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

Abstract

We study the new extension of the [Formula: see text] Horava–Lifshitz QED involving a CPT-breaking term, characterized by the axial vector [Formula: see text], and calculate the Carroll–Field–Jackiw (CFJ) term in the one-loop approximation. Explicitly, we use two regularization schemes and demonstrate that in our case, the CFJ term is finite but ambiguous, so that its exact coefficient depends on the used regularization.