  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.
