MATRIX MODELS AND QCD WITH CHEMICAL POTENTIAL
MATRIX MODELS AND QCD WITH CHEMICAL POTENTIAL
复制标题
具有化学势的矩阵模型和 QCD
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
G. Akemann
中科院分区：
文献类型：
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作者：
G. Akemann
综述了化学势不为零的量子色动力学的随机矩阵模型方法。介绍了利用整体对称性的一般概念，以及它与场论的关系，即手征微扰理论(∊χ-PT)的埃西隆区域。两种类型的矩阵模型结果是不同的：唯象应用导致相图，以及QCD Dirac算符光谱与∊χPT匹配的精确极限。总结了具有化学势的复矩阵模型和辛矩阵模型的所有已知解析结果，分别适用于普通QCD和伴随QCD的对称类。其中包括实化学势在复平面上的狄拉克算符本征值的关联函数，以及虚同位旋化学势在实平面上的狄拉克算符本征值的关联函数。文中还讨论了这些预测与最近的晶格模拟的比较。
The random matrix model approach to quantum chromodynamics (QCD) with nonvanishing chemical potential is reviewed. The general concept using global symmetries is introduced, as well as its relation to field theory, the so-called epsilon regime of chiral perturbation theory (∊χPT). Two types of matrix model results are distinguished: phenomenological applications leading to phase diagrams, and an exact limit of the QCD Dirac operator spectrum matching with ∊χPT. All known analytic results for the spectrum of complex and symplectic matrix models with chemical potential are summarised for the symmetry classes of ordinary and adjoint QCD, respectively. These include correlation functions of Dirac operator eigenvalues in the complex plane for real chemical potential, and in the real plane for imaginary isospin chemical potential. Comparisons of these predictions to recent lattice simulations are also discussed.