Lorentz violation with an antisymmetric tensor

TL;DR

This paper investigates theories with spontaneous Lorentz violation caused by an antisymmetric tensor, exploring their properties, dualities, and implications for gravitational and post-Newtonian physics.

Contribution

It constructs a general action for Lorentz-violating models with an antisymmetric tensor, analyzing their modes, dualities, and gravitational effects, including nonminimal couplings and stability conditions.

Findings

Minimal Minkowski models show dualities with vector and scalar theories.

Post-Newtonian expansion reveals new features like absence of isotropic limit.

Certain interactions yield stable Lorentz-violating theories that solve renormalization-group equations.

Abstract

Field theories with spontaneous Lorentz violation involving an antisymmetric 2-tensor are studied. A general action including nonminimal gravitational couplings is constructed, and features of the Nambu-Goldstone and massive modes are discussed. Minimal models in Minkowski spacetime exhibit dualities with Lorentz-violating vector and scalar theories. The post-newtonian expansion for nonminimal models in Riemann spacetime involves qualitatively new features, including the absence of an isotropic limit. Certain interactions producing stable Lorentz-violating theories in Minkowski spacetime solve the renormalization-group equations in the tadpole approximation.