Soft phonon theorems

Cheung, Clifford; Derda, Maria; Helset, Andreas; Parra-Martinez, Julio

doi:10.1007/jhep08(2023)103

Title: Soft phonon theorems

Journal Article · 17 August 2023 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep08(2023)103 · OSTI ID:2223060

Cheung, Clifford ^[1]; Derda, Maria ^[2];

^[2];

^[2]

California Institute of Technology (CalTech), Pasadena, CA (United States); California Institute of Technology
California Institute of Technology (CalTech), Pasadena, CA (United States)

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.

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Research Organization:: California Institute of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0011632

OSTI ID:: 2223060

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 8 Vol. 2023; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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