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’t Hooft anomaly matching condition and chiral symmetry breaking without bilinear condensate

  • Satoshi YamaguchiEmail author
Open Access
Regular Article - Theoretical Physics
  • 34 Downloads

Abstract

We explore 4-dimensional SU(N) gauge theory with a Weyl fermion in an irreducible self-conjugate representation. This theory, in general, has a discrete chiral symmetry. We use ’t Hooft anomaly matching condition of the center symmetry and the chiral symmetry, and find constraints on the spontaneous chiral symmetry breaking in the confining phase. The domain-walls connecting different vacua are discussed from the point of view of the ’t Hooft anomaly. We consider the SU(6) gauge theory with a Weyl fermion in the rank 3 anti-symmetric representation as an example. It is argued that this theory is likely to be in the confining phase. The chiral symmetry 6 should be spontaneously broken to 2 under the assumption of the confinement, although there cannot be any fermion bilinear condensate in this theory.

Keywords

Anomalies in Field and String Theories Spontaneous Symmetry Breaking Confinement Discrete Symmetries 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2019

Authors and Affiliations

  1. 1.Department of Physics, Graduate School of ScienceOsaka UniversityToyonakaJapan

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