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Regularization parameters for the self-force in Schwarzschild spacetime: scalar case

Regularization parameters for the self-force in Schwarzschild spacetime: scalar case
Regularization parameters for the self-force in Schwarzschild spacetime: scalar case
We derive the explicit values of all regularization parameters (RP) for a scalar particle in an arbitrary geodesic orbit around a Schwarzschild black hole. These RP are required within the previously introduced mode-sum method for calculating the local self-force acting on the particle. In this method, one first calculates the (finite) contribution to the self-force due to each individual multipole mode of the particle’s field, and then applies a certain regularization procedure to the mode sum, involving the RP. The explicit values of the RP were presented in a recent paper [L. Barack et al., Phys. Rev. Lett. 88, 091101 (2002)]. Here we give the full details of the RP derivation in the scalar case. The calculation of the RP in the electromagnetic and gravitational cases will be discussed in an accompanying paper.
1550-7998
084022-[15pp]
Barack, Leor
f08e66d4-c2f7-4f2f-91b8-f2c4230d0298
Ori, Amos
a7e1cc9a-5d14-4e4e-bc3f-6eab0d2f9d64
Barack, Leor
f08e66d4-c2f7-4f2f-91b8-f2c4230d0298
Ori, Amos
a7e1cc9a-5d14-4e4e-bc3f-6eab0d2f9d64

Barack, Leor and Ori, Amos (2002) Regularization parameters for the self-force in Schwarzschild spacetime: scalar case. Physical Review D, 66 (8), 084022-[15pp]. (doi:10.1103/PhysRevD.66.084022).

Record type: Article

Abstract

We derive the explicit values of all regularization parameters (RP) for a scalar particle in an arbitrary geodesic orbit around a Schwarzschild black hole. These RP are required within the previously introduced mode-sum method for calculating the local self-force acting on the particle. In this method, one first calculates the (finite) contribution to the self-force due to each individual multipole mode of the particle’s field, and then applies a certain regularization procedure to the mode sum, involving the RP. The explicit values of the RP were presented in a recent paper [L. Barack et al., Phys. Rev. Lett. 88, 091101 (2002)]. Here we give the full details of the RP derivation in the scalar case. The calculation of the RP in the electromagnetic and gravitational cases will be discussed in an accompanying paper.

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Published date: 2002

Identifiers

Local EPrints ID: 29367
URI: http://eprints.soton.ac.uk/id/eprint/29367
ISSN: 1550-7998
PURE UUID: 7bd45fce-4be9-48e2-be6f-1415a87b6e7a
ORCID for Leor Barack: ORCID iD orcid.org/0000-0003-4742-9413

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Date deposited: 12 May 2006
Last modified: 17 Dec 2019 01:47

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