A tensor representation of the gluon propagator is found within covari
ant gauges for a non-Abelian theory after symmetry breaking due to [A(
0)] not equal 0 and the exact equations which determine the dispersion
laws of plasma excitations are explicitly obtained. In the high tempe
rature region and fixing the Feynman gauge we solved these equations t
o find the damping of the plasma oscillations and the shifting of thei
r frequency. The phase transition of a gauge symmetry restoration is e
stimated to be alpha(c)(T) approximate to 4/3.