Remarks on two-loop free energy inN=4supersymmetric Yang-Mills theory at finite temperature

A. Fotopoulos, T. R. Taylor
1999 Physical Review D, Particles and fields  
The strong coupling behavior of finite temperature free energy in N=4 supersymmetric SU(N) Yang-Mills theory has been recently discussed by Gubser, Klebanov and Tseytlin in the context of AdS-SYM correspondence. In this note, we focus on the weak coupling behavior. As a result of a two-loop computation we obtain, in the large N 't Hooft limit, F(g^2N→ 0)≈ -π^2/6N^2V_3T^4(1-3/2π^2g^2N). Comparison with the strong coupling expansion provides further indication that free energy is a smooth monotonic function of the coupling constant.
doi:10.1103/physrevd.59.061701 fatcat:tfvvac3zo5codiza72atdh66uu