Dual embedding of the Lorentz-violating electrodinamics and Batalin-Vilkovisky quantization

TL;DR

This paper develops a dual gauge-invariant formulation of Lorentz-violating electrodynamics with a topological term and applies Batalin-Vilkovisky quantization to analyze its excitation spectrum.

Contribution

It introduces a dual gauge-invariant version of Lorentz-violating electrodynamics using gauge embedding and employs Batalin-Vilkovisky quantization for detailed spectrum analysis.

Findings

Dual gauge-invariant formulation established

Batalin-Vilkovisky quantization applied to the theory

Detailed excitation spectrum discussed

Abstract

Modifications of the electromagnetic Maxwell Lagrangian in four dimensions have been considered by some authors. One may include an explicit massive term (Proca) and a topological but not Lorentz-invariant term within certain observational limits. We find the dual-corresponding gauge invariant version of this theory by using the recently suggested gauge embedding method. We enforce this dualisation procedure by showing that, in many cases, this is actually a constructive method to find a sort of parent action, which manifestly establishes duality. We also use the gauge invariant version of this theory to formulate a Batalin-Vilkovisky quantization and present a detailed discussion on the excitation spectrum.