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

Bieletzki D, Lessmeier K, Philipsen O, Schroeder Y (2012)
JHEP 2012(5): 58.

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Abstract
Perturbation theory for non-Abelian gauge theories at finite temperature isplagued 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 gaugeinvariant resummation scheme to solve this problem by self-consistent massgeneration using an auxiliary scalar field, improving over previous attempts intwo 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 theliterature. The resulting two-loop approximation to the magnetic massrepresents a $\sim 15%$ correction to the leading one-loop value, indicating areasonable convergence of the resummation.
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Bieletzki D, Lessmeier K, Philipsen O, Schroeder Y. Resummation scheme for 3d Yang-Mills and the two-loop magnetic mass for hot gauge theories. JHEP. 2012;2012(5):58.
Bieletzki, D., Lessmeier, K., Philipsen, O., & Schroeder, Y. (2012). Resummation scheme for 3d Yang-Mills and the two-loop magnetic mass for hot gauge theories. JHEP, 2012(5), 58. doi:10.1007/JHEP05(2012)058
Bieletzki, D., Lessmeier, K., Philipsen, O., and Schroeder, Y. (2012). Resummation scheme for 3d Yang-Mills and the two-loop magnetic mass for hot gauge theories. JHEP 2012, 58.
Bieletzki, D., et al., 2012. Resummation scheme for 3d Yang-Mills and the two-loop magnetic mass for hot gauge theories. JHEP, 2012(5), p 58.
D. Bieletzki, et al., “Resummation scheme for 3d Yang-Mills and the two-loop magnetic mass for hot gauge theories”, JHEP, vol. 2012, 2012, pp. 58.
Bieletzki, D., Lessmeier, K., Philipsen, O., Schroeder, Y.: Resummation scheme for 3d Yang-Mills and the two-loop magnetic mass for hot gauge theories. JHEP. 2012, 58 (2012).
Bieletzki, D., Lessmeier, K., Philipsen, O., and Schroeder, York. “Resummation scheme for 3d Yang-Mills and the two-loop magnetic mass for hot gauge theories”. JHEP 2012.5 (2012): 58.
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