论文标题

在有效的非扰动电子理论中取消异常情况

Anomaly cancellation condition in an effective non-perturbative electroweak theory

论文作者

Mastropietro, Vieri

论文摘要

我们在有效的无质量费米子理论中建立了仪表异常取消条件的非扰动有效性,并具有有限的动量截止和费米相互作用。要求电流保存到小于截止量表的能量小的术语的要求,这是自然条件,因为仪表不变性仅出现,并且与标准模型中的费用相同。由于功能积分由收敛功率系列扩展表达,并且在有限域中进行分析,因此结果保持在非扰动水平。

We establish the non-perturbative validity of the gauge anomaly cancellation condition in an effective electroweak theory of massless fermions with finite momentum cut-off and Fermi interaction. The requirement that the current is conserved up to terms smaller than the energy divided by the cut-off scale, which is the natural condition as gauge invariance is only emerging, produces the same constraint on charges as in the Standard Model. The result holds at a non-perturbative level as the functional integrals are expressed by convergent power series expansions and are analytic in a finite domain.

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