Chern-Simons terms in Lifshitz like quantum electrodynamics

TL;DR

This paper investigates the generation of generalized Chern-Simons terms in three-dimensional Lifshitz-like quantum electrodynamics with high spatial derivatives, analyzing self-energy corrections and their divergences.

Contribution

It introduces explicit forms of high-derivative Chern-Simons terms in Lifshitz QED and discusses their properties and isotropic limits.

Findings

Explicit forms of high-derivative Chern-Simons terms derived.

Existence of a smooth isotropic limit proved.

Transversality of the anisotropic gauge propagator discussed.

Abstract

In this work the generation of generalized Chern-Simons terms in three dimensional quantum electrodynamics with high spatial derivatives is studied. We analyze the self-energy corrections to the gauge field propagator by considering an expansion of the amplitude up to third order in the external momenta. The divergences of the corrections are determined and explicit forms for the Chern-Simons terms with high derivatives are obtained. Some unusual aspects of the calculation are stressed and the existence of a smooth isotropic limit is proved. The transversality of the anisotropic gauge propagator is also discussed.