Soft Phonon Theorems
arXiv:2301.11363 · doi:10.1007/JHEP08(2023)103
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.
35 pages
References in corpus (46)
- The Effective Field Theory of Inflation
- On Soft Limits of Inflationary Correlation Functions
- Spontaneously Broken Spacetime Symmetries and Goldstone's Theorem
- Unified Description of Nambu-Goldstone Bosons without Lorentz Invariance
- Solid Inflation
- Effective Field Theories from Soft Limits
- Nonrelativistic effective Lagrangians
- On-Shell Recursion Relations for Effective Field Theories
- A Periodic Table of Effective Field Theories
- Spontaneous Symmetry Breaking and Nambu-Goldstone Bosons in Quantum Many-Body Systems
- On the number of Nambu-Goldstone bosons and its relation to charge densities
- Redundancies in Nambu-Goldstone Bosons
- Extensions of Theories from Soft Limits
- The quantum mechanics of perfect fluids
- Effective Lagrangian for Nonrelativistic Systems
- Soft Bootstrap and Supersymmetry
- Tree-level Amplitudes in the Nonlinear Sigma Model
- The Boostless Bootstrap: Amplitudes without Lorentz boosts
- Vector Effective Field Theories from Soft Limits
- Spontaneous breaking of spacetime symmetries and the inverse Higgs effect
- Recursion relations from soft theorems
- Soft Theorems For Shift-Symmetric Cosmologies
- Spontaneous breaking of continuous translational invariance
- Geometric Soft Theorems
- Adler's Zero and Effective Lagrangians for Nonlinearly Realized Symmetry
- Inflationary soft theorems revisited: A generalized consistency relation
- Geometry-Kinematics Duality
- Double Soft Theorems and Shift Symmetry in Nonlinear Sigma Models
- Soft Bootstrap and Effective Field Theories
- Symmetric Superfluids
- Ward Identity and Scattering Amplitudes for Nonlinear Sigma Models
- The Infrared Structure of Nambu-Goldstone Bosons
- The Cosmological Phonon: Symmetries and Amplitudes on Sub-Horizon Scales
- An Algebraic Classification of Exceptional EFTs
- Non-perturbative Double Copy in Flatland
- Solid Soft Theorems
- On the Supersymmetrization of Galileon Theories in Four Dimensions
- Operator Counting and Soft Blocks in Chiral Perturbation Theory
- Multi-spin soft bootstrap and scalar-vector Galileon
- Nonrelativistic effective field theories with enhanced symmetries and soft behavior
- Inflationary Adler Conditions
- Soft theorems for boosts and other time symmetries
- On-Shell Recursion Relations for Nonrelativistic Effective Field Theories
- The Boostless Bootstrap and BCFW Momentum Shifts
- Fractional soft limits
- Extended DBI and its generalizations from graded soft theorems