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arXiv 2101.09504hep-phnucl-th
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平行电磁场作用下手征不平衡和手征磁效应

Chirality imbalance and chiral magnetic effect under a parallel electromagnetic field

Hayato Aoi, Katsuhiko Suzuki

摘要:

在不假设人工手征非对称源的情况下,研究了平行外电磁场作用下手征不平衡$n_5$和手征磁效应(CME)的时间演化。本文采用含时索特型电场和恒定磁场,得到了有质量费米子狄拉克方程的解析解。我们用点分裂正则化方法计算了真空在规范不变量下的贡献。结果发现,随着电场的增大,$n_5$和CME电流显著增大,而在电场关闭后,电流保持有限。手征不平衡和CME电流被证明是由一个占主导地位的贡献,这是基本上成比例的相对论速度,和一个小的振荡部分。我们发现了$n_5$和真空中费米子对产生率之间的一个简单的解析关系。我们还详细讨论了手性不平衡的动力学根源。

英文摘要:

We study the time evolution of the chirality imbalance $n_5$ and the chiral magnetic effect (CME) under the external parallel electromagnetic fields without assuming the artificial chiral asymmetric source. We adopt the time-dependent Sauter-type electric and constant magnetic field, and obtain analytical solutions of the Dirac equation for a massive fermion. We use the point-split regularization to calculate the vacuum contribution in the gauge invariant way. As a result, we find that $n_5$ and CME current increase substantially as the electric field increases, and stay finite after the electric field is switched off. The chirality imbalance and CME current are shown to consist of a dominant contribution, which is essentially proportional to relativistic velocity, and a small oscillating part. We find a simple analytical relation between $n_5$ and the fermion pair-production rate from the vacuum. We also discuss dynamical origin of the chirality imbalance in detail.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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