Resummation scheme for 3d Yang-Mills and the two-loop magnetic mass for hot gauge theories
Mar, 2012
16 pages
Published in:
- JHEP 05 (2012) 058
e-Print:
- 1203.6538 [hep-ph]
Report number:
- BI-TP-2012-12
View in:
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Abstract: (arXiv)
Perturbation theory for non-Abelian gauge theories at finite temperature is plagued by infrared divergences caused by magnetic soft modes , 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 correction to the leading one-loop value, indicating a reasonable convergence of the resummation.Note:
- 16 pages, 3 figures
- mass: magnetic
- gauge field theory: Yang-Mills
- gauge field theory: nonabelian
- field theory: scalar
- resummation
- perturbation theory
- finite temperature
- infrared problem
- mass generation
- SU(2)
References(32)
Figures(1)