Transversality of the logarithmic divergences in the Classical Finite Temperature SU(N) Self-Energy

Details Transversality of the logarithmic divergences in the Classical Finite Temperature SU(N) Self-Energy Transversality of the logarithmic divergences in the Classical Finite Temperature SU(N) Self-Energy

2000-07-12

arxiv.org/abs/hep-ph/0007124v1

Phys.Lett. B491 (2000) 214-218

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, 1 figure, REVTEX

Scientific paper

10.1016/S0370-2693(00)00998-9

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.

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