Two-loop HTL-resummed thermodynamics for N=4 supersymmetric Yang-Mills theory

Abstract

We compute the two-loop hard-thermal-loop (HTL) resummed thermodynamic potential for N=4 supersymmetric Yang-Mills (SYM). Our final result is manifestly gauge-invariant and was renormalized using only simple vacuum energy, gluon mass, scalar mass, and quark mass counter terms. The HTL mass parameters m_D, M_D, and m_q are then determined self-consistently using a variational prescription which results in a set of coupled gap equations. Based on this, we obtain the two-loop HTL-resummed thermodynamic functions of N=4 SYM. We compare our final result with known results obtained in the weak- and strong-coupling limits. We also compare to previously obtained approximately self-consistent HTL resummations and Padé approximants. We find that the two-loop HTL resummed results for the scaled entropy density is a quantitatively reliable approximation to the scaled entropy density for 0 <= lambda <~ 2 and is in agreement with previous approximately self-consistent HTL resummation results for lambda <~ 6.

38 pages, 7 figures

References in corpus (7)

• Phase Diagram of N=4 Super-Yang-Mills Theory with R-Symmetry Chemical Potentials
• NNLO hard-thermal-loop thermodynamics for QCD
• Three-loop HTL gluon thermodynamics at intermediate coupling
• Four-loop screened perturbation theory
• Thermodynamics and Phase Structure of the Two-Flavor Nambu--Jona-Lasinio Model Beyond Large-N_c
• Applicability of the Linear delta Expansion for the lambda phi^4 Field Theory at Finite Temperature in the Symmetric and Broken Phases
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Cited by in corpus (2)

• NNLO HTLpt predictions for the curvature of the QCD phase transition line
• Scheme dependence of two-loop HTLpt-resummed ${\text{SYM}}_{4,4}$ thermodynamics