On plasmon contribution to the hot A0 condensate

Анотація

In SU(2) gluodynamics, the Debye gluon contribution W_D(A₀) to the effective action of the temporal gauge field component (we consider A₀ = const) in the background R_ξ^ext is calculated at high temperaturegauge. It is shown that at A₀ ≠ 0 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 W_D(A₀) satisfies Nielsen’s identity that proves gauge invariance of the A₀ condensation phenomenon.