Radiation reaction and renormalization in classical electrodynamics PI of a point particle in any dimension

Abstract

The effective equations of motion for a point charged particle taking into account the radiation reaction are considered in various space-time dimensions. The divergences stemming from the pointness of the particle are studied and an effective renormalization procedure is proposed encompassing uniformly the cases of all even dimensions. It is shown that in any dimension the classical electrodynamics is a renormalizable theory if not multiplicatively beyond d=4. For the cases of three and six dimensions the covariant analogues of the Lorentz-Dirac equation are explicitly derived.

Original language	English
Article number	025017
Journal	Physical Review D
Volume	66
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevD.66.025017
Publication status	Published - 2002
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)
Physics and Astronomy(all)
Nuclear and High Energy Physics
Mathematical Physics

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10.1103/PhysRevD.66.025017

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abstract = "The effective equations of motion for a point charged particle taking into account the radiation reaction are considered in various space-time dimensions. The divergences stemming from the pointness of the particle are studied and an effective renormalization procedure is proposed encompassing uniformly the cases of all even dimensions. It is shown that in any dimension the classical electrodynamics is a renormalizable theory if not multiplicatively beyond d=4. For the cases of three and six dimensions the covariant analogues of the Lorentz-Dirac equation are explicitly derived.",

author = "Kazinski, {P. O.} and Lyakhovich, {S. L.} and Sharapov, {A. A.}",

year = "2002",

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Y1 - 2002

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AB - The effective equations of motion for a point charged particle taking into account the radiation reaction are considered in various space-time dimensions. The divergences stemming from the pointness of the particle are studied and an effective renormalization procedure is proposed encompassing uniformly the cases of all even dimensions. It is shown that in any dimension the classical electrodynamics is a renormalizable theory if not multiplicatively beyond d=4. For the cases of three and six dimensions the covariant analogues of the Lorentz-Dirac equation are explicitly derived.

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Radiation reaction and renormalization in classical electrodynamics PI of a point particle in any dimension

Abstract

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