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| Format: | Preprint |
| Published: |
2024
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| Online Access: | https://arxiv.org/abs/2404.11660 |
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| _version_ | 1866914789755715584 |
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| author | Brennan, T. Daniel |
| author_facet | Brennan, T. Daniel |
| contents | 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." |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_11660 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Constraints on Symmetry Preserving Gapped Phases from Coupling Constant Anomalies Brennan, T. Daniel High Energy Physics - Theory Strongly Correlated Electrons High Energy Physics - Phenomenology 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." |
| title | Constraints on Symmetry Preserving Gapped Phases from Coupling Constant Anomalies |
| topic | High Energy Physics - Theory Strongly Correlated Electrons High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2404.11660 |