Transversality of the logarithmic divergences in the Classical Finite Temperature SU(N) Self-Energy
arXiv:hep-ph/0007124 · doi:10.1016/S0370-2693(00)00998-9
Abstract
We show that the logarithmic divergences that appear in the classical approximation of the finite temperature SU(N) self-energy are transverse. We use the Ward identities in linear gauges and the fact that the superficial degree of divergence d of a classical diagram only depends on the number of loops l via d=2-l. We comment on the relevance of this result to the construction of a low-energy effective theory beyond HTLs.
5 pages, 1 figure, REVTEX