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arXiv · 1111.3438

Renormalization for self-potential of a scalar charge in static space-times

Arkady A. Popov
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Abstract

A method is presented which allows for the renormalization of the self-potential for a scalar point charge at rest in static curved space-time. The method is suitable for the scalar field with arbitrary mass $m$ and coupling to the scalar curvature. The asymptotic behavior of self-potential is obtained in the limit in which the Compton wave-length $1/m$ of the massive scalar field is much smaller than the characteristic scale of curvature of the background gravitational field. The self-force is calculated in this limit.

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Arkady A. Popov. 2011-11-15. Renormalization for self-potential of a scalar charge in static space-times. https://doi.org/10.1103/physrevd.84.064009

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