On plasmon contribution to the hot A0 condensate

Authors

  • O. A. Borisenko N.N. Bogolyubov Institute for Theoretical Physics, Kyiv, Ukraine
  • V. V. Skalozub Oles Honchar Dnipro National University, Dnipro, Ukraine

DOI:

https://doi.org/10.15421/331916

Keywords:

gluon, A0 condensate, effective action, plasmon, Nielsen’s identity, gauge invariance

Abstract

In SU(2) gluodynamics, the Debye gluon contribution WD(A0) to the effective action of the temporal gauge field component (we consider A0 = const) in the background Rξext 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 WD(A0) satisfies Nielsen’s identity that proves gauge invariance of the A0 condensation phenomenon.

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Published

27-12-2019

Issue

Vol. 27 No. 2 (2019)

Section

Articles