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

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

2011-11-15

arxiv.org/abs/1111.3438v1

Physical Review D 84, 064009 (2011)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages

Scientific paper

10.1103/PhysRevD.84.064009

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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