paper

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

arXiv:2201.03231 · doi:10.1142/S0217751X21502651

Abstract

Within the framework of the recently proposed Taylor-Lagrange regularization scheme - which leads to finite elementary amplitudes in -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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