论文标题

强磁场中的中等极化张量(II):有限温度和密度下的轴向病房身份

In-medium polarization tensor in strong magnetic fields (II): Axial Ward identity at finite temperature and density

论文作者

Hattori, Koichi, Itakura, Kazunori

论文摘要

我们研究了在强磁场中的大量费米子的轴向病房身份(AWI)。轴向矢量电流的差异在有限的温度和/或密度下,在有效(1+1)维度(1+1)尺寸的极化和异常图之间的关系下,以最低的Landau水平(LLL)实现。我们讨论了在绝热极限和更一般而言的绝热性手性生产率下的真空和中等贡献之间的微妙相互作用。我们还建立了从LLL近似值和幼稚扰动序列中熟悉的三角图之间的明确关系,相对于耦合常数。

We investigate the axial Ward identity (AWI) for massive fermions in strong magnetic fields. The divergence of the axial-vector current is computed at finite temperature and/or density with the help of a relation between the polarization and anomaly diagrams in the effective (1+1) dimensions realized in the lowest Landau level (LLL). We discuss delicate interplay between the vacuum and medium contributions that determines patterns of the spectral flow in the adiabatic limit and, more generally, the diabatic chirality production rate. We also establish an explicit relation between the AWIs from the LLL approximation and from the familiar triangle diagrams in the naive perturbative series with respect to the coupling constant.

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