论文标题

手性费米子,尺寸正则化和痕量异常

Chiral fermions, dimensional regularization, and the trace anomaly

论文作者

Bastianelli, Fiorenzo, Chiese, Luca

论文摘要

我们研究了尺寸正规化中手性费米的痕量异常,详细考虑了最简单的耦合与Abelian仪表场的耦合。我们将Breitenlohner-Maison/t Hooft-Veltman处方处理用于处理手性矩阵$γ^5 $,并验证痕量异常中没有奇偶校验术语。此处处理的问题类似于最近文献中讨论的弯曲时空中的手性费物。具有简化背景的优点可最大程度地减少代数计算的量,并允许通过维数正则化来更好地指出微妙的点。

We investigate the trace anomaly of a chiral fermion in dimensional regularization, considering in detail the simplest case of coupling to an abelian gauge field. We apply the Breitenlohner-Maison/'t Hooft-Veltman prescription for dealing with the chiral matrix $γ^5$ and verify that no parity-odd term arises in the trace anomaly. The issue treated here is analogous to that of a chiral fermion in curved spacetime, discussed in recent literature. The advantage of having a simplified background minimizes the amount of algebraic calculations and allows pinpointing better the subtle points carried by dimensional regularization.

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