SELF-ENERGY PECULIARITIES OF THE HOT GAUGE THEORY AFTER SYMMETRY BREAKING

A tensor representation of the gluon propagator is found within covariant gauges for a non-Abelian theory after symmetry breaking due to $<A_0>\mathrm{\ne }0$ and the exact equations which determine the dispersion laws of plasma excitations are explicitly obtained. In the high temperature region and fixing the Feynman gauge we solved these equations and found the damping of the plasma oscillations and the shifting of their frequency. The phase transition of a gauge symmetry restoration is estimated to be ${\alpha }_c(T)\approx 4\mathrm{/}3$.