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

Abstract

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.

12 pages, 3 figures

References in corpus (9)

• EXO 0748-676 Rules out Soft Equations of State for Neutron Star Matter
• Quark matter in compact stars?
• Susceptibilities near the QCD (tri)critical point
• QCD Critical Point and Complex Chemical Potential Singularities
• On the existence of the critical point in finite density lattice QCD
• The calculation of the equation of state of QCD at finite chemical potential and zero temperature
• Quark number susceptibility around the critical end point
• Searching for the Critical Point of QCD: Theoretical Benchmark Calculations
• The Quark Number Susceptibility in Hard-Thermal-Loop Approximation

Cited by in corpus (6)

• Bag model and quark star
• A thermodynamically consistent quasi-particle model without density-dependent infinity of the vacuum zero point energy
• Model Study of a Quark Star
• A model study of quark number susceptibility at finite temperature beyond rainbow-ladder approximation
• Treating divergence in quark matter by using energy projectors
• Rotation induced color confinement