One-loop corrections to the D3-brane action - art. no. 104009

We calculate one-loop corrections to the effective Lagrangian for the D3-br ane. We perform the gauge fixing of the K-symmetric Born-Infeld D3-brane ac tion in the flat background using the Killing gauge. The linearized supersy mmetry of the gauge-fixed action coincides with that of the N = 4 Yang-Mill s theory. We use the helicity amplitude and unitarity technique to calculat e the one-loop amplitudes at order alpha (4). The counterterms and the fini te 1-loop corrections are of the form (partial derivativeF)(4) and their su persymmetric generalization. This is to be contrasted with the Born-Infeld action which contains (F)(4) and other terms which do not depend on derivat ives of the vector field strength.