Resummation scheme for 3d Yang-Mills and the two-loop magnetic mass for hot gauge theories
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.
- 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
- E-Print:
- 16 pages, 3 figures