随机矩阵理论在QCD中的应用手册
Handbook Article on Applications of Random Matrix Theory to QCD
摘要：
在牛津随机矩阵理论手册的这一章中，我们介绍了具有QCD整体对称性的手征随机矩阵理论。在微观领域，这些理论再现了QCD的质量和化学势依赖性。这一章的主要重点是QCD狄拉克算子的谱性质和手征随机矩阵理论与手征拉格朗日量之间的关系。讨论了非零化学势下反厄米狄拉克算子的谱和非厄米狄拉克算子的谱。
英文摘要：
In this chapter of the Oxford Handbook of Random Matrix Theory we introduce chiral Random Matrix Theories with the global symmetries of QCD. In the microscopic domain, these theories reproduce the mass and chemical potential dependence of QCD. The main focus of this chapter is on the spectral properties of the QCD Dirac operator and relations between chiral Random Matrix Theories and chiral Lagrangians. Both spectra of the anti-hermitian Dirac operator and spectra of the nonhermitian Dirac operator at nonzero chemical potential are discussed.
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