EQUIVALENCE OF RENORMALIZED COVARIANT AND LIGHT-FRONT PERTURBATION-THEORY - II - TRANSVERSE DIVERGENCES IN THE YUKAWA MODEL - ART. NO. 025013

Light-front dynamics can only become,a viable alternative to the covar iant approach if doubts about its covariance can be taken away. As a m inimal requirement we take that the physical quantities calculated wit h light-front perturbation theory are the same as those obtained using covariant perturbation theory. If this situation occurs, we use the w ord equivalent to characterize it. For quantities that involve the cal culation of superficially convergent diagrams, proofs of equivalence e xist. For some types of divergent diagrams the proof of equivalence is complicated. Here we deal with diagrams with transverse divergences. Our method is based on minus regularization, which is inspired on BPHZ regularization. In a calculation using numerical methods we show how to obtain a rotationally invariant amplitude for two triangle diagrams contributing to the decay of a scalar boson in the Yukawa model. It c oncludes our proof of equivalence of covariant and light-front perturb ation theory. [S0556-2821(98)02014-1].