Random matrix model for chiral and color-flavor locking condensates
Random matrix model for chiral and color-flavor locking condensates
复制标题
手性和色味锁定缩合物的随机矩阵模型
DOI：
10.1103/physrevd.85.094032
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发表时间：
2012
影响因子：
5
通讯作者：
K. Yamazaki
中科院分区：
文献类型：
--
作者：
T. Sano;K. Yamazaki
研究了在有限温度和有限化学势下具有三种夸克味的手征随机矩阵模型的相图，将手征和双夸克凝聚作为独立的序参量。通过Fierz变换，确定夸克-反夸克和夸克-夸克通道的耦合强度比，发现在大化学势区实现色味锁定（CFL）相，而在小化学势区出现普通手征破缺相.我们研究了在三个等质量味和三个等质量味的情况下，通过改变小夸克质量来改变相位的响应。在三种等质量味剂的情况下，我们发现有限质量使CFL相变线向高密度区移动。在有味道的情况下，我们发现由于味道之间的有限不对称性，在中等密度区域的双味道的颜色超导相，以及在较高密度区域的CFL相。
We study the phase diagram of a chiral random matrix model with three quark flavors at finite temperature and chemical potential, taking the chiral and diquark condensates as independent order parameters. Fixing the ratio of the coupling strengths in the quark-antiquark and quark-quark channels applying the Fierz transformation, we find that the color-flavor locked (CFL) phase is realized at large chemical potential, while the ordinary chirally broken phase appears in the region with small chemical potential. We investigate responses of the phases by changing small quark masses in the cases with three equal-mass flavors and withflavors. In the case with three equal-mass flavors, we find that the finite masses make the CFL phase transition line move to the higher-density region. In the case withflavors, we find the two-flavor color-superconducting phase at the medium-density region as a result of the finite asymmetry between the flavors, as well as the CFL phase at the higher-density region.