Universality between vector-like and chiral quiver gauge theories: anomalies and domain walls

Sulejmanpasic, Tin; Tanizaki, Yuya; Ünsal, Mithat

doi:10.1007/JHEP06(2020)173

Title: Universality between vector-like and chiral quiver gauge theories: anomalies and domain walls

Abstract

We study low-energy dynamics of [SU($$\textit{N}$$)]$^K$ chiral quiver gauge theories in connection with $$\mathcal{N}$$ = 1 super Yang-Mills (SYM) theory, and quantum chromodynamics with bi-fundamental fermions (QCD(BF)). These theories can be obtained by $$\mathbb Z_K$$ orbifold projections of $$\mathcal{N}$$ = 1 SU($$\textit{N K}$$) SYM theory, but the perturbative planar equivalence does not extend nonperturbatively for $$\textit{K}$$ ≥ 3. In order to study low-energy behaviors, we analyze these systems using ’t Hooft anomaly matching and reliable semiclassics on $$\mathbb R^3 × S^1$$. Thanks to ’t Hooft anomaly that involves 1-form center symmetry and discrete chiral symmetry, we predict that chiral symmetry must be spontaneously broken in the confinement phase, and there exist $$\textit{N}$$ vacua. Theories with even $$\textit{K}$$ possess a physical θ angle despite the presence of massless fermions, and we further predict the $$\textit{N}$$-branch structure associated with it; the number of vacua is enhanced to 2$$\textit{N}$$ at θ = π due to spontaneous $$\textit{C P}$$ breaking. Both of these predictions are explicitly confirmed by reliable semiclassics on $$\mathbb R^3 × S^1$$ with the double-trace deformation. Symmetry and anomaly of odd-$$\textit{K}$$ theories are the same as those of the $$\mathcal{N}$$ = 1 SYM, and the ones of even-$$\textit{K}$$ theories are same as those of QCD(BF). We unveil why there exists universality between vector-like and chiral quiver theories, and conjecture that their ground states can be continuously deformed without quantum phase transitions. We briefly discuss anomaly inflow on the domain walls connecting the vacua of the theory and possible anomaly matching scenarios.

Authors:

Sulejmanpasic, Tin ^[1];

^[2]; Ünsal, Mithat ^[3]

Durham Univ. (United Kingdom). Dept. of Mathematical Sciences
Kyoto Univ. (Japan). Yukawa Inst. for Theoretical Physics; North Carolina State Univ., Raleigh, NC (United States). Dept. of Physics
North Carolina State Univ., Raleigh, NC (United States). Dept. of Physics

Publication Date:: Mon Jun 29 00:00:00 EDT 2020

Research Org.:: North Carolina State University, Raleigh, NC (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP); Japan Society for the Promotion of Science (JSPS)

OSTI Identifier:: 1646642

Grant/Contract Number:: SC0013036

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: 2020; Journal Issue: 6; Journal ID: ISSN 1029-8479

Publisher:: Springer Nature

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Anomalies in Field and String Theories; Con nement; Spontaneous Symmetry Breaking; Topological States of Matter

Citation Formats


                    Sulejmanpasic, Tin, Tanizaki, Yuya, and Ünsal, Mithat. Universality between vector-like and chiral quiver gauge theories: anomalies and domain walls.  United States: N. p., 2020. 
Web.  doi:10.1007/JHEP06(2020)173.

Copy to clipboard


                    Sulejmanpasic, Tin, Tanizaki, Yuya, & Ünsal, Mithat. Universality between vector-like and chiral quiver gauge theories: anomalies and domain walls.  United States.  https://doi.org/10.1007/JHEP06(2020)173

Copy to clipboard


                    Sulejmanpasic, Tin, Tanizaki, Yuya, and Ünsal, Mithat. Mon .  
"Universality between vector-like and chiral quiver gauge theories: anomalies and domain walls".  United States.  https://doi.org/10.1007/JHEP06(2020)173.  https://www.osti.gov/servlets/purl/1646642.

Copy to clipboard


                    
@article{osti_1646642,

  title        = {Universality between vector-like and chiral quiver gauge theories: anomalies and domain walls},

  author       = {Sulejmanpasic, Tin and Tanizaki, Yuya and Ünsal, Mithat},

  abstractNote = {We study low-energy dynamics of [SU($\textit{N}$)]$^K$ chiral quiver gauge theories in connection with $\mathcal{N}$ = 1 super Yang-Mills (SYM) theory, and quantum chromodynamics with bi-fundamental fermions (QCD(BF)). These theories can be obtained by $\mathbb Z_K$ orbifold projections of $\mathcal{N}$ = 1 SU($\textit{N K}$) SYM theory, but the perturbative planar equivalence does not extend nonperturbatively for $\textit{K}$ ≥ 3. In order to study low-energy behaviors, we analyze these systems using ’t Hooft anomaly matching and reliable semiclassics on $\mathbb R^3 × S^1$. Thanks to ’t Hooft anomaly that involves 1-form center symmetry and discrete chiral symmetry, we predict that chiral symmetry must be spontaneously broken in the confinement phase, and there exist $\textit{N}$ vacua. Theories with even $\textit{K}$ possess a physical θ angle despite the presence of massless fermions, and we further predict the $\textit{N}$-branch structure associated with it; the number of vacua is enhanced to 2$\textit{N}$ at θ = π due to spontaneous $\textit{C P}$ breaking. Both of these predictions are explicitly confirmed by reliable semiclassics on $\mathbb R^3 × S^1$ with the double-trace deformation. Symmetry and anomaly of odd-$\textit{K}$ theories are the same as those of the $\mathcal{N}$ = 1 SYM, and the ones of even-$\textit{K}$ theories are same as those of QCD(BF). We unveil why there exists universality between vector-like and chiral quiver theories, and conjecture that their ground states can be continuously deformed without quantum phase transitions. We briefly discuss anomaly inflow on the domain walls connecting the vacua of the theory and possible anomaly matching scenarios.},

  doi          = {10.1007/JHEP06(2020)173},

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

  number       = 6,

  volume       = 2020,

  place        = {United States},

  year         = {Mon Jun 29 00:00:00 EDT 2020},

  month        = {Mon Jun 29 00:00:00 EDT 2020}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1007/JHEP06(2020)173

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 10 works

Citation information provided by
Web of Science

Figures / Tables:

Figure 1: Simplest examples of chiral quiver theories with odd (K = 3) and even (K = 4) number of sites. The symmetries, symmetry realizations and anomalies of the K odd quiver theories are same as vector-like $\mathcal{N}$ = 1 SYM, and the one of the K even theories aremore »

All figures and tables (1 total)

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

(De)Constructing Dimensions
journal, May 2001

Arkani-Hamed, Nima; Cohen, Andrew G.; Georgi, Howard
Physical Review Letters, Vol. 86, Issue 21
DOI: 10.1103/PhysRevLett.86.4757

Braves and the dynamics of QCD
journal, December 1997

Witten, Edward
Nuclear Physics B, Vol. 507, Issue 3
DOI: 10.1016/S0550-3213(97)00648-2

An L2-Index Theorem for Dirac Operators on S1×R3
journal, October 2000

Nye, Tom M. W.; Singer, Michael A.
Journal of Functional Analysis, Vol. 177, Issue 1
DOI: 10.1006/jfan.2000.3648

Global aspects of current algebra
journal, August 1983

Witten, Edward
Nuclear Physics B, Vol. 223, Issue 2
DOI: 10.1016/0550-3213(83)90063-9

Strings, monopoles, and gauge fields
journal, December 1974

Nambu, Y.
Physical Review D, Vol. 10, Issue 12
DOI: 10.1103/PhysRevD.10.4262

Dynamical generation of supersymmetry
journal, March 1984

Kaplan, David B.
Physics Letters B, Vol. 136, Issue 3
DOI: 10.1016/0370-2693(84)91172-9

$θ$ dependence in trace deformed $S U (3)$ Yang-Mills theory: A lattice study
journal, September 2018

Bonati, Claudio; Cardinali, Marco; D’Elia, Massimo
Physical Review D, Vol. 98, Issue 5
DOI: 10.1103/PhysRevD.98.054508

4D Conformal Field Theories and Strings on Orbifolds
journal, June 1998

Kachru, Shamit; Silverstein, Eva
Physical Review Letters, Vol. 80, Issue 22
DOI: 10.1103/PhysRevLett.80.4855

Large N limit of orbifold field theories
journal, December 1998

Bershadsky, Michael; Johansen, Andrei
Nuclear Physics B, Vol. 536, Issue 1-2
DOI: 10.1016/S0550-3213(98)00526-4

Duality of nonsupersymmetric large N gauge theories
journal, April 1999

Schmaltz, Martin
Physical Review D, Vol. 59, Issue 10
DOI: 10.1103/PhysRevD.59.105018

Necessary and sufficient conditions for non-perturbative equivalences of large N _c orbifold gauge theories
journal, July 2005

Kovtun, Pavel; Ünsal, Mithat; Yaffe, Laurence G.
Journal of High Energy Physics, Vol. 2005, Issue 07
DOI: 10.1088/1126-6708/2005/07/008

Can large $N_{c}$ equivalence between supersymmetric Yang-Mills theory and its orbifold projections be valid?
journal, November 2005

Kovtun, Pavel; Ünsal, Mithat; Yaffe, Laurence G.
Physical Review D, Vol. 72, Issue 10
DOI: 10.1103/PhysRevD.72.105006

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

Kovtun, Pavel; Ünsal, Mithat; Yaffe, Laurence G.
Journal of High Energy Physics, Vol. 2007, Issue 06
DOI: 10.1088/1126-6708/2007/06/019

Spontaneous $Z_{2}$ symmetry breaking in the orbifold daughter of $N = 1$ super-Yang-Mills theory, fractional domain walls and vacuum structure
journal, November 2005

Armoni, A.; Gorsky, A.; Shifman, M.
Physical Review D, Vol. 72, Issue 10
DOI: 10.1103/PhysRevD.72.105001

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

Naturalness, Chiral Symmetry, and Spontaneous Chiral Symmetry Breaking
book, January 1980

Hooft, G. ’t
Recent Developments in Gauge Theories
DOI: 10.1007/978-1-4684-7571-5_9

The axial anomaly and the bound-state spectrum in confining theories
journal, January 1981

Frishman, Y.; Schwimmer, A.; Banks, T.
Nuclear Physics B, Vol. 177, Issue 1
DOI: 10.1016/0550-3213(81)90268-6

Classifying gauge anomalies through symmetry-protected trivial orders and classifying gravitational anomalies through topological orders
journal, August 2013

Wen, Xiao-Gang
Physical Review D, Vol. 88, Issue 4
DOI: 10.1103/PhysRevD.88.045013

Anomalous Discrete Symmetries in Three Dimensions and Group Cohomology
journal, June 2014

Kapustin, Anton; Thorngren, Ryan
Physical Review Letters, Vol. 112, Issue 23
DOI: 10.1103/PhysRevLett.112.231602

Conflicting symmetries in topologically ordered surface states of three-dimensional bosonic symmetry protected topological phases
journal, June 2014

Cho, Gil Young; Teo, Jeffrey C. Y.; Ryu, Shinsei
Physical Review B, Vol. 89, Issue 23
DOI: 10.1103/PhysRevB.89.235103

The “parity” anomaly on an unorientable manifold
journal, November 2016

Witten, Edward
Physical Review B, Vol. 94, Issue 19
DOI: 10.1103/PhysRevB.94.195150

On time-reversal anomaly of 2+1d topological phases
journal, March 2017

Tachikawa, Yuji; Yonekura, Kazuya
Progress of Theoretical and Experimental Physics, Vol. 2017, Issue 3
DOI: 10.1093/ptep/ptx010

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

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

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

Comments on abelian Higgs models and persistent order
journal, January 2019

Komargodski, Zohar; Sharon, Adar; Thorngren, Ryan
SciPost Physics, Vol. 6, Issue 1
DOI: 10.21468/SciPostPhys.6.1.003

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

Komargodski, Zohar; Sulejmanpasic, Tin; Ünsal, Mithat
Physical Review B, Vol. 97, Issue 5
DOI: 10.1103/PhysRevB.97.054418

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

Shimizu, Hiroyuki; Yonekura, Kazuya
Physical Review D, Vol. 97, Issue 10
DOI: 10.1103/PhysRevD.97.105011

Symmetric Gapped Interfaces of SPT and SET States: Systematic Constructions
journal, August 2018

Wang, Juven; Wen, Xiao-Gang; Witten, Edward
Physical Review X, Vol. 8, Issue 3
DOI: 10.1103/PhysRevX.8.031048

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

Circle compactification and ’t Hooft anomaly
journal, December 2017

Tanizaki, Yuya; Misumi, Tatsuhiro; Sakai, Norisuke
Journal of High Energy Physics, Vol. 2017, Issue 12
DOI: 10.1007/JHEP12(2017)056

Anomaly matching for the phase diagram of massless $Z_{N}$ -QCD
journal, March 2018

Tanizaki, Yuya; Kikuchi, Yuta; Misumi, Tatsuhiro
Physical Review D, Vol. 97, Issue 5
DOI: 10.1103/PhysRevD.97.054012

Relating ’t Hooft anomalies of 4d pure Yang-Mills and 2d ℂℙN− 1 model
journal, October 2018

Yamazaki, Masahito
Journal of High Energy Physics, Vol. 2018, Issue 10
DOI: 10.1007/JHEP10(2018)172

Time reversal, $S U (N)$ Yang–Mills and cobordisms: Interacting topological superconductors/insulators and quantum spin liquids in $3 + 1 D$
journal, July 2018

Guo, Meng; Putrov, Pavel; Wang, Juven
Annals of Physics, Vol. 394
DOI: 10.1016/j.aop.2018.04.025

$C − P − T$ anomaly matching in bosonic quantum field theory and spin chains
journal, April 2018

Sulejmanpasic, Tin; Tanizaki, Yuya
Physical Review B, Vol. 97, Issue 14
DOI: 10.1103/PhysRevB.97.144201

Anomaly and global inconsistency matching: $θ$ angles, $S U (3) / U {(1)}^{2}$ nonlinear sigma model, $S U (3)$ chains, and generalizations
journal, September 2018

Tanizaki, Yuya; Sulejmanpasic, Tin
Physical Review B, Vol. 98, Issue 11
DOI: 10.1103/PhysRevB.98.115126

Anomaly Matching and Symmetry-Protected Critical Phases in $S U (N)$ Spin Systems in $1 + 1$ Dimensions
journal, October 2019

Yao, Yuan; Hsieh, Chang-Tse; Oshikawa, Masaki
Physical Review Letters, Vol. 123, Issue 18
DOI: 10.1103/PhysRevLett.123.180201

Anomaly constraint on massless QCD and the role of Skyrmions in chiral symmetry breaking
journal, August 2018

Tanizaki, Yuya
Journal of High Energy Physics, Vol. 2018, Issue 8
DOI: 10.1007/JHEP08(2018)171

’t Hooft anomaly matching condition and chiral symmetry breaking without bilinear condensate
journal, January 2019

Yamaguchi, Satoshi
Journal of High Energy Physics, Vol. 2019, Issue 1
DOI: 10.1007/JHEP01(2019)014

Anomaly matching, (axial) Schwinger models, and high-T super Yang-Mills domain walls
journal, September 2018

Anber, Mohamed M.; Poppitz, Erich
Journal of High Energy Physics, Vol. 2018, Issue 9
DOI: 10.1007/JHEP09(2018)076

Vacuum structure of charge k two-dimensional QED and dynamics of an anti D-string near an O1−-plane
journal, March 2019

Armoni, Adi; Sugimoto, Shigeki
Journal of High Energy Physics, Vol. 2019, Issue 3
DOI: 10.1007/JHEP03(2019)175

Anomaly matching in QCD thermal phase transition
journal, May 2019

Yonekura, Kazuya
Journal of High Energy Physics, Vol. 2019, Issue 5
DOI: 10.1007/JHEP05(2019)062

High-temperature domain walls of QCD with imaginary chemical potentials
journal, June 2019

Nishimura, Hiromichi; Tanizaki, Yuya
Journal of High Energy Physics, Vol. 2019, Issue 6
DOI: 10.1007/JHEP06(2019)040

Anomalies in the space of coupling constants and their dynamical applications I
journal, January 2020

Cordova, Clay; Freed, Daniel; Lam, Ho Tat
SciPost Physics, Vol. 8, Issue 1
DOI: 10.21468/SciPostPhys.8.1.001

Anomalies in the space of coupling constants and their dynamical applications II
journal, January 2020

Cordova, Clay; Freed, Daniel; Lam, Ho Tat
SciPost Physics, Vol. 8, Issue 1
DOI: 10.21468/SciPostPhys.8.1.002

Anomalies, a mod 2 index, and dynamics of 2d adjoint QCD
journal, January 2020

Cherman, Aleksey; Jacobson, Theo; Tanizaki, Yuya
SciPost Physics, Vol. 8, Issue 5
DOI: 10.21468/SciPostPhys.8.5.072

Gauging 1-form center symmetries in simple SU(N) gauge theories
journal, January 2020

Bolognesi, Stefano; Konishi, Kenichi; Luzio, Andrea
Journal of High Energy Physics, Vol. 2020, Issue 1
DOI: 10.1007/JHEP01(2020)048

Modified instanton sum in QCD and higher-groups
journal, March 2020

Tanizaki, Yuya; Ünsal, Mithat
Journal of High Energy Physics, Vol. 2020, Issue 3
DOI: 10.1007/JHEP03(2020)123

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

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

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

Seiberg-Witten and “Polyakov-like” magnetic bion confinements are continuously connected
journal, July 2011

Poppitz, Erich; Ünsal, Mithat
Journal of High Energy Physics, Vol. 2011, Issue 7
DOI: 10.1007/JHEP07(2011)082

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

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

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

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

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

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

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

Eguchi, Tohru; Kawai, Hikaru
Physical Review Letters, Vol. 48, Issue 16
DOI: 10.1103/PhysRevLett.48.1063

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

Gonzalez-Arroyo, A.; Okawa, M.
Physical Review D, Vol. 27, Issue 10
DOI: 10.1103/PhysRevD.27.2397

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

Gonzalez-Arroyo, A.; Okawa, M.
Physics Letters B, Vol. 120, Issue 1-3
DOI: 10.1016/0370-2693(83)90647-0

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

Monopoles, affine algebras and the gluino condensate
journal, August 2003

Davies, N. Michael; Hollowood, Timothy J.; Khoze, Valentin V.
Journal of Mathematical Physics, Vol. 44, Issue 8
DOI: 10.1063/1.1586477

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

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

Index theorem for topological excitations on R ³ × S ¹ and Chern-Simons theory
journal, March 2009

Poppitz, Erich; Ünsal, Mithat
Journal of High Energy Physics, Vol. 2009, Issue 03
DOI: 10.1088/1126-6708/2009/03/027

Generalized ’t Hooft anomalies on non-spin manifolds
journal, April 2020

Anber, Mohamed M.; Poppitz, Erich
Journal of High Energy Physics, Vol. 2020, Issue 4
DOI: 10.1007/JHEP04(2020)097

The bi-fundamental gauge theory in 3+1 dimensions: the vacuum structure and a cascade
journal, May 2019

Karasik, Avner; Komargodski, Zohar
Journal of High Energy Physics, Vol. 2019, Issue 5
DOI: 10.1007/JHEP05(2019)144

Hidden Topological Angles in Path Integrals
journal, July 2015

Behtash, Alireza; Sulejmanpasic, Tin; Schäfer, Thomas
Physical Review Letters, Vol. 115, Issue 4
DOI: 10.1103/PhysRevLett.115.041601

The curious incident of multi-instantons and the necessity of Lefschetz thimbles
journal, November 2015

Behtash, Alireza; Poppitz, Erich; Sulejmanpasic, Tin
Journal of High Energy Physics, Vol. 2015, Issue 11
DOI: 10.1007/JHEP11(2015)175

Complexified Path Integrals, Exact Saddles, and Supersymmetry
journal, January 2016

Behtash, Alireza; Dunne, Gerald V.; Schäfer, Thomas
Physical Review Letters, Vol. 116, Issue 1
DOI: 10.1103/PhysRevLett.116.011601

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
DOI: 10.1007/s00220-018-3281-y

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

Vafa, C.; Witten, E.
Nuclear Physics B, Vol. 234, Issue 1
DOI: 10.1016/0550-3213(84)90230-X

A tool kit for builders of composite models
journal, March 1986

Georgi, Howard
Nuclear Physics B, Vol. 266, Issue 2
DOI: 10.1016/0550-3213(86)90092-1

Consequences of anomalous ward identities
journal, November 1971

Wess, J.; Zumino, B.
Physics Letters B, Vol. 37, Issue 1
DOI: 10.1016/0370-2693(71)90582-X

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

Confinement in the Bulk, Deconfinement on the Wall: Infrared Equivalence between Compactified QCD and Quantum Magnets
journal, September 2017

Sulejmanpasic, Tin; Shao, Hui; Sandvik, Anders W.
Physical Review Letters, Vol. 119, Issue 9
DOI: 10.1103/PhysRevLett.119.091601

Electric-magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory
journal, September 1994

Seiberg, N.; Witten, E.
Nuclear Physics B, Vol. 426, Issue 1
DOI: 10.1016/0550-3213(94)90124-4

Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD
journal, December 1994

Seiberg, N.; Witten, E.
Nuclear Physics B, Vol. 431, Issue 3
DOI: 10.1016/0550-3213(94)90214-3

Soliton quantization in gauge theories
journal, May 1976

Tomboulis, E.; Woo, G.
Nuclear Physics B, Vol. 107, Issue 2
DOI: 10.1016/0550-3213(76)90298-4

II. Vortices and quark confinement in non-Abelian gauge theories
journal, February 1976

Mandelstam, S.
Physics Reports, Vol. 23, Issue 3
DOI: 10.1016/0370-1573(76)90043-0

Topology of the gauge condition and new confinement phases in non-abelian gauge theories
journal, October 1981

Hooft, G. 't
Nuclear Physics B, Vol. 190, Issue 3
DOI: 10.1016/0550-3213(81)90442-9

Domain walls and deconfinement: a semiclassical picture of discrete anomaly inflow
journal, December 2019

Cox, Andrew A.; Poppitz, Erich; Wong, Samuel S. Y.
Journal of High Energy Physics, Vol. 2019, Issue 12
DOI: 10.1007/JHEP12(2019)011

Charge violation by instantons in Chern-Simons theories
journal, April 1992

Lee, Kimyeong
Nuclear Physics B, Vol. 373, Issue 3
DOI: 10.1016/0550-3213(92)90273-E

Monopoles in topologically massive gauge theories
journal, December 1986

Pisarski, Robert D.
Physical Review D, Vol. 34, Issue 12
DOI: 10.1103/PhysRevD.34.3851

Chern-Simons gauge theories, confinement, and the chiral spin liquid
journal, January 1991

Fradkin, Eduardo; Schaposnik, Fidel A.
Physical Review Letters, Vol. 66, Issue 3
DOI: 10.1103/PhysRevLett.66.276

The Chern-Simons term versus the monopole
journal, December 1989

Affleck, Ian; Harvey, Jeffrey; Palla, Laszlo
Nuclear Physics B, Vol. 328, Issue 3
DOI: 10.1016/0550-3213(89)90220-4

Figures / Tables found in this record:

Figure 1 (p. 3)

Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.

Similar Records in DOE PAGES and OSTI.GOV collections:

Semiclassics with ’t Hooft flux background for QCD with 2-index quarks

Journal Article Tanizaki, Yuya ; Ünsal, Mithat - Journal of High Energy Physics (Online)

We study quantum chromodynamics including the two-index symmetric or anti-symmetric quark (QCD(Sym/ASym)) on smallmore »« less
https://doi.org/10.1007/jhep08(2022)038

Full Text Available
Anomalies, a mod 2 index, and dynamics of 2d adjoint QCD

Journal Article Cherman, Aleksey ; Jacobson, Theo ; Tanizaki, Yuya ; ... - SciPost Physics

We smore »« less
Cited by 24
https://doi.org/10.21468/SciPostPhys.8.5.072
Modified instanton sum in QCD and higher-groups

Journal Article Tanizaki, Yuya ; Ünsal, Mithat - Journal of High Energy Physics (Online)

We consider the SU(N) Yang-Mills theory, whose topological sectors are restricted to the instanton number with integer multiples of p. We can formulate such a quantum field theory maintaining locality and unitarity, and the model contains both 2π-periodic scalar and 3-form gauge fields. This can be interpreted as coupling a topological theory to Yang-Mills theory, so the local dynamics becomes identical with that of pure Yang-Mills theory. The theory has not onlymore »« less
https://doi.org/10.1007/jhep03(2020)123

Full Text Available
Comments on one-form global symmetries and their gauging in 3d and 4d

Journal Article Hsin, Po-Shen ; Lam, Ho Tat ; Seiberg, Nathan - SciPost Physics Proceedings

We smore »« less
Cited by 58
https://doi.org/10.21468/SciPostPhys.6.3.039
Phases of N=\infty Gauge Theories on S^3 \times S^1 and Nonperturbative Orbifold-orientifold Equivalences

Journal Article Unsal, Mithat - Physical Review D

We study the phase diagrams of N = {infinity} vector-like, asymptotically free gauge theories as a function of volume, on S{sup 3} x S{sup 1}. The theories of interest are the ones with fermions in two index representations [adjoint, (anti)symmetric, and bifundamental abbreviated as QCD(adj), QCD(AS/S) and QCD(BF)], and are interrelated via orbifold or orientifold projections. The phase diagrams reveal interesting phenomena such as disentangled realizations of chiral and center symmetry, confinement without chiral symmetry breaking, zero temperature chiral transitions, and in some cases, exotic phases which spontaneously break the discrete symmetries such as C, P, T as well asmore »« less
Full Text Available

Similar Records

Title: Universality between vector-like and chiral quiver gauge theories: anomalies and domain walls

Abstract

Citation Formats

Figures / Tables:

(De)Constructing Dimensions journal, May 2001

Braves and the dynamics of QCD journal, December 1997

An L2-Index Theorem for Dirac Operators on S1×R3 journal, October 2000

Global aspects of current algebra journal, August 1983

Strings, monopoles, and gauge fields journal, December 1974

Dynamical generation of supersymmetry journal, March 1984

θ dependence in trace deformed S U ( 3 ) Yang-Mills theory: A lattice study journal, September 2018

4D Conformal Field Theories and Strings on Orbifolds journal, June 1998

Large N limit of orbifold field theories journal, December 1998

Duality of nonsupersymmetric large N gauge theories journal, April 1999

Necessary and sufficient conditions for non-perturbative equivalences of large N c orbifold gauge theories journal, July 2005

Can large N c equivalence between supersymmetric Yang-Mills theory and its orbifold projections be valid? journal, November 2005

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

Spontaneous Z 2 symmetry breaking in the orbifold daughter of N = 1 super-Yang-Mills theory, fractional domain walls and vacuum structure journal, November 2005

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

Naturalness, Chiral Symmetry, and Spontaneous Chiral Symmetry Breaking book, January 1980

The axial anomaly and the bound-state spectrum in confining theories journal, January 1981

Classifying gauge anomalies through symmetry-protected trivial orders and classifying gravitational anomalies through topological orders journal, August 2013

Anomalous Discrete Symmetries in Three Dimensions and Group Cohomology journal, June 2014

Conflicting symmetries in topologically ordered surface states of three-dimensional bosonic symmetry protected topological phases journal, June 2014

The “parity” anomaly on an unorientable manifold journal, November 2016

On time-reversal anomaly of 2+1d topological phases journal, March 2017

Theta, time reversal and temperature journal, May 2017

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

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

Comments on abelian Higgs models and persistent order journal, January 2019

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

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

Symmetric Gapped Interfaces of SPT and SET States: Systematic Constructions journal, August 2018

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

Circle compactification and ’t Hooft anomaly journal, December 2017

Anomaly matching for the phase diagram of massless Z N -QCD journal, March 2018

Relating ’t Hooft anomalies of 4d pure Yang-Mills and 2d ℂℙN− 1 model journal, October 2018

Time reversal, S U ( N ) Yang–Mills and cobordisms: Interacting topological superconductors/insulators and quantum spin liquids in 3 + 1 D journal, July 2018

C − P − T anomaly matching in bosonic quantum field theory and spin chains journal, April 2018

Anomaly and global inconsistency matching: θ angles, S U ( 3 ) / U ( 1 ) 2 nonlinear sigma model, S U ( 3 ) chains, and generalizations journal, September 2018

Anomaly Matching and Symmetry-Protected Critical Phases in S U ( N ) Spin Systems in 1 + 1 Dimensions journal, October 2019

Anomaly constraint on massless QCD and the role of Skyrmions in chiral symmetry breaking journal, August 2018

’t Hooft anomaly matching condition and chiral symmetry breaking without bilinear condensate journal, January 2019

Anomaly matching, (axial) Schwinger models, and high-T super Yang-Mills domain walls journal, September 2018

Vacuum structure of charge k two-dimensional QED and dynamics of an anti D-string near an O1−-plane journal, March 2019

Anomaly matching in QCD thermal phase transition journal, May 2019

High-temperature domain walls of QCD with imaginary chemical potentials journal, June 2019

Anomalies in the space of coupling constants and their dynamical applications I journal, January 2020

Anomalies in the space of coupling constants and their dynamical applications II journal, January 2020

Anomalies, a mod 2 index, and dynamics of 2d adjoint QCD journal, January 2020

Gauging 1-form center symmetries in simple SU(N) gauge theories journal, January 2020

Modified instanton sum in QCD and higher-groups journal, March 2020

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

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

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

Seiberg-Witten and “Polyakov-like” magnetic bion confinements are continuously connected journal, July 2011

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

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

Semiclassical Realization of Infrared Renormalons journal, September 2012

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

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

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

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

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

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

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

Monopoles, affine algebras and the gluino condensate journal, August 2003

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

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

Index theorem for topological excitations on R 3 × S 1 and Chern-Simons theory journal, March 2009

Generalized ’t Hooft anomalies on non-spin manifolds journal, April 2020

The bi-fundamental gauge theory in 3+1 dimensions: the vacuum structure and a cascade journal, May 2019

Hidden Topological Angles in Path Integrals journal, July 2015

The curious incident of multi-instantons and the necessity of Lefschetz thimbles journal, November 2015

Complexified Path Integrals, Exact Saddles, and Supersymmetry journal, January 2016

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

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

A tool kit for builders of composite models journal, March 1986

Consequences of anomalous ward identities journal, November 1971

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

(De)Constructing Dimensions
journal, May 2001

Braves and the dynamics of QCD
journal, December 1997

An L2-Index Theorem for Dirac Operators on S1×R3
journal, October 2000

Global aspects of current algebra
journal, August 1983

Strings, monopoles, and gauge fields
journal, December 1974

Dynamical generation of supersymmetry
journal, March 1984

$θ$ dependence in trace deformed $S U (3)$ Yang-Mills theory: A lattice study
journal, September 2018

4D Conformal Field Theories and Strings on Orbifolds
journal, June 1998

Large N limit of orbifold field theories
journal, December 1998

Duality of nonsupersymmetric large N gauge theories
journal, April 1999

Necessary and sufficient conditions for non-perturbative equivalences of large N _c orbifold gauge theories
journal, July 2005

Can large $N_{c}$ equivalence between supersymmetric Yang-Mills theory and its orbifold projections be valid?
journal, November 2005

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

Spontaneous $Z_{2}$ symmetry breaking in the orbifold daughter of $N = 1$ super-Yang-Mills theory, fractional domain walls and vacuum structure
journal, November 2005

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

Naturalness, Chiral Symmetry, and Spontaneous Chiral Symmetry Breaking
book, January 1980

The axial anomaly and the bound-state spectrum in confining theories
journal, January 1981

Classifying gauge anomalies through symmetry-protected trivial orders and classifying gravitational anomalies through topological orders
journal, August 2013

Anomalous Discrete Symmetries in Three Dimensions and Group Cohomology
journal, June 2014

Conflicting symmetries in topologically ordered surface states of three-dimensional bosonic symmetry protected topological phases
journal, June 2014

The “parity” anomaly on an unorientable manifold
journal, November 2016

On time-reversal anomaly of 2+1d topological phases
journal, March 2017

Theta, time reversal and temperature
journal, May 2017

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

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

Comments on abelian Higgs models and persistent order
journal, January 2019

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

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

Symmetric Gapped Interfaces of SPT and SET States: Systematic Constructions
journal, August 2018

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

Circle compactification and ’t Hooft anomaly
journal, December 2017

Anomaly matching for the phase diagram of massless $Z_{N}$ -QCD
journal, March 2018

Relating ’t Hooft anomalies of 4d pure Yang-Mills and 2d ℂℙN− 1 model
journal, October 2018

Time reversal, $S U (N)$ Yang–Mills and cobordisms: Interacting topological superconductors/insulators and quantum spin liquids in $3 + 1 D$
journal, July 2018

$C − P − T$ anomaly matching in bosonic quantum field theory and spin chains
journal, April 2018

Anomaly and global inconsistency matching: $θ$ angles, $S U (3) / U {(1)}^{2}$ nonlinear sigma model, $S U (3)$ chains, and generalizations
journal, September 2018

Anomaly Matching and Symmetry-Protected Critical Phases in $S U (N)$ Spin Systems in $1 + 1$ Dimensions
journal, October 2019

Anomaly constraint on massless QCD and the role of Skyrmions in chiral symmetry breaking
journal, August 2018

’t Hooft anomaly matching condition and chiral symmetry breaking without bilinear condensate
journal, January 2019

Anomaly matching, (axial) Schwinger models, and high-T super Yang-Mills domain walls
journal, September 2018

Vacuum structure of charge k two-dimensional QED and dynamics of an anti D-string near an O1−-plane
journal, March 2019

Anomaly matching in QCD thermal phase transition
journal, May 2019

High-temperature domain walls of QCD with imaginary chemical potentials
journal, June 2019

Anomalies in the space of coupling constants and their dynamical applications I
journal, January 2020

Anomalies in the space of coupling constants and their dynamical applications II
journal, January 2020

Anomalies, a mod 2 index, and dynamics of 2d adjoint QCD
journal, January 2020

Gauging 1-form center symmetries in simple SU(N) gauge theories
journal, January 2020

Modified instanton sum in QCD and higher-groups
journal, March 2020

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

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

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

Seiberg-Witten and “Polyakov-like” magnetic bion confinements are continuously connected
journal, July 2011

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

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

Semiclassical Realization of Infrared Renormalons
journal, September 2012

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

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

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

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

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

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

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

Monopoles, affine algebras and the gluino condensate
journal, August 2003

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

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

Index theorem for topological excitations on R ³ × S ¹ and Chern-Simons theory
journal, March 2009

Generalized ’t Hooft anomalies on non-spin manifolds
journal, April 2020

The bi-fundamental gauge theory in 3+1 dimensions: the vacuum structure and a cascade
journal, May 2019

Hidden Topological Angles in Path Integrals
journal, July 2015

The curious incident of multi-instantons and the necessity of Lefschetz thimbles
journal, November 2015

Complexified Path Integrals, Exact Saddles, and Supersymmetry
journal, January 2016

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

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

A tool kit for builders of composite models
journal, March 1986

Consequences of anomalous ward identities
journal, November 1971

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

Confinement in the Bulk, Deconfinement on the Wall: Infrared Equivalence between Compactified QCD and Quantum Magnets
journal, September 2017

Electric-magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory
journal, September 1994

Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD
journal, December 1994

Soliton quantization in gauge theories
journal, May 1976