On plasmon contribution to the hot A0 condensate

Abstract

In SU(2) gluodynamics, the Debye gluon contribution WD(A0) to the effective action of the temporal gauge field component, A0 = const, at high temperature is calculated in the background Rxi gauge. It is shown that at nonzero A0 the standard definition k0 = 0, |k| -> 0 corresponds to long distance correlations for the longitudinal in internal space gluons. The transversal gluons become screened by the A0 background field. Therefore they give zero contributions and have to be excluded from the correlation corrections. The total effective action accounting for the one-loop, two-loop and correct WD(A0) satisfies Nielsen's identity that proves gauge invariance of the A0 condensation phenomenon.

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