Variational principle for the Lorentz gauge condition and nonperturbative bounds on the functional integration domain in nonabelian gauge theories

Variational principle for the borentz gauge condition in the nonabelian gauge field theory is considered. The existence of an absolute minimum of the variational functional on an appropriate set of functions is demonstrated. The properties of the set of fields corresponding to such minima are desoribed. A functional integral over that set of fields is considered.