Effective field theory approach to N=4 supersymmetric Yang-Mills at finite temperature

Agustin Nieto (CERN); Michel H.G. Tytgat (Brussels)

arxiv: hep-th/9906147 · v1 · submitted 1999-06-18 · ✦ hep-th · hep-ph

Effective field theory approach to N=4 supersymmetric Yang-Mills at finite temperature

Agustin Nieto (CERN) , Michel H.G. Tytgat (Brussels) This is my paper

classification ✦ hep-th hep-ph

keywords effectiveenergyfieldfinitefreeordersupersymmetrictemperature

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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 g^2 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 (g^2 N)^(3/2), but it can be extended to higher order corrections.

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${\cal N}=4$ supersymmetric Yang-Mills thermodynamics to order $\lambda^{5/2}$
hep-th 2026-04 unverdicted novelty 6.0

Resummed perturbative free energy of N=4 SYM is calculated to order λ^{5/2} at finite temperature, yielding a UV and IR finite result after including ring diagrams.