Abstract

We study the new extension of the z = 3 Horava-Lifshitz QED involving a CPT-breaking term, characterized by the axial vector b(0,i), 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.