BCF anomaly and higher-group structure in the low energy effective theories of mesons

Tatsuki Nakajima, Tadakatsu Sakai, Ryo Yokokura

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We discuss the BCF anomaly of massless QCD-like theories, first obtained by Anber and Poppitz, from the viewpoint of the low energy effective theories. We assume that the QCD-like theories exhibit spontaneous chiral symmetry breaking due to a quark bilinear condensate. Using the ’t Hooft anomaly matching condition for the BCF anomaly, we find that the low energy effective action is composed of a chiral Lagrangian and a Wess-Zumino-Witten term together with an interaction term of the η′ meson with the background gauge field for a discrete one-form symmetry. It is shown that the low energy effective action cancels the quantum inconsistencies associated with η′ due to an ambiguity of how to uplift the action to a five-dimensional spacetime with a boundary. The η′ term plays a substantial role in exploring the emergent higher-group structure at low energies.

Original languageEnglish
Article number175
JournalJournal of High Energy Physics
Volume2023
Issue number1
DOIs
Publication statusPublished - 2023 Feb

Keywords

  • Anomalies in Field and String Theories
  • Effective Field Theories
  • Global Symmetries

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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