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Resummation scheme for 3d Yang-Mills and the two-loop magnetic mass for hot gauge theories

Authors
  • Bieletzki, D.
  • Lessmeier, K.
  • Philipsen, O.
  • Schroder, Y.
Type
Preprint
Publication Date
Mar 29, 2012
Submission Date
Mar 29, 2012
Identifiers
DOI: 10.1007/JHEP05(2012)058
Source
arXiv
License
Yellow
External links

Abstract

Perturbation theory for non-Abelian gauge theories at finite temperature is plagued by infrared divergences caused by magnetic soft modes $\sim g^2T$, which correspond to the fields of a 3d Yang-Mills theory. We revisit a gauge invariant resummation scheme to solve this problem by self-consistent mass generation using an auxiliary scalar field, improving over previous attempts in two respects. First, we generalise earlier SU(2) treatments to SU(N). Second, we obtain a gauge independent two-loop gap equation, correcting an error in the literature. The resulting two-loop approximation to the magnetic mass represents a $\sim 15%$ correction to the leading one-loop value, indicating a reasonable convergence of the resummation.

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