On one-loop corrections in the Horava-Lifshitz-like QED

TL;DR

This paper investigates one-loop quantum corrections in a Horava-Lifshitz-like QED with critical exponent z=2, revealing conditions for Lorentz symmetry restoration and confirming the absence of triangle anomalies.

Contribution

It provides the first detailed analysis of one-loop functions and anomaly behavior in Horava-Lifshitz-like QED with z=2, highlighting potential Lorentz symmetry restoration.

Findings

Lorentz symmetry can be dynamically restored at low energies.

Triangle anomaly vanishes identically in this theory.

Explicit calculations of two-point and three-point functions are presented.

Abstract

We study the one-loop two point functions of the gauge, scalar and spinor fields for a Horava-Lifshitz-like QED with critical exponent $z=2$. It turns out that, in certain cases, the dynamical restoration of the Lorentz symmetry at low energies can take place. We also analyze the three point vertex function of the gauge and spinor fields and prove that the triangle anomaly identically vanishes in this theory.