Chemical potential and the gap equation
Chemical potential and the gap equation
复制标题
DOI：
10.1103/physrevd.78.116015
复制
发表时间：
2008-07
影响因子：
5
通讯作者：
Huan Chen;Wei-Chun Yuan;Lei Chang;Yu-xin Liu;T. Klahn;C. Roberts
中科院分区：
文献类型：
--
作者：
Huan Chen;Wei-Chun Yuan;Lei Chang;Yu-xin Liu;T. Klahn;C. Roberts
一般来说，QCD间隙方程的核具有解析性域，在此域上，方程的非零化学势解可以简单地通过解析延拓从真空结果中得到。在这个域中，单夸克数和标量密度分布函数是$\ensuremath{\mu}$独立的。这通过间隙方程核的两个模型来说明。这两个模型在红外集中支持方面是相似的。它们在顶点的形式上有所不同，但在质量上，结果在很大程度上对Ansatz不敏感。在真空中，两种模型都实现了nambugoldstone模式下的手性对称，在手性极限下，随着化学势的增加，它们在$\ensuremath{\mu}\ensuremath{\approx}M(0)$处表现出一阶手性对称，其中$M({p}^{2})$为打扮夸克质量函数。
In general, the kernel of QCD's gap equation possesses a domain of analyticity upon which the equation's solution at nonzero chemical potential is simply obtained from the in-vacuum result through analytic continuation. On this domain the single-quark number- and scalar-density distribution functions are $\ensuremath{\mu}$ independent. This is illustrated via two models for the gap equation's kernel. The models are alike in concentrating support in the infrared. They differ in the form of the vertex, but qualitatively the results are largely insensitive to the Ansatz. In vacuum both models realize chiral symmetry in the Nambu-Goldstone mode, and in the chiral limit, with increasing chemical potential, they exhibit a first-order chiral symmetry restoring transition at $\ensuremath{\mu}\ensuremath{\approx}M(0)$, where $M({p}^{2})$ is the dressed-quark mass function.