Two-Loop Approximation of the Effective Potential for the Yang-Mills Field

The effective potential for the Yang-Mills field is computed to the two-loop level using the Dyson-Schwinger functional differential equation for the effective action. The results are expressed in terms of the known free gauge particle and free ghost particle propagators. Effective potential V has been widely studied after the Coleman and Weinberg proposaPl of radiative corrections as a source for spontaneous symmetry break-down. Here we need not again expound its importance in the investigation of dynamical symmetry breaking2l but merely stress that relevent effects may not se