INFRARED SINGULARITY OF THE 2-LOOP GLUON PROPAGATOR AT T-NOT-EQUAL-0 IN COVARIANT ALPHA-GAUGES

The infrared limit of the trace of the spatial components of the two-l oop gluon polarization tensor is calculated at finite temperatures in the alpha-gauges. The calculations (performed with dimensional regular ization and by the method of cutoff in momentum space) show that the a symptotic behavior of the polarization tensor for external \kBAR\ not- equal 0 depends logarithmically on the momentum and contains an infrar ed divergence. It is found that when the two-loop logarithmic contribu tions are taken into account, the existence of a fictitious infrared s ingularity of the gluon propagator depends significantly on the gauge, and for some gauges (for example, for alpha = 1) this singularity is certainly enhanced.