Effective field theory approach to N=4 supersymmetric Yang-Mills at finite temperature
Abstract
We study the perturbation expansion of the free energy of N=4 supersymmetric SU(N) Yang-Mills at finite temperature in powers of 't Hooft's coupling g2 N in the large N limit. Infrared divergences are controlled by constructing a hierarchy of two 3 dimensional effective field theories. This procedure is applied to the calculation of the free energy to order (g2 N)(3/2), but it can be extended to higher order corrections.
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