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 | |
| Publication status | Published - 2002 |
| Externally published | Yes |
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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 journal › Article
}
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.
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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 -