Lorentz-preserving fields in Lorentz-violating theories

TL;DR

This paper identifies a broad class of field configurations across various spins that preserve Lorentz invariance in effective theories with Lorentz violation, with potential applications in inflationary cosmology.

Contribution

It introduces a general class of Lorentz-preserving fields in Lorentz-violating theories, expanding understanding of symmetry preservation in such models.

Findings

Fields satisfy cubic dispersion relations similar to previous models.

These configurations can preserve Lorentz invariance despite Lorentz-violating backgrounds.

Potential applications in inflationary scenarios are proposed.

Abstract

We identify a fairly general class of field configurations (of spins 0, 1/2 and 1) which preserve Lorentz invariance in effective field theories of Lorentz violation characterized by a constant timelike vector. These fields concomitantly satisfy the equations of motion yielding cubic dispersion relations similar to those found earlier. They appear to have prospective applications in inflationary scenarios.