Spin polarized phases in strongly interacting matter: Interplay between axial-vector and tensor mean fields
Spin polarized phases in strongly interacting matter: Interplay between axial-vector and tensor mean fields
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DOI：
10.1103/physrevd.97.114014
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发表时间：
2018-03
影响因子：
5
通讯作者：
T. Maruyama;E. Nakano;K. Yanase;N. Yoshinaga
中科院分区：
文献类型：
--
作者：
T. Maruyama;E. Nakano;K. Yanase;N. Yoshinaga
研究了在零温度和高重子数密度条件下强相互作用物质由于轴矢量和张量型相互作用而产生的自发自旋极化。我们从轴矢量和张量相互作用通道的平均场拉格朗日量出发，发现在手性极限下，由于张量平均场（$U$）引起的自旋极化首先随着耦合常数足够强的密度增加而发生，然后由于轴矢量平均场（$A$）引起的自旋极化在有限张量平均场区域出现。这可以理解为，使轴矢量平均场有限需要某种程度上打破手性对称性，这是由有限张量平均场在本例中实现的。从对称性论证中还发现，在$U\neq0$和$ a =0$ （$U\neq0$和$ a \neq0$）的自旋极化相中存在线性（二次）色散的I （II）型Nambu-Goldstone模式，尽管这两个相表现出相同的对称性破缺模式。
The spontaneous spin polarization of strongly interacting matter due to axial-vector and tensor type interactions is studied at zero temperature and high baryon-number densities. We start with the mean-field Lagrangian for the axial-vector and tensor interaction channels, and find in the chiral limit that the spin polarization due to the tensor mean field ($U$) takes place first as the density increases for sufficiently strong coupling constants, and then that due to the axial-vector mean field ($A$) emerges in the region of finite tensor mean field. This can be understood that making the axial-vector mean field finite requires a broken chiral symmetry somehow, which is achieved by the finite tensor mean field in the present case. It is also found from symmetry argument that there appear the type I (II) Nambu-Goldstone modes with a linear (quadratic) dispersion in the spin polarized phase with $U\neq0$ and $A=0$ ($U\neq0$ and $A\neq0$), although these two phases exhibit the same symmetry breaking pattern.