Scattering amplitudes of massive Nambu-Goldstone bosons
arXiv:1709.01251 · doi:10.1103/PhysRevD.97.025021
Abstract
Massive Nambu-Goldstone (mNG) bosons are quasiparticles whose gap is determined exactly by symmetry. They appear whenever a symmetry is broken spontaneously in the ground state of a quantum many-body system, and at the same time explicitly by the system's chemical potential. In this paper, we revisit mNG bosons and show that apart from their gap, symmetry also protects their scattering amplitudes. Just like for ordinary gapless NG bosons, the scattering amplitudes of mNG bosons vanish in the long-wavelength limit. Unlike for gapless NG bosons, this statement holds for any scattering process involving one or more external mNG states; there are no kinematic singularities associated with the radiation of a soft mNG boson from an on-shell initial or final state.
arXiv comment12 pages; v2: added discussion of the double-soft limit in response to the referee report; matches version published in PRD
References in corpus (22)
- What is the Simplest Quantum Field Theory?
- On the Foundations of Chiral Perturbation Theory
- Unified Description of Nambu-Goldstone Bosons without Lorentz Invariance
- Effective Field Theories from Soft Limits
- Nonrelativistic effective Lagrangians
- A Periodic Table of Effective Field Theories
- Counting rule for Nambu-Goldstone modes in nonrelativistic systems
- Kaon Condensation and Goldstone's Theorem
- On the number of Nambu-Goldstone bosons and its relation to charge densities
- Spontaneous Symmetry Breaking with Abnormal Number of Nambu-Goldstone Bosons and Kaon Condensate
- Effective Lagrangian for Nonrelativistic Systems
- Massive Nambu-Goldstone Bosons
- A relativistic non-relativistic Goldstone theorem: gapped Goldstones at finite charge density
- More on gapped Goldstones at finite density: More gapped Goldstones
- Spin-wave Scattering in the Effective Lagrangian Perspective
- Adler's Zero and Effective Lagrangians for Nonlinearly Realized Symmetry
- Double Soft Theorems and Shift Symmetry in Nonlinear Sigma Models
- Effective Lagrangians for quantum many-body systems
- Spontaneous symmetry breaking in the linear sigma model at finite chemical potential: One-loop corrections
- Conformal symmetry of trapped Bose-Einstein condensates and massive Nambu-Goldstone modes
- Effective field theory and the scattering process for magnons in the ferromagnet, antiferromagnet, and ferrimagnet
- Nonlinear (Super)Symmetries and Amplitudes
Cited by in corpus (6)
- Effective Field Theory for Spontaneously Broken Symmetry
- Gapped Goldstones at the cut-off scale: a non-relativistic EFT
- Fractional soft limits
- Dynamics of Frenkel excitons in pentacene
- Geometry of Classical Nambu-Goldstone Fields
- Massive Nambu-Goldstone Fermions and Bosons for Non-relativistic Superconformal Symmetry: Jackiw-Pi Vortices in a Trap