Soft Phonon Theorems
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866911871890620416 |
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| author | Cheung, Clifford Derda, Maria Helset, Andreas Parra-Martinez, Julio |
| author_facet | Cheung, Clifford Derda, Maria Helset, Andreas Parra-Martinez, Julio |
| contents | A variety of condensed matter systems describe gapless modes that can be interpreted as Nambu-Goldstone bosons of spontaneously broken Poincaré symmetry. In this paper we derive new soft theorems constraining the tree-level scattering of these degrees of freedom, as exhibited in solids, fluids, superfluids, and framids. These soft theorems are in one-to-one correspondence with various broken symmetries, including spacetime translations, Lorentz boosts, and, for the case of fluids, volume-preserving diffeomorphisms. We also implement a bootstrap in which the enhanced vanishing of amplitudes in the soft limit is taken as an input, thus sculpting out a subclass of exceptional solid, fluid, and framid theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_11363 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Soft Phonon Theorems Cheung, Clifford Derda, Maria Helset, Andreas Parra-Martinez, Julio High Energy Physics - Theory Other Condensed Matter High Energy Physics - Phenomenology A variety of condensed matter systems describe gapless modes that can be interpreted as Nambu-Goldstone bosons of spontaneously broken Poincaré symmetry. In this paper we derive new soft theorems constraining the tree-level scattering of these degrees of freedom, as exhibited in solids, fluids, superfluids, and framids. These soft theorems are in one-to-one correspondence with various broken symmetries, including spacetime translations, Lorentz boosts, and, for the case of fluids, volume-preserving diffeomorphisms. We also implement a bootstrap in which the enhanced vanishing of amplitudes in the soft limit is taken as an input, thus sculpting out a subclass of exceptional solid, fluid, and framid theories. |
| title | Soft Phonon Theorems |
| topic | High Energy Physics - Theory Other Condensed Matter High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2301.11363 |