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arXiv:hep-ph/0007124·v1·High Energy Physics — Phenomenology

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

A. Arrizabalaga🇳🇱 · B.J. Nauta🇳🇱 · Ch. G. van Weert🇳🇱

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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.

Comments: 5 pages, 1 figure, REVTEX

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