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Three-loop HTL gluon thermodynamics at intermediate coupling

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abstract

We calculate the thermodynamic functions of pure-glue QCD to three-loop order using the hard-thermal-loop perturbation theory (HTLpt) reorganization of finite temperature quantum field theory. We show that at three-loop order hard-thermal-loop perturbation theory is compatible with lattice results for the pressure, energy density, and entropy down to temperatures $T\simeq3\;T_c$. Our results suggest that HTLpt provides a systematic framework that can used to calculate static and dynamic quantities for temperatures relevant at LHC.

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2025 1

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  • The Equation of State of QCD up to very high temperatures hep-lat · 2025-02-06 · conditional · none · ref 9 · internal anchor

    Using shifted boundary conditions, the authors compute s/T^3 in Nf=3 QCD from 3 to 165 GeV and find values a few percent below the Stefan-Boltzmann limit.