Abstract
We characterize constraints on the possible IR phases of quantum field theories from coupling constant anomalies. We give conditions for when a coupling constant anomaly cannot be matched by a continuous family of symmetry preserving gapped phases: the theory must then be gapless or exhibit spontaneous symmetry breaking or a phase transition. We demonstrate examples of 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.” Published by the American Physical Society 2024
Published Version
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