Soft theorems for boosts and other time symmetries
arXiv:2210.16276 · doi:10.1007/JHEP02(2023)123
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.
50 pages
References in corpus (18)
- Generalized Global Symmetries
- The Effective Field Theory of Inflation
- Starting the Universe: Stable Violation of the Null Energy Condition and Non-standard Cosmologies
- Effective Field Theories from Soft Limits
- On the consistency relation of the 3-point function in single field inflation
- Conformal Symmetries of Adiabatic Modes in Cosmology
- A Periodic Table of Effective Field Theories
- Stability of Geodesically Complete Cosmologies
- Soft-Pion Theorems for Large Scale Structure
- A Differential Representation of Cosmological Wavefunctions
- Multiple Soft Limits of Cosmological Correlation Functions
- Double Soft Limits of Cosmological Correlations
- Soft pion theorem, asymptotic symmetry and new memory effect
- On Graviton non-Gaussianities in the Effective Field Theory of Inflation
- Solid Consistency
- Solid Soft Theorems
- Squeezing out of the matter bispectrum with consistency relations
- Spatial Curvature at the Sound Horizon