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Constraints on Symmetry Preserving Gapped Phases from Coupling Constant Anomalies

Published 17 Apr 2024 in hep-th, cond-mat.str-el, and hep-ph | (2404.11660v2)

Abstract: In this note, we will characterize constraints on the possible IR phases of a given QFT by anomalies in the space of coupling constants. We will give conditions under which a coupling constant anomaly cannot be matched by a continuous family of symmetry preserving gapped phases, in which case the theory is either gapless, or exhibits spontaneous symmetry breaking or a phase transition. We additionally demonstrate examples of theories with coupling constant anomalies which can be matched by a family of symmetry preserving gapped phases without a phase transition and comment on the interpretation of our results for the spontaneous breaking of "$(-1)$-form global symmetries."

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  1. T. Daniel Brennan 

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