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arXiv · 2201.03231

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

Jean-François Mathiot
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Abstract

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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Jean-François Mathiot. 2022-01-10. The fate of the trace anomaly in a finite formulation of field theory. https://doi.org/10.1142/s0217751x21502651

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