M. Passera et K. Sasaki, GLUON SELF-ENERGY IN THE COULOMB AND TEMPORAL AXIAL GAUGES VIA THE PINCH TECHNIQUE, Physical review. D. Particles and fields, 54(9), 1996, pp. 5763-5776
The S-matrix pinch technique is used to derive an effective gluon self
-energy to one-loop order, when the theory is quantized in the Coulomb
gauge (CG) and in the temporal axial gauge (TAG). When the pinch cont
ributions are added, the gluon self-energies calculated in the CG and
TAG turn. out to be identical and coincide with the result previously
obtained with covariant gauges. The issue of gauge independence of sev
eral quantities in hot QCD is discussed from the pinch technique point
of view. It is also pointed out that the spurious singularities which
appear in TAG calculations cancel out once the pinch contributions ar
e combined.