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

A bstract 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 stat...

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Bibliographic Details
Published in:The journal of high energy physics 2013-12, Vol.2013 (12), p.1-43, Article 55
Main Authors: Mogliacci, Sylvain, Andersen, Jens O., Strickland, Michael, Su, Nan, Vuorinen, Aleksi
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Elementary Particles
Equations of state
High energy physics
Joining
Lattices
Mathematical analysis
Perturbation theory
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quark-gluon plasma
Reduction
Relativity Theory
State of the art
String Theory
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP12(2013)055