Noncovariant gauges in non-Abelian field theory
This thesis consists of two parts, in which two major calculations are presented. In the first part, the explicit computation of the one-loop contribution to the four-point function in light-cone gauge Yang-Mills is discussed and both local and nonlocal contributions are presented. The form of the one-particle irreducible (1PI) four-point function predicted by Bassetto, Dalbosco and Soldati is verified. The result is consistent with a local renormalization of physical quantities, although a complete renormalization of light-cone gauge Yang-Mills theory requires both local and nonlocal subtractions. In the second part, Chern-Simons theory is examined in a gauge that interpolates between the noncovariant light-cone gauge and the covariant Landau gauge. The Feynman rules are derived and the Feynman integrals for all one-loop diagrams are constructed.