Virtual photon effects in D=3 Born-Infeld theory

TL;DR

This paper investigates one-loop quantum effects in 2+1 dimensional Born-Infeld theory, deriving an effective action and analyzing interactions between magnetic charges, highlighting differences from Maxwell theory.

Contribution

It provides the first derivation of the one-loop effective action in 2+1D Born-Infeld theory and applies Halpern's formulation to study magnetic charge interactions.

Findings

Effective action derived for 2+1D Born-Infeld theory.

Interaction between magnetic charges differs from Maxwell theory.

Born-Infeld theory can be consistently treated as an effective field theory.

Abstract

One loop effects due to virtual gauge field propagation in 2+1 dimensional Born-Infeld theory are investigated. Although this field theory model is not power counting renormalizable, it can be consistently interpreted as an effective field theory. We derive the one-loop effective action in this framework. Halpern's field strength's formulation is then applied to derive an effective description for the interaction between magnetically charged particles, when the gauge field dynamics is determined by a Born-Infeld action. We compare the results with those of the Maxwell theory.