A GENERAL METHOD FOR CALCULATING PARTITION FUNCTION OF QCD AT FINITE CHEMICAL POTENTIAL
A GENERAL METHOD FOR CALCULATING PARTITION FUNCTION OF QCD AT FINITE CHEMICAL POTENTIAL
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DOI：
10.1142/s0217751x07036683
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发表时间：
2007-07
影响因子：
1.6
通讯作者：
Wei-Min Sun;H. Zong
中科院分区：
文献类型：
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作者：
Wei-Min Sun;H. Zong
本文提出了有限化学势下QCD配分函数的一般计算方法。结果表明，在有限的化学势下，配分函数完全由被修饰的夸克传播子决定，直至乘法常数。由此得到了Nambu相和Wigner相之间相变的判据。这一一般方法被应用于两种特殊情况：自由夸克理论和在H.Pagels和S.Stokar，Phys中提出的具有模型装饰性夸克传播子的QCD。修订版D20,2947(1979)。在第一种情况下，重现了T=0时的标准费米分布。在第二种情况下，得到了重子数分布的特殊形式。结果表明，当μ低于某一临界值时，重子数密度为零，这与M.A.Halasz等人的结论是一致的。修订版D58,096007(1998年)。本文的所有结果都是在T=0和μ≠为0的条件下得到的。然而，它们可以推广到一般情况T≠0和μ≠0，而不存在根本困难。
In this paper we propose a general method for calculating the partition function of QCD at finite chemical potential. It is found that the partition function is totally determined by the dressed quark propagator at finite chemical potential up to a multiplicative constant. From this a criterion for the phase transition between the Nambu and the Wigner phase is obtained. This general method are applied to two specific cases: the free quark theory and QCD with a model dressed quark propagator proposed in H. Pagels and S. Stokar, Phys. Rev. D20, 2947 (1979). In the first case, the standard Fermi distribution at T = 0 are reproduced. In the second case, a particular form of baryon number distribution is obtained. It is found that when μ is below a critical value, the baryon number density is identically zero, which agrees with the general conclusion in M. A. Halasz et al., Phys. Rev. D58, 096007 (1998). All the results in the present paper are obtained under the condition T = 0 and μ ≠ 0. However, they can be generalized to the the general situation T ≠ 0 and μ ≠ 0 without fundamental difficulty.