Renormalization of the charged scalar field in curved space

Details Renormalization of the charged scalar field in curved space Renormalization of the charged scalar field in curved space

1995-09-07

arxiv.org/abs/gr-qc/9509015v1

Phys.Rev. D53 (1996) 3285-3295

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

24 pages REVTex

Scientific paper

10.1103/PhysRevD.53.3285

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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