CPT-violating z=3 Horava-Lifshitz QED and generation of the Carroll-Field-Jackiw term

TL;DR

This paper investigates a $z=3$ Horava-Lifshitz version of QED with CPT violation, showing that the Carroll-Field-Jackiw term remains finite but ambiguous at one-loop level, similar to Lorentz-breaking QED.

Contribution

It introduces a $z=3$ Horava-Lifshitz QED framework with CPT violation and analyzes the one-loop generation of the Carroll-Field-Jackiw term.

Findings

The Carroll-Field-Jackiw term is finite in this framework.

The term's value is ambiguous, consistent with previous Lorentz-breaking QED results.

The study extends understanding of CPT violation in non-Lorentz-invariant theories.

Abstract

We study the $z=3$ Horava-Lifshitz QED with a CPT-breaking term, characterized by the axial vector $b_{\mu}$, and perform the one-loop calculations. Explicitly, we demonstrate that just as in the usual Lorentz-breaking QED, in our case, the Carroll-Field-Jackiw term is finite but ambiguous.