Soft theorems for boosts and other time symmetries
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Publication:6045665
DOI10.1007/JHEP02(2023)123arXiv2210.16276OpenAlexW4320892408WikidataQ122676731 ScholiaQ122676731MaRDI QIDQ6045665
Author name not available (Why is that?)
Publication date: 12 May 2023
Published in: (Search for Journal in Brave)
Abstract: We derive soft theorems for theories in which time symmetries -- symmetries that involve the transformation of time, an example of which are Lorentz boosts -- are spontaneously broken. The soft theorems involve unequal-time correlation functions with the insertion of a soft Goldstone in the far past. Explicit checks are provided for several examples, including the effective theory of a relativistic superfluid and the effective field theory of inflation. We discuss how in certain cases these unequal-time identities capture information at the level of observables that cannot be seen purely in terms of equal-time correlators of the field alone. We also discuss when it is possible to phrase these soft theorems as identities involving equal-time correlators.
Full work available at URL: https://arxiv.org/abs/2210.16276
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