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      Free Energy of a Hot Gluon Plasma and hard-thermal-loop Resummation

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          Abstract

          In this talk I briefly discuss the thermodynamics of the quark-gluon plasma The calculation of the free energy of a hot gluon plasma to leading order in hard-thermal-loop perturbation theory is outlined. The HTL free energy is compared with the weak-coupling expansion and lattice results.

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          On the Convergence of Perturbative QCD at High Temperature

          , (2009)
          The free energy for QCD at high temperature \(T\) is calculated to order \(g^5\) using effective-field-theory methods to separate the contributions from the momentum scales \(T\) and \(gT\). The effects of the scale \(T\) enter through the coefficients in the effective lagrangian for the 3-dimensional effective theory obtained by dimensional reduction. The perturbation series for these coefficients seem to be well-behaved if the running coupling constant is sufficiently small: \(\alpha_s(2 \pi T) \ll 1\). For the contribution to the free energy from the scale \(gT\), the perturbation series is well-behaved only if \(\alpha_s(2 \pi T)\) is an order of magnitude smaller. The implication for applications of perturbative QCD to the quark-gluon plasma are briefly discussed.
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            Non-perturbative Debye mass in finite T QCD

            K. Rummukainen, M. Laine, K. Kajantie … (1997)
            Employing a non-perturbative gauge invariant definition of the Debye screening mass m_D in the effective field theory approach to finite T QCD, we use 3d lattice simulations to determine the leading O(g^2) and to estimate the next-to-leading O(g^3) corrections to m_D in the high temperature region. The O(g^2) correction is large and modifies qualitatively the standard power-counting hierarchy picture of correlation lengths in high temperature QCD.
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              Author and article information

              Journal
              Publication date Created: 09 July 1999
              Publication date Updated: 1999-07-13
              Article
              DOI: 10.1016/S0375-9474(99)00706-X
              ArXiV ID: hep-ph/9907287
              SO-VID: 39598001-0e8e-4ee8-837c-eccf3cd4184b
              History
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              Journal reference Nucl.Phys. A663 (2000) 733-736
              Comments 4 pages, 2 figures, LaTeX. Talk given at 15th International Conference on Particle and Nuclei (PANIC 99), Uppsala, Sweden, 10-16 June 1999
              Categories hep-ph

              ScienceOpen disciplines: High energy & Particle physics
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              ScienceOpen disciplines: High energy & Particle physics

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