One-loop corrections to the D3-brane action

We calculate one-loop corrections to the effective Lagrangian for the D3-brane. We perform the gauge fixing of the K-symmetric Born-Infeld D3-brane action in the flat background using the 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 (partial derivativeF)(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.