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The Equation of State and Quark Number Susceptibility in Hard-Dense-Loop Approximation

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arxiv 1007.1713 v1 pith:4NCF4I7O submitted 2010-07-10 hep-ph nucl-th

classification hep-phnucl-th
keywords approximationunderfinitequarkcalculatechemicalequationhard-dense-loop
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Based on the method proposed in [ H. S. Zong, W. M. Sun, Phys. Rev. \textbf{D 78}, 054001 (2008)], we calculate the equation of state (EOS) of QCD at zero temperature and finite quark chemical potential under the hard-dense-loop (HDL) approximation. A comparison between the EOS under HDL approximation and the cold, perturbative EOS of QCD proposed by Fraga, Pisarski and Schaffner-Bielich is made. It is found that the pressure under HDL approximation is generally smaller than the perturbative result. In addition, we also calculate the quark number susceptibility (QNS) at finite temperature and finite chemical potential under hard-thermal/dense-loop (HTL/HDL) approximation and compare our results with the corresponding ones in the previous literature.

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