Abstract
Perturbation theory for non-Abelian gauge theories at finite temperature is plagued by infrared divergences caused by magnetic soft modes ~ g 2 T, 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 ~ 15% correction to the leading one-loop value, indicating a reasonable convergence of the resummation.
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ArXiv ePrint: 1203.6538
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Bieletzki, D., Lessmeier, K., Philipsen, O. et al. Resummation scheme for 3d Yang-Mills and the two-loop magnetic mass for hot gauge theories. J. High Energ. Phys. 2012, 58 (2012). https://doi.org/10.1007/JHEP05(2012)058
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DOI: https://doi.org/10.1007/JHEP05(2012)058