DOE OSTI · 2223060
Soft phonon theorems
Abstract
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.
Explore related subjects
Keep this discovery
Explore connections, maps & timelines
Cheung, Clifford, Derda, Maria, Helset, Andreas, Parra-Martinez, Julio. 2023-08-17. Soft phonon theorems. https://doi.org/10.1007/jhep08(2023)103
Cite the original work for its findings. Save a collection to share your selection of sources.