论文标题

痕量异常的命运在野外理论的有限公式中

The fate of the trace anomaly in a finite formulation of field theory

论文作者

Mathiot, Jean-François

论文摘要

在最近提出的泰勒 - 拉格朗日正规化方案的框架内 - 这导致有限的基本幅度在$ 4 $维度的时空且没有额外的尺寸尺度的情况下,我们表明,即使考虑了量子纠正,也没有显示任何异常贡献。此外,由于我们在该方案中可以想到的唯一重新归一化是对裸参数的有限重新归一化来提供物理参数,因此使用该正则化方案也可以保留量子场的规范维度。

Within the framework of the recently proposed Taylor-Lagrange regularization scheme - which leads to finite elementary amplitudes in $4$-dimensional space-time with no additional dimensionful scales - we show that the trace of the energy-momentum tensor does not show any anomalous contribution even though quantum corrections are considered. Moreover, since the only renormalization we can think of within this scheme is a finite renormalization of the bare parameters to give the physical ones, the canonical dimension of quantum fields is also preserved by the use of this regularization scheme.

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