Dense QCD in a finite volume.
Dense QCD in a finite volume.
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DOI：
10.1103/physrevlett.103.032001
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发表时间：
2009-02
影响因子：
8.6
通讯作者：
N. Yamamoto;T. Kanazawa
中科院分区：
文献类型：
--
作者：
N. Yamamoto;T. Kanazawa
本文研究了有限体积中重子密度较高时的QCD性质，其中色超导性发生在有限体积中。我们导出了有限化学势下Dirac算符的复本征值的精确求和规则，并证明了Dirac谱与色超导能隙δ直接相关.此外，我们还发现了色超导性的一个特征：在原点附近的复夸克质量平面中，配分函数零的X形谱，反映了双夸克配对的Z（2）LxZ（2）R对称性。我们的结果在Delta（-1）<<L<<mpi（-1）范围内是普适的，其中L是系统的线性尺寸，mpi是高密度下的π介子质量.
We study the properties of QCD at high baryon density in a finite volume where color superconductivity occurs. We derive exact sum rules for complex eigenvalues of the Dirac operator at a finite chemical potential, and show that the Dirac spectrum is directly related to the color superconducting gap Delta. Also, we find a characteristic signature of color superconductivity: an X-shaped spectrum of partition function zeros in the complex quark mass plane near the origin, reflecting the Z(2)LxZ(2)R symmetry of the diquark pairing. Our results are universal in the domain Delta(-1)<<L<<mpi(-1) where L is the linear size of the system and mpi is the pion mass at high density.