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Renormalization of the charged scalar field in curved space

Rhett Herman·William A. Hiscock
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Abstract

The DeWitt-Schwinger proper time point-splitting procedure is applied to a massive complex scalar field with arbitrary curvature coupling interacting with a classical electromagnetic field in a general curved spacetime. The scalar field current is found to have a linear divergence. The presence of the external background gauge field is found to modify the stress-energy tensor results of Christensen for the neutral scalar field by adding terms of the form $(eF)^2$ to the logarithmic counterterms. These results are shown to be expected from an analysis of the degree of divergence of scalar quantum electrodynamics.

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Rhett Herman, William A. Hiscock. 1995-09-07. Renormalization of the charged scalar field in curved space. https://doi.org/10.1103/physrevd.53.3285

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