SU中磁场诱导的绝缘体-导体相变（2）猝灭格点规范理论
Magnetic-Field-Induced insulator-conductor transition in SU(2) quenched lattice gauge theory
摘要：
本文研究了在外加恒定磁场和手征不变格点Dirac算符作用下，猝灭$SU\lr{2}$格点规范理论中两个矢量流的关联。据发现，在约束阶段的电流平行于磁场的组件的相关器衰减慢得多比在没有磁场，而对于其他组件的相关长度略有减少。我们应用最大熵方法提取相应的谱函数。在零频率的极限，这个谱函数产生淬火理论的电导率。我们发现，在限制阶段的外部磁场诱导沿场的方向的非零电导率，从绝缘体转化为各向异性导体的系统。在去封闭阶段，电导率不表现出对磁场的任何相当大的依赖性。
英文摘要：
We study the correlator of two vector currents in quenched $SU\lr{2}$ lattice gauge theory with a chirally invariant lattice Dirac operator with a constant external magnetic field. It is found that in the confinement phase the correlator of the components of the current parallel to the magnetic field decays much slower than in the absence of a magnetic field, while for other components the correlation length slightly decreases. We apply the maximal entropy method to extract the corresponding spectral function. In the limit of zero frequency this spectral function yields the electric conductivity of the quenched theory. We find that in the confinement phase the external magnetic field induces nonzero electric conductivity along the direction of the field, transforming the system from an insulator into an anisotropic conductor. In the deconfinement phase the conductivity does not exhibit any sizable dependence on the magnetic field.
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