NUMERICAL EVALUATION OF THE ONE-LOOP EFFECTIVE ACTION IN STATIC BACKGROUNDS WITH SPHERICAL-SYMMETRY

The problem of evaluating the one-loop quantum corrections to the energy of classical solution is ubiquitous in elementary particle physics. In many cases already the classical solution is known only numerically so that methods based on exact wave functions for the quantum excitations cannot be applied. We propose here a numerical method based on the use of Euclidean Green's functions which allows to extract the finite parts after Lorentz covariant regularization and renormalization. © 1990 Springer-Verlag.