Inflationary Adler conditions
Journal
Physical Review D
Journal Volume
107
Journal Issue
4
Start Page
043534
ISSN
2470-0010
2470-0029
Date Issued
2023-02-23
Author(s)
Abstract
We derive a new soft theorem that corresponds to the spontaneous breaking of Lorentz boosts. This is motivated by the dynamics of inflation in the subhorizon (flat-space) limit, where spacetime becomes flat but Lorentz boosts are still broken. In this limit, the scattering amplitudes become sensible observables. We relate the soft emission of a Goldstone boson to the (nonrelativistic) Lorentz boost of the hard scattering amplitudes. This is the on-shell avatar of the spontaneous breaking of Lorentz boosts, analogous to the Adler zero of pions in the chiral symmetry breaking. We comment on several applications to inflation, including the demonstration that Dirac-Born-Infeld inflation is the unique theory that has an emergent Lorentz invariance when the boosts are spontaneously broken.
Publisher
American Physical Society (APS)
Type
journal article