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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]
+ Show Author Affiliations
  1. Institute for Advanced Study, Princeton University
  2. The University of Texas at Austin
  3. Princeton University
Publication Date:
Research Org.:
Institute for Advanced Study, Princeton, NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1581450
Alternate Identifier(s):
OSTI ID: 1801990
Grant/Contract Number:  
SC0009988
Resource Type:
Published Article
Journal Name:
SciPost Physics
Additional Journal Information:
Journal Name: SciPost Physics Journal Volume: 8 Journal Issue: 1; Journal ID: ISSN 2542-4653
Publisher:
Stichting SciPost
Country of Publication:
Netherlands
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Physics

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.
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Cordova, Clay, Freed, Daniel, Lam, Ho Tat, & Seiberg, Nathan. Anomalies in the space of coupling constants and their dynamical applications II. Netherlands. https://doi.org/10.21468/SciPostPhys.8.1.002
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Cordova, Clay, Freed, Daniel, Lam, Ho Tat, and Seiberg, Nathan. Tue . "Anomalies in the space of coupling constants and their dynamical applications II". Netherlands. https://doi.org/10.21468/SciPostPhys.8.1.002.
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@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},
number = 1,
volume = 8,
place = {Netherlands},
year = {Tue Jan 07 00:00:00 EST 2020},
month = {Tue Jan 07 00:00:00 EST 2020}
}
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https://doi.org/10.21468/SciPostPhys.8.1.002
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