A Model Study of Equation of State of QCD at Finite Chemical Potential and Zero Temperature
A Model Study of Equation of State of QCD at Finite Chemical Potential and Zero Temperature
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有限化学势和零温度下QCD状态方程的模型研究
DOI：
10.1088/0253-6102/51/3/24
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发表时间：
2009
影响因子：
3.1
通讯作者：
Zong Hong-Shi
中科院分区：
文献类型：
--
作者：
Hou Feng-Yao;Sun Wei-Min;Jiang Yu;Zong Hong-Shi
在本文中，我们给出了一种计算配分函数的直接方法，从而计算有限化学势和零温度下 QCD 的状态方程（EOS）。在本文推导的EOS中，压力密度是两项之和：第一项P(μ)|μ = 0（μ = 0时的压力密度）是与μ无关的常数；第二项完全由 G[μ](p)（有限 μ 处的修饰夸克传播器）决定，包含所有非平凡的 μ 相关性。通过应用我们之前的研究中获得的戴森-施温格方法的彩虹梯近似的一般结果[Phys。 Rev. C 71 (2005) 015205]，G[μ](p) 是根据 [Phys. Rev. C 71 (2005) 015205] 中提出的亚纯夸克传播器计算得出的。修订版 D 67 (2003) 054019]。由此，获得了有限 μ 和零 T 时 QCD EOS 的完整解析表达式（除了常数项 P(μ)|μ = 0，原则上可以根据 CJT 有效作用计算）。我们的 EOS 与 Fraga、Pisarski 和 Schaffner-Bielich 的 QCD 的冷微扰 EOS 进行了比较。预计我们的EOS可以为中子星的研究提供一种可能的新方法。
In this paper, we give a direct method for calculating the partition function, and hence the equation of state (EOS) of QCD at finite chemical potential and zero temperature. In the EOS derived in this paper the pressure density is the sum of two terms: the first term P(μ)|μ = 0 (the pressure density at μ = 0) is a μ-independent constant; the second term, which is totally determined by G[μ](p) (the dressed quark propagator at finite μ), contains all the nontrivial μ-dependence. By applying a general result in the rainbow-ladder approximation of the Dyson–Schwinger approach obtained in our previous study [Phys. Rev. C 71 (2005) 015205], G[μ](p) is calculated from the meromorphic quark propagator proposed in [Phys. Rev. D 67 (2003) 054019]. From this the full analytic expression of the EOS of QCD at finite μ and zero T is obtained (apart from the constant term P(μ)|μ = 0, which can in principle be calculated from the CJT effective action). A comparison between our EOS and the cold, perturbative EOS of QCD of Fraga, Pisarski and Schaffner–Bielich is made. It is expected that our EOS can provide a possible new approach for the study of neutron stars.