论文标题

在非常特殊的相对论中的轴向异常上

On the axial anomaly in Very Special Relativity

论文作者

Alfaro, Jorge

论文摘要

在本文中,我们研究了使用Pauli-Villars的非常特殊的相对性电动力学的轴向异常,并将紫外线差异的尺寸正则化和红外线分歧的Mandelstam-Leibbrandt正则化。我们在2和4维时时间计算异常。我们发现,此过程保留了矢量病房的身份(电荷保护),并在2和4维度中重现标准轴向异常,而无需校正VSR。最后,我们展示了如何在路径积分方法中获得异常。

In this paper we study the axial anomaly in Very Special Relativity Electrodynamics using Pauli-Villars and dimensional regularization of ultraviolet divergences and Mandelstam-Leibbrandt regularization of infrared divergences. We compute the anomaly in 2 and 4 dimensional space-time. We find that this procedure preserves the vector Ward identity(charge conservation) and reproduce the standard axial anomaly in 2 and 4 dimensions without corrections from VSR. Finally, we show how to obtain the anomaly in the path integral approach.

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