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

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.

7 pages

References in corpus (5)

• Gravitational self force in extreme mass-ratio inspirals
• Self-force on a scalar particle in a class of wormhole spacetimes
• Self-force of a point charge in the space-time of a symmetric wormhole
• Electrostatic interaction of a pointlike charge with a wormhole
• Self-force on a scalar point charge in the long throat

Cited by in corpus (3)

• Self-action in Gravity
• Self-force of a scalar charge in the space-time of extreme charged anti-dilatonic wormhole
• Scalar self-force on static charge in a long throat