-2

Deconfinement in Yang-Mills theory through toroidal compactification with deformation
journal, May 2012

Simić, Dušan; Ünsal, Mithat
Physical Review D, Vol. 85, Issue 10
DOI: 10.1103/PhysRevD.85.105027

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

Cossu, Guido; D'Elia, Massimo
Journal of High Energy Physics, Vol. 2009, Issue 07
DOI: 10.1088/1126-6708/2009/07/048

Metastable vacuum decay in center-stabilized Yang-Mills theory at large $N$
journal, November 2014

Li, Xin; Voloshin, M. B.
Physical Review D, Vol. 90, Issue 10
DOI: 10.1103/PhysRevD.90.105028

Exploring 2-group global symmetries
journal, February 2019

Córdova, Clay; Dumitrescu, Thomas T.; Intriligator, Kenneth
Journal of High Energy Physics, Vol. 2019, Issue 2
DOI: 10.1007/JHEP02(2019)184

Similar Records in DOE PAGES and OSTI.GOV collections:

Vacuum structure of Yang-Mills theory as a function of θ

Journal Article Aitken, Kyle ; Cherman, Aleksey ; Ünsal, Mithat - Journal of High Energy Physics (Online)

It is believed that in SU(N) Yang-Mills theory observables are N -branched functions of the topological θ angle. This is supposed to be due to the existence of a set of locally-stable candidate vacua, which compete for global stability as a function of θ. We study the number of θ vacua, their interpretation, and their stability properties using systematic semiclassical analysis in the context of adiabatic circle compactification onmore »« less
Cited by 16
https://doi.org/10.1007/jhep09(2018)030

Full Text Available
Phases of nonsupersymmetric gauge theories: The $S O (N_{c})$ case study

Journal Article Csáki, Csaba ; Gomes, Andrew ; Murayama, Hitoshi ; ... - Physical Review D

We investigate the IR phases of nonsupersymmetric (non-SUSY) SO(N_c) gauge theories with N_F fermions in the vector representation obtained by perturbing the SUSY theory with anomaly mediated SUSY breaking (AMSB). We find that of the wide variety of phases appearing in the SUSY theory only two survive: for N_F ≤more »« less
https://doi.org/10.1103/PhysRevD.104.114018
Nonperturbative study of dynamical SUSY breaking in $N = (2, 2)$ Yang-Mills theory

Journal Article Catterall, Simon ; Jha, Raghav G. ; Joseph, Anosh - Physical Review D

We examine the possibility of dynamical supersymmetry breaking in two-dimensionalmore »« less
Cited by 9
https://doi.org/10.1103/PhysRevD.97.054504
Primitive quantum gates for an $S U (2)$ discrete subgroup: Binary octahedral

Journal Article Gustafson, Erik J. ; Lamm, Henry ; Lovelace, Felicity - Physical Review. D.

We construct a primitive gate set for the digital quantum simulation of the 48-element binary octahedral (more »« less
https://doi.org/10.1103/PhysRevD.109.054503
Reflections on the matter of 3D $N = 1$ vacua and local $S p i n (7)$ compactifications

Journal Article Cvetič, Mirjam ; Heckman, Jonathan J. ; Torres, Ethan ; ... - Physical Review D

We use Higgs bundles to study the 3Dmore »« less
https://doi.org/10.1103/PhysRevD.105.026008

Similar Records

Title: Dihedral symmetry in S U ( N ) Yang-Mills theory

Abstract

Citation Formats

On 2-group global symmetries and their anomalies journal, March 2019

Theta Dependence in the Large N Limit of Four-Dimensional Gauge Theories journal, October 1998

Vacuum structure of bifundamental gauge theories at finite topological angles journal, June 2017

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

Theta, time reversal and temperature journal, May 2017

QCD on a small circle journal, November 2017

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

Vacuum structure of Yang-Mills theory as a function of θ journal, September 2018

Quark confinement and topology of gauge theories journal, March 1977

Classification of compactified su(Nc) gauge theories with fermions in all representations journal, December 2017

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

Symmetries and strings in field theory and gravity journal, April 2011

Topological susceptibility and contact term in QCD: A toy model journal, February 2012

Generalized global symmetries journal, February 2015

Semiclassical Realization of Infrared Renormalons journal, September 2012

Time-reversal breaking in QCD4, walls, and dualities in 2 + 1 dimensions journal, January 2018

Universal mechanism of (semi-classical) deconfinement and θ-dependence for all simple groups journal, March 2013

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

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

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

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

Monopoles and instantons on partially compactified D -branes journal, September 1997

QCD-like theories on R 3 × S 1 : A smooth journey from small to large r ( S 1 ) with double-trace deformations journal, September 2008

Coupling a QFT to a TQFT and duality journal, April 2014

Compactified N = 1 $$ \mathcal{N}=1 $$ supersymmetric Yang-Mills theory on the lattice: continuity and the disappearance of the deconfinement transition journal, December 2014

New nonperturbative scales and glueballs in confining supersymmetric gauge theories journal, March 2018

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

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

Phase diagrams of SU( N ) gauge theories with fermions in various representations journal, July 2009

Instatons, the quark model, and the 1/N expansion journal, March 1979

Lattice models of quark confinement at high temperature journal, November 1979

Metastable vacuum decay and θ dependence in gauge theory. Deformed QCD as a toy model journal, January 2015

Theta dependence, sign problems, and topological interference journal, November 2012

Global inconsistency, ’t Hooft anomaly, and level crossing in quantum mechanics journal, November 2017

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

QCD and instantons at finite temperature journal, January 1981

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

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

Wilson line in finite-temperature gauge theories journal, May 1982

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

Yang-Mills theories with chiral matter at strong coupling journal, May 2009

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

All Possible Symmetries of the S Matrix journal, July 1967

Periodic instantons with non-trivial holonomy journal, November 1998

Thermal properties of gauge fields and quark liberation journal, January 1978

Deconfinement in Yang-Mills theory through toroidal compactification with deformation journal, May 2012

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

Metastable vacuum decay in center-stabilized Yang-Mills theory at large N journal, November 2014

Exploring 2-group global symmetries journal, February 2019

Title: Dihedral symmetry in $S U (N)$ Yang-Mills theory

On 2-group global symmetries and their anomalies
journal, March 2019

Theta Dependence in the Large $N$ Limit of Four-Dimensional Gauge Theories
journal, October 1998

Vacuum structure of bifundamental gauge theories at finite topological angles
journal, June 2017

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

Theta, time reversal and temperature
journal, May 2017

QCD on a small circle
journal, November 2017

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

Vacuum structure of Yang-Mills theory as a function of θ
journal, September 2018

Quark confinement and topology of gauge theories
journal, March 1977

Classification of compactified su(Nc) gauge theories with fermions in all representations
journal, December 2017

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

Symmetries and strings in field theory and gravity
journal, April 2011

Topological susceptibility and contact term in QCD: A toy model
journal, February 2012

Generalized global symmetries
journal, February 2015

Semiclassical Realization of Infrared Renormalons
journal, September 2012

Time-reversal breaking in QCD4, walls, and dualities in 2 + 1 dimensions
journal, January 2018

Universal mechanism of (semi-classical) deconfinement and θ-dependence for all simple groups
journal, March 2013

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

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

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

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

Monopoles and instantons on partially compactified $D$ -branes
journal, September 1997

QCD-like theories on $R_{3} \times S_{1}$ : A smooth journey from small to large $r (S_{1})$ with double-trace deformations
journal, September 2008

Coupling a QFT to a TQFT and duality
journal, April 2014

Compactified N = 1 $$ \mathcal{N}=1 $$ supersymmetric Yang-Mills theory on the lattice: continuity and the disappearance of the deconfinement transition
journal, December 2014

New nonperturbative scales and glueballs in confining supersymmetric gauge theories
journal, March 2018

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

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

Phase diagrams of SU( N ) gauge theories with fermions in various representations
journal, July 2009

Instatons, the quark model, and the 1/N expansion
journal, March 1979

Lattice models of quark confinement at high temperature
journal, November 1979

Metastable vacuum decay and θ dependence in gauge theory. Deformed QCD as a toy model
journal, January 2015

Theta dependence, sign problems, and topological interference
journal, November 2012

Global inconsistency, ’t Hooft anomaly, and level crossing in quantum mechanics
journal, November 2017

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

QCD and instantons at finite temperature
journal, January 1981

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

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

Wilson line in finite-temperature gauge theories
journal, May 1982

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

Yang-Mills theories with chiral matter at strong coupling
journal, May 2009

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

All Possible Symmetries of the $S$ Matrix
journal, July 1967

Periodic instantons with non-trivial holonomy
journal, November 1998

Thermal properties of gauge fields and quark liberation
journal, January 1978

Deconfinement in Yang-Mills theory through toroidal compactification with deformation
journal, May 2012

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

Metastable vacuum decay in center-stabilized Yang-Mills theory at large $N$
journal, November 2014

Exploring 2-group global symmetries
journal, February 2019