标题： 手征磁效应和轴奇异现象 显示英文标题

标题： The Chiral Magnetic Effect and Axial Anomalies

摘要： 我们基于强磁场下的最低朗道能级投影，结合二维和四维时空中的已知轴向反常，给出手征磁效应的初等推导。 该论证是普遍的，基于狄拉克算子的舒尔分解。 在维度约化的理论中，手征磁效应直接与佩尔斯不稳定性在相对论形式中的表现相关，导致凝聚态的螺旋形式，即手征磁螺旋。 随后，我们讨论了由于强磁场导致的自旋投影与由于瞬子导致的手征性投影之间在QCD和QED中轻费米子的竞争。 零模和近零模的不对称畸变是手征磁效应的另一个方面。 显示英文摘要

摘要： We give an elementary derivation of the chiral magnetic effect based on a strong magnetic field lowest-Landau-level projection in conjunction with the well-known axial anomalies in two- and four-dimensional space-time. The argument is general, based on a Schur decomposition of the Dirac operator. In the dimensionally reduced theory, the chiral magnetic effect is directly related to the relativistic form of the Peierls instability, leading to a spiral form of the condensate, the chiral magnetic spiral. We then discuss the competition between spin projection, due to a strong magnetic field, and chirality projection, due to an instanton, for light fermions in QCD and QED. The resulting asymmetric distortion of the zero modes and near-zero modes is another aspect of the chiral magnetic effect.