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Equation of state of hot and dense QCD: resummed perturbation theory confronts lattice data

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Abstract

We perform a detailed analysis of the predictions of resummed perturbation theory for the pressure and the second-, fourth-, and sixth-order diagonal quark number susceptibilities in a hot and dense quark-gluon plasma. First, we present an exact one-loop calculation of the equation of state within hard-thermal-loop perturbation theory (HTLpt) and compare it to a previous one-loop HTLpt calculation that employed an expansion in the ratios of thermal masses and the temperature. We find that this expansion converges reasonably fast. We then perform a resummation of the existing four-loop weak coupling expression for the pressure, motivated by dimensional reduction. Finally, we compare the exact one-loop HTLpt and resummed dimensional reduction results with state-of-the-art lattice calculations and a recent mass-expanded three-loop HTLpt calculation.

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Authors and Affiliations

  1. Faculty of Physics, University of Bielefeld, Universitätsstraße 25, D-33615, Bielefeld, Germany

    Sylvain Mogliacci & Nan Su

  2. Department of Physics, Norwegian University of Science and Technology, Høgskoleringen 5, N-7491, Trondheim, Norway

    Jens O. Andersen

  3. Department of Physics, Kent State University, Smith Hall 206B, OH, 44242, Kent, United States

    Michael Strickland

  4. Helsinki Institute of Physics and Department of Physics, University of Helsinki, Gustaf Hällströmin katu 2a, FI-00014, Helsinki, Finland

    Aleksi Vuorinen

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  1. Sylvain Mogliacci
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  2. Jens O. Andersen
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  4. Nan Su
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  5. Aleksi Vuorinen
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Correspondence to Sylvain Mogliacci.

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ArXiv ePrint: 1307.8098

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Mogliacci, S., Andersen, J.O., Strickland, M. et al. Equation of state of hot and dense QCD: resummed perturbation theory confronts lattice data. J. High Energ. Phys. 2013, 55 (2013). https://doi.org/10.1007/JHEP12(2013)055

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  • DOI: https://doi.org/10.1007/JHEP12(2013)055

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