Massive-Field Approach to the Scalar Self Force in Curved Spacetime

Abstract

We derive a new regularization method for the calculation of the (massless) scalar self force in curved spacetime. In this method, the scalar self force is expressed in terms of the difference between two retarded scalar fields: the massless scalar field, and an auxiliary massive scalar field. This field difference combined with a certain limiting process gives the expression for the scalar self-force. This expression provides a new self force calculation method.

arXiv comment23 pages, few modifications

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Cited by in corpus (12)

• Self-Force Calculations with Matched Expansions and Quasinormal Mode Sums
• Self-Force with a Stochastic Component from Radiation Reaction of a Scalar Charge Moving in Curved Spacetime
• Self-forces from generalized Killing fields
• Evolution of the Carter constant for a resonant inspiral into a Kerr black hole: I. The scalar case
• Self-force of a point charge in the space-time of a massive wormhole
• Self-force on a scalar charge in radial infall from rest using the Hadamard-WKB expansion
• Self-force on a scalar point charge in the long throat
• Scalar self-force on a static particle in Schwarzschild using the massive field approach
• Scalar self-force on static charge in a long throat
• Self-force of a scalar charge in the space-time of extreme charged anti-dilatonic wormhole
• Renormalization for self-potential of a scalar charge in static space-times
• A Line Source in Minkowski for the de Sitter Spacetime Scalar Green's Function: Massive Case