skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Anomalies in the space of coupling constants and their dynamical applications II

Abstract

We extend our earlier work on anomalies in the space of coupling constants to four-dimensional gauge theories. Pure Yang-Mills theory (without matter) with a simple and simply connected gauge group has a mixed anomaly between its one-form global symmetry (associated with the center) and the periodicity of the \theta θ -parameter. This anomaly is at the root of many recently discovered properties of these theories, including their phase transitions and interfaces. These new anomalies can be used to extend this understanding to systems without discrete symmetries (such as time-reversal). We also study SU(N) S U ( N ) and Sp(N) S p ( N ) gauge theories with matter in the fundamental representation. Here we find a mixed anomaly between the flavor symmetry group and the \theta θ -periodicity. Again, this anomaly unifies distinct recently-discovered phenomena in these theories and controls phase transitions and the dynamics on interfaces.

Authors:
 [1];  [2];  [3];  [1]
  1. Institute for Advanced Study, Princeton University
  2. The University of Texas at Austin
  3. Princeton University
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1581450
Grant/Contract Number:  
SC0009988
Resource Type:
Published Article
Journal Name:
SciPost Physics Proceedings
Additional Journal Information:
Journal Name: SciPost Physics Proceedings Journal Volume: 8 Journal Issue: 1; Journal ID: ISSN 2542-4653
Publisher:
Stichting SciPost
Country of Publication:
Netherlands
Language:
English

Citation Formats

Cordova, Clay, Freed, Daniel, Lam, Ho Tat, and Seiberg, Nathan. Anomalies in the space of coupling constants and their dynamical applications II. Netherlands: N. p., 2020. Web. doi:10.21468/SciPostPhys.8.1.002.
Cordova, Clay, Freed, Daniel, Lam, Ho Tat, & Seiberg, Nathan. Anomalies in the space of coupling constants and their dynamical applications II. Netherlands. doi:10.21468/SciPostPhys.8.1.002.
Cordova, Clay, Freed, Daniel, Lam, Ho Tat, and Seiberg, Nathan. Tue . "Anomalies in the space of coupling constants and their dynamical applications II". Netherlands. doi:10.21468/SciPostPhys.8.1.002.
@article{osti_1581450,
title = {Anomalies in the space of coupling constants and their dynamical applications II},
author = {Cordova, Clay and Freed, Daniel and Lam, Ho Tat and Seiberg, Nathan},
abstractNote = {We extend our earlier work on anomalies in the space of coupling constants to four-dimensional gauge theories. Pure Yang-Mills theory (without matter) with a simple and simply connected gauge group has a mixed anomaly between its one-form global symmetry (associated with the center) and the periodicity of the \theta θ -parameter. This anomaly is at the root of many recently discovered properties of these theories, including their phase transitions and interfaces. These new anomalies can be used to extend this understanding to systems without discrete symmetries (such as time-reversal). We also study SU(N) S U ( N ) and Sp(N) S p ( N ) gauge theories with matter in the fundamental representation. Here we find a mixed anomaly between the flavor symmetry group and the \theta θ -periodicity. Again, this anomaly unifies distinct recently-discovered phenomena in these theories and controls phase transitions and the dynamics on interfaces.},
doi = {10.21468/SciPostPhys.8.1.002},
journal = {SciPost Physics Proceedings},
number = 1,
volume = 8,
place = {Netherlands},
year = {2020},
month = {1}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.21468/SciPostPhys.8.1.002

Save / Share:

Works referenced in this record:

Order Parameters and Color-Flavor Center Symmetry in QCD
journal, November 2017


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

Anomaly matching in QCD thermal phase transition
journal, May 2019


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

Some Features of Chiral Symmetry Breaking
journal, April 1971


Comments on one-form global symmetries and their gauging in 3d and 4d
journal, January 2019


Anomalies and fermion zero modes on strings and domain walls
journal, January 1985


D-brane charges in five-brane backgrounds
journal, October 2001


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


Topological order in the color-flavor locked phase of a ( 3 + 1 )-dimensional U ( N ) gauge-Higgs system
journal, December 2019


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

Theories of class F and anomalies
journal, October 2018

  • Lawrie, Craig; Martelli, Dario; Schäfer-Nameki, Sakura
  • Journal of High Energy Physics, Vol. 2018, Issue 10
  • DOI: 10.1007/JHEP10(2018)090

An SU(2) anomaly
journal, November 1982


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

Domain walls in high-T SU(N) super Yang-Mills theory and QCD(adj)
journal, May 2019

  • Anber, Mohamed M.; Poppitz, Erich
  • Journal of High Energy Physics, Vol. 2019, Issue 5
  • DOI: 10.1007/JHEP05(2019)151

Time-reversal symmetry, anomalies, and dualities in (2+1)$d$
journal, January 2018


A computation of Tr(−1)F in supersymmetric gauge theories with matter
journal, August 1983


Relative Quantum Field Theory
journal, January 2014

  • Freed, Daniel S.; Teleman, Constantin
  • Communications in Mathematical Physics, Vol. 326, Issue 2
  • DOI: 10.1007/s00220-013-1880-1

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


Phases Of Adjoint QCD$_3$ And Dualities
journal, January 2018


Large N chiral dynamics
journal, September 1980


Anomalies of duality groups and extended conformal manifolds
journal, July 2018

  • Seiberg, Nathan; Tachikawa, Yuji; Yonekura, Kazuya
  • Progress of Theoretical and Experimental Physics, Vol. 2018, Issue 7
  • DOI: 10.1093/ptep/pty069

Exceptional Chern-Simons-Matter dualities
journal, January 2019


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


Algebraic and Hamiltonian methods in the theory of non-Abelian anomalies
journal, August 1984

  • Faddeev, L. D.; Shatashvili, S. L.
  • Theoretical and Mathematical Physics, Vol. 60, Issue 2
  • DOI: 10.1007/BF01018976

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

Gapped boundary phases of topological insulators via weak coupling
journal, November 2016

  • Seiberg, Nathan; Witten, Edward
  • Progress of Theoretical and Experimental Physics, Vol. 2016, Issue 12
  • DOI: 10.1093/ptep/ptw083

Reading between the lines of four-dimensional gauge theories
journal, August 2013

  • Aharony, Ofer; Seiberg, Nathan; Tachikawa, Yuji
  • Journal of High Energy Physics, Vol. 2013, Issue 8
  • DOI: 10.1007/JHEP08(2013)115

Quantum 4d Yang-Mills theory and time-reversal symmetric 5d higher-gauge topological field theory
journal, October 2019


A expandable series of non-linear σ models with instantons
journal, December 1978


A symmetry breaking scenario for QCD3
journal, January 2018

  • Komargodski, Zohar; Seiberg, Nathan
  • Journal of High Energy Physics, Vol. 2018, Issue 1
  • DOI: 10.1007/JHEP01(2018)109

More about the massive Schwinger model
journal, September 1976


CP -nonconserving effects in quantum chromodynamics
journal, April 1979


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


Anomaly of the Electromagnetic Duality of Maxwell Theory
journal, October 2019


Comments on global symmetries, anomalies, and duality in (2 + 1)d
journal, April 2017

  • Benini, Francesco; Hsin, Po-Shen; Seiberg, Nathan
  • Journal of High Energy Physics, Vol. 2017, Issue 4
  • DOI: 10.1007/JHEP04(2017)135

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

A duality web in 2 + 1 dimensions and condensed matter physics
journal, November 2016


Characteristic Classes and Homogeneous Spaces, I
journal, April 1958

  • Borel, A.; Hirzebruch, F.
  • American Journal of Mathematics, Vol. 80, Issue 2
  • DOI: 10.2307/2372795

Level/rank duality and Chern-Simons-matter theories
journal, September 2016


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 constraints on deconfinement and chiral phase transition
journal, May 2018


A property of electric and magnetic flux in non-Abelian gauge theories
journal, January 1979


Global Symmetries, Counterterms, and Duality in Chern-Simons Matter Theories with Orthogonal Gauge Groups
journal, January 2018


Supersymmetric index in four-dimensional gauge theories
journal, January 2001


Chern–Weil forms and abstract homotopy theory
journal, April 2013


Living on the walls of super-QCD
journal, January 2019


Three-dimensional dualities with bosons and fermions
journal, February 2018


Anomalies involving the space of couplings and the Zamolodchikov metric
journal, December 2017


Chern-Simons-matter dualities with SO and USp gauge groups
journal, February 2017

  • Aharony, Ofer; Benini, Francesco; Hsin, Po-Shen
  • Journal of High Energy Physics, Vol. 2017, Issue 2
  • DOI: 10.1007/JHEP02(2017)072

Current algebra, baryons, and quark confinement
journal, August 1983


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