On the Adler-Bell-Jackiw anomaly in a Horava-Lifshitz-like QED

TL;DR

This paper investigates the Adler-Bell-Jackiw anomaly in a Horava-Lifshitz-like QED, demonstrating its absence for even z values and extending Fujikawa's method to finite temperature scenarios.

Contribution

It establishes the non-existence of the ABJ anomaly in this model for even z and adapts Fujikawa's approach to analyze the anomaly at non-zero temperature.

Findings

ABJ anomaly absent for even z in Horava-Lifshitz-like QED

Extended Fujikawa's methodology to finite temperature

Analyzed the contributing graph at non-zero temperature

Abstract

We show the absence of the ABJ anomaly for the Horava-Lifshitz-like QED with any even $z$. Besides of this, we study the graph contributing to the ABJ anomaly at non-zero temperature and extend the Fujikawa's methodology of studying the integral measure for our model.