General anomaly matching by Goldstone bosons

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Abstract

We describe how Goldstone bosons of spontaneous symmetry breaking G → H can reproduce anomalies of UV theories under the symmetry group G at the nonpertur- bative level. This is done by giving a general definition of Wess-Zumino-Witten terms in terms of the invertible field theories in d + 1 dimensions which describe the anomalies of d-dimensional UV theories. The hidden local symmetry Ĥ , which is used to describe Goldstone bosons in coset construction G/H , plays an important role. Our definition also naturally leads to generalized θ-angles of the hidden local gauge group Ĥ. We illustrate this point by SO(Nc) (or Spin(Nc)) QCD-like theories in four dimensions.

Original languageEnglish
Article number57
JournalJournal of High Energy Physics
Volume2021
Issue number3
DOIs
Publication statusPublished - 2021 Mar

Keywords

  • Anomalies in Field and String Theories
  • Spontaneous Symmetry Breaking
  • Topological States of Matter

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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