Resummation scheme for 3d YangMills and the twoloop magnetic mass for hot gauge theories
Abstract
Perturbation theory for nonAbelian 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 YangMills theory. We revisit a gauge invariant resummation scheme to solve this problem by selfconsistent 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 twoloop gap equation, correcting an error in the literature. The resulting twoloop approximation to the magnetic mass represents a ~ 15% correction to the leading oneloop value, indicating a reasonable convergence of the resummation.
 Publication:

Journal of High Energy Physics
 Pub Date:
 May 2012
 DOI:
 10.1007/JHEP05(2012)058
 arXiv:
 arXiv:1203.6538
 Bibcode:
 2012JHEP...05..058B
 Keywords:

 Field Theories in Lower Dimensions;
 Resummation;
 Thermal Field Theory;
 QCD;
 High Energy Physics  Phenomenology;
 High Energy Physics  Theory
 EPrint:
 16 pages, 3 figures