One-loop corrections to the D3 brane action

TL;DR

This paper computes one-loop quantum corrections to the D3 brane effective action, revealing derivative-dependent terms and their supersymmetric extensions, using gauge-fixing and amplitude techniques.

Contribution

It introduces a detailed calculation of one-loop corrections to the D3 brane action, emphasizing derivative terms and supersymmetry, which differ from the classical Born-Infeld action.

Findings

Counterterms of the form (dF)^4 identified

Finite one-loop corrections include derivative-dependent terms

Supersymmetric generalizations of corrections derived

Abstract

We calculate one-loop corrections to the effective Lagrangian for the D3 brane. We perform the gauge-fixing of the kappa-symmetric Born-Infeld D3 brane action in the flat background using Killing gauge. The linearized supersymmetry of the gauge-fixed action coincides with that of the N=4 Yang-Mills theory. We use the helicity amplitude and unitarity technique to calculate the one-loop amplitudes at order alpha^4. The counterterms and the finite 1-loop corrections are of the form (dF)^4 and their supersymmetric generalization. This is to be contrasted with the Born-Infeld action which contains (F)^4 and other terms which do not depend on derivatives of the vector field strength.