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Soft Phonon Theorems

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arxiv 2301.11363 v2 pith:ZAZTOUU4 submitted 2023-01-26 hep-th cond-mat.otherhep-ph

Clifford Cheung , Maria Derda , Andreas Helset , Julio Parra-Martinez This is my paper · ORCID
classification hep-thcond-mat.otherhep-ph
keywords softtheoremsbrokenfluidsamplitudesboostsbootstrapbosons
verification ladder T0 review T1 audit T2 compute T3 formal
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A variety of condensed matter systems describe gapless modes that can be interpreted as Nambu-Goldstone bosons of spontaneously broken Poincar\'e 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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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 11 citations worldwide. Full citation record

  1. geoSCET: Soft Theorems from Power Counting

    hep-th 2026-07 accept novelty 8.0 of 10

    geoSCET derives geometric soft theorems for scalar field theories directly from effective-field-theory power counting and proves they are exact to all orders in perturbation theory when no potential is present.

  2. Sound as a gauge theory and its infrared triangle

    hep-th 2025-12 conditional novelty 6.0 of 10

    Linear acoustic perturbations admit a memory effect that, in a dual Kalb-Ramond formulation, is encoded by large gauge transformations plus a monopole piece.

  3. Hidden Adler zeros and soft theorems for inflationary perturbations

    hep-th 2024-11 conditional novelty 6.0 of 10

    A new soft hierarchy makes soft theorems for inflationary perturbations independent of off-shell cubic vertices and fixes superfluid and scaling superfluid amplitudes up to the sound speed.

  4. Effective Field Theories for Material Media

    hep-th 2026-07 accept novelty 4.0 of 10

    Spacetime-symmetry-breaking Goldstone EFTs systematically describe bulk and localized excitations of solids, fluids, and superfluids, with new thermodynamic identifications and corrected scattering rates.

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