2002
DOI: 10.1103/physrevd.66.025017
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Radiation reaction and renormalization in classical electrodynamics of a point particle in any dimension

Abstract: The effective equations of motion for a point charged particle taking account of radiation reaction are considered in various space-time dimensions. The divergencies steaming from the pointness of the particle are studied and the 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 covar… Show more

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Cited by 65 publications
(140 citation statements)
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“…(22) tells us that the retarded Green's function for odd dimensions is non-zero inside the light cone. The consequence, as has been emphasized by different authors [19,22,24], is that for odd D the Huygens principle does not hold: the fact that the retarded Green's function support extends to the interior of the light cone implies the appearance of radiative tails in (16). In other words, we still have a propagation phenomenum for the wave equation in odd dimensional spacetimes, in so far as a localized initial state requires a certain time to reach a point in space.…”
Section: B the Plane Wave Solutionsmentioning
confidence: 66%
“…(22) tells us that the retarded Green's function for odd dimensions is non-zero inside the light cone. The consequence, as has been emphasized by different authors [19,22,24], is that for odd D the Huygens principle does not hold: the fact that the retarded Green's function support extends to the interior of the light cone implies the appearance of radiative tails in (16). In other words, we still have a propagation phenomenum for the wave equation in odd dimensional spacetimes, in so far as a localized initial state requires a certain time to reach a point in space.…”
Section: B the Plane Wave Solutionsmentioning
confidence: 66%
“…Following the technique introduced in [3] and [6] after changes = s + σ one can rewrite equation (14) as…”
Section: Integration Of Equations Of Motionmentioning
confidence: 99%
“…For solving (6), on can make the Fourier transform of the whole equation. The resulting equation reads…”
Section: The Green Function For the Wave Equationmentioning
confidence: 99%
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