Equation of State for QCD at finite temperature and density. Resummation versus lattice data

The perturbative series for finite-temperature field theories has very poor convergence properties and one needs a way to reorganize it. In this talk, I review two ways of reorganizing the perturbative series for field theories at finite temperature and chemical potential, namely hard-thermal-loop perturbation theory (HTLpt) and dimensional reduction (DR). I will present results for the pressure, trace anomaly, speed of sound, and the quark susceptibilities from a 3-loop HTLpt calculation and for the quark susceptibilities using DR at four loops. A careful comparison with available lattice data shows good agreement for a number of physical quantities.

Note:

Invited talk at 1th Quark Confinement and the Hadron Spectrum, September 8-12 2014, Saint Petersburg, Russia. 12 pages. 18 figs

64.30.Ef
12.38.Mh
12.38.Gc
QCD equation of state
Quark-gluon plasma
Hard-thermal-loop perturbation theory
Lattice QCD calculations
quark: susceptibility
field theory: finite temperature
potential: chemical

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