Thermodynamics of Large-N Super Yang-Mills Theory and AdS/CFT Correspondence

Details Thermodynamics of Large-N Super Yang-Mills Theory and AdS/CFT Correspondence Thermodynamics of Large-N Super Yang-Mills Theory and AdS/CFT Correspondence

1999-05-27

arxiv.org/abs/hep-th/9905205v1

Nucl.Phys. B564 (2000) 430-440

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, Latex, 5 figures

Scientific paper

10.1016/S0550-3213(99)00532-5

Thermodynamics of d=4, N=4 supersymmetric SU(N) Yang-Mills theory is studied with particular attention on perturbative expansion at weak `t Hooft coupling regime and interpolation to strong coupling regime thereof. Non-ideal gas effect to free-energy is calculated and found that leading- and next-to-leading-order corrections contribute with relative opposite sign. Pade approximant method is adopted to improve fixed-order, perturbative series and is found to decrease free-energy monotonically as `t Hooft coupling parameter is increased. This may be regarded as an indication of smooth interpolation of thermodynamics between weak and strong `t Hooft coupling regimes, as suggested by Maldacena's AdS/CFT correspondence.

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