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.

Details

Title
Soft theorems for boosts and other time symmetries
Author
Hui, Lam 1 ; Joyce, Austin 2 ; Komissarov, Ilia 1 ; Parmentier, Klaas 1 ; Santoni, Luca 3   VIAFID ORCID Logo  ; Wong, Sam S. C. 4 

1  Columbia University, Center for Theoretical Physics, Department of Physics, New York, USA (GRID:grid.21729.3f) (ISNI:0000000419368729) 
2  University of Chicago, Kavli Institute for Cosmological Physics, Department of Astronomy and Astrophysics, Chicago, USA (GRID:grid.170205.1) (ISNI:0000 0004 1936 7822) 
3  ICTP, International Centre for Theoretical Physics, Trieste, Italy (GRID:grid.419330.c) (ISNI:0000 0001 2184 9917) 
4  University of Pennsylvania, Center for Particle Cosmology, Department of Physics and Astronomy, Philadelphia, USA (GRID:grid.25879.31) (ISNI:0000 0004 1936 8972) 
Pages
123
Publication year
2023
Publication date
Mar 2023
Publisher
Springer Nature B.V.
e-ISSN
10298479
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1007/JHEP02(2023)123
ProQuest document ID
2784119065
Copyright
© The Author(s) 2023. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.