A New Approach to Lower Dimensional Gauge Theories

TL;DR

This paper introduces a simplified differential renormalization method for lower-dimensional abelian gauge theories, effectively deriving photon masses while avoiding tensor definition issues.

Contribution

It presents a novel application of differential renormalization to 2D and 3D abelian gauge theories, simplifying calculations and addressing tensor definition problems.

Findings

Successfully derived topological and dynamical photon masses.

Demonstrated the method's simplicity and suitability for low-dimensional gauge theories.

Avoided issues related to defining antisymmetric tensors.

Abstract

We apply the method of differential renormalization to two and three dimensional abelian gauge theories. The method is especially well suited for these theories as the problems of defining the antisymmetric tensor are avoided and the calculus involved is impressively simple. The topological and dynamical photon masses are obtained.