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

P. O. Kazinski, S. L. Lyakhovich, A. A. Sharapov

Research output: Contribution to journalArticle

47 Citations (Scopus)

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 languageEnglish
Article number025017
JournalPhysical Review D
Volume66
Issue number2
DOIs
Publication statusPublished - 2002
Externally publishedYes

Fingerprint

Electrodynamics
electrodynamics
Renormalization
Radiation
radiation
Dirac Equation
Dirac equation
Equations of Motion
Divergence
divergence
charged particles
equations of motion
Space-time
analogs
Analogue

ASJC Scopus subject areas

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

Cite this

Radiation reaction and renormalization in classical electrodynamics PI of a point particle in any dimension. / Kazinski, P. O.; Lyakhovich, S. L.; Sharapov, A. A.

In: Physical Review D, Vol. 66, No. 2, 025017, 2002.

Research output: Contribution to journalArticle

Kazinski, P. O. ; Lyakhovich, S. L. ; Sharapov, A. A. / Radiation reaction and renormalization in classical electrodynamics PI of a point particle in any dimension. In: Physical Review D. 2002 ; Vol. 66, No. 2.
@article{36a3fc1c37ce431eb4103bbca2529f78,
title = "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.",
author = "Kazinski, {P. O.} and Lyakhovich, {S. L.} and Sharapov, {A. A.}",
year = "2002",
doi = "10.1103/PhysRevD.66.025017",
language = "English",
volume = "66",
journal = "Physical review D: Particles and fields",
issn = "1550-7998",
publisher = "American Institute of Physics Publising LLC",
number = "2",

}

TY - JOUR

T1 - Radiation reaction and renormalization in classical electrodynamics PI of a point particle in any dimension

AU - Kazinski, P. O.

AU - Lyakhovich, S. L.

AU - Sharapov, A. A.

PY - 2002

Y1 - 2002

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=0037101259&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037101259&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.66.025017

DO - 10.1103/PhysRevD.66.025017

M3 - Article

VL - 66

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 2

M1 - 025017

ER -