On the Field Strength Formulation of Effective QED3

TL;DR

This paper applies Halpern's field strength formulation to effective QED3, providing a gauge-invariant description involving a pseudovector field, and explores its application to various examples.

Contribution

It introduces a novel application of Halpern's formulation to effective QED3, emphasizing gauge invariance and non-local interactions.

Findings

Successful reformulation of effective QED3 using pseudovector fields

Demonstration of gauge invariance in the new formulation

Application to multiple examples illustrating the approach

Abstract

Halpern's field strength's formulation of gauge theories is applied to effective QED_3, namely, a gauge invariant theory for an Abelian gauge field $A_\mu$ with non-localities and self-interactions. The resulting description in terms of the pseudovector field $\tilde{F}_\mu = \epsilon_{\mu\nu\lambda}\partial_\nu A_\lambda$ is applied to different examples.