On-Shell Asymptotics of Non-Abelian Gauge Theories

Abstract

In the leading-logarithm approximation, the high-energy fixed-angle elastic fermion-fermion amplitude and the asymptotic form factor have been calculated to sixth order for a Yang-Mills theory; some other processes have been calculated to fourth order. The results suggest properties of exponentiation and factorization which can be described in terms of momentum-dependent anomalous dimensions in the renormalization-group equations. We discuss the possible relation of the zero-mass limit of our results to particle confinement.