On discrete anomalies in chiral gauge theories
Publication Date
2022-01-21Journal Title
Journal of High Energy Physics
Publisher
Springer Berlin Heidelberg
Volume
2022
Issue
1
Language
en
Type
Article
This Version
VoR
Metadata
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Smith, P. B., Karasik, A., Lohitsiri, N., & Tong, D. (2022). On discrete anomalies in chiral gauge theories. Journal of High Energy Physics, 2022 (1) https://doi.org/10.1007/jhep01(2022)112
Abstract
Abstract: We study two well-known SU(N) chiral gauge theories with fermions in the symmetric, anti-symmetric and fundamental representations. We give a detailed description of the global symmetry, including various discrete quotients. Recent work argues that these theories exhibit a subtle mod 2 anomaly, ruling out certain phases in which the theories confine without breaking their global symmetry, leaving a gapless composite fermion in the infra-red. We point out that no such anomaly exists. We further exhibit an explicit path to the gapless fermion phase, showing that there is no kinematic obstruction to realising these phases.
Keywords
Regular Article - Theoretical Physics, Anomalies in Field and String Theories, Discrete Symmetries, Confinement, Nonperturbative Effects
Identifiers
jhep01(2022)112, 17604
External DOI: https://doi.org/10.1007/jhep01(2022)112
This record's URL: https://www.repository.cam.ac.uk/handle/1810/336465
Rights
Licence:
http://creativecommons.org/licenses/by/4.0/
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