Universal results from an alternate random-matrix model for QCD with a baryon chemical potential.
Universal results from an alternate random-matrix model for QCD with a baryon chemical potential.
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DOI：
10.1103/physrevlett.93.222001
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发表时间：
2004-03
影响因子：
8.6
通讯作者：
J. Osborn
中科院分区：
文献类型：
--
作者：
J. Osborn
我们引入了具有重子化学势的QCD的一个新的非厄米随机矩阵模型。该模型是先前研究的模型的直接手性扩展，该模型插入在Wigner-Dyson和Ginibre合奏之间。我们使用正交多项式方法给出了任意数量夸克口味的所有特征值相关性的精确结果。我们还发现，模型的参数可以缩放，以消除所有热力学量的化学势的影响，直到达到有限密度相变。这使得该模型及其扩展非常适合于QCD相图的研究。
We introduce a new non-Hermitian random-matrix model for QCD with a baryon chemical potential. This model is a direct chiral extension of a previously studied model that interpolates between the Wigner-Dyson and Ginibre ensembles. We present exact results for all eigenvalue correlations for any number of quark flavors using the orthogonal polynomial method. We also find that the parameters of the model can be scaled to remove the effects of the chemical potential from all thermodynamic quantities until the finite density phase transition is reached. This makes the model and its extensions well suited for studying the phase diagram of QCD.