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Keywords = diffeomorphims

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26 pages, 400 KiB  
Article
Perturbative and Non-Pertrubative Trace Anomalies
by Loriano Bonora
Symmetry 2021, 13(7), 1292; https://doi.org/10.3390/sym13071292 - 18 Jul 2021
Cited by 6 | Viewed by 2283
Abstract
We study the definition of trace anomalies for models of Dirac and Weyl fermions coupled to a metric and a gauge potential. While in the non-perturbative case the trace anomaly is the response of the effective action to a Weyl transformation, the definition [...] Read more.
We study the definition of trace anomalies for models of Dirac and Weyl fermions coupled to a metric and a gauge potential. While in the non-perturbative case the trace anomaly is the response of the effective action to a Weyl transformation, the definition in a perturbative approach is more involved. In the latter case, we use a specific formula proposed by M.Duff, of which we present a physical interpretation. The main body of the paper consists in deriving trace anomalies with the above formula and comparing them with the corresponding non-perturbative results. We show that they coincide and stress the basic role of diffeomorphism invariance for the validity of the approach. Full article
(This article belongs to the Special Issue Manifest and Hidden Symmetries in Field and String Theories)
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