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Soft phonon theorems
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DOI：10.1007/JHEP08(2023)103.png)
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Abstract
En 中文
A variety of condensed matter systems describe gapless modes that can be interpreted as Nambu-Goldstone bosons of spontaneously broken Poincare 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.
Keywords:
Effective Field Theories
Scattering Amplitudes
Space-Time Symmetries
Journal
IF:
5.5
Papers:
3.9W
Citations:
13.7W
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