High-Energy Behavior of Non-Abelian Gauge Theories

Abstract

The fermion-fermion scattering amplitude in non-Abelian gauge theories is calculated in the approximation of keeping only the leading logarithmic terms at high energy, up to eighth order in the coupling constant. The high-energy behavior of the calculated scattering amplitude is drastically different from the results obtained in other renormalizable field theories, e.g., the ${\ensuremath{\phi}}^{3}$ theory and quantum electrodynamics.