Radiation reaction on charged particles in threedimensional motion in classical and quantum electrodynamics
Abstract
We extend our previous work [A. Higuchi and G. D. R. Martin, Found. Phys. 35, 1149 (2005)], which compared the predictions of quantum electrodynamics concerning radiation reaction with those of the AbrahamLorentzDirac theory for a charged particle in linear motion. Specifically, we calculate the predictions for the change in position of a chargedscalar particle, moving in threedimensional space, due to the effect of radiation reaction in the onephotonemission process in quantum electrodynamics. The scalar particle is assumed to be accelerated for a finite period of time by a threedimensional electromagnetic potential dependent only on one of the spacetime coordinates. We perform this calculation in the ({Dirac_h}/2{pi}){yields}0 limit and show that the change in position agrees with that obtained in classical electrodynamics with the LorentzDirac force treated as a perturbation. We also show for a timedependent but spaceindependent electromagnetic potential that the forwardscattering amplitude at order e{sup 2} does not contribute to the position change in the ({Dirac_h}/2{pi}){yields}0 limit after the mass renormalization is taken into account.
 Authors:
 Department of Mathematics, University of York, Heslington, York YO10 5DD (United Kingdom)
 Publication Date:
 OSTI Identifier:
 20795763
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. D, Particles Fields; Journal Volume: 73; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevD.73.025019; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHARGED PARTICLES; COORDINATES; DISTURBANCES; MASS RENORMALIZATION; PHOTON EMISSION; POTENTIALS; QUANTUM ELECTRODYNAMICS; SCALARS; SCATTERING AMPLITUDES; SPACE; SPACETIME; THREEDIMENSIONAL CALCULATIONS; TIME DEPENDENCE
Citation Formats
Higuchi, Atsushi, and Martin, Giles D. R.. Radiation reaction on charged particles in threedimensional motion in classical and quantum electrodynamics. United States: N. p., 2006.
Web. doi:10.1103/PHYSREVD.73.0.
Higuchi, Atsushi, & Martin, Giles D. R.. Radiation reaction on charged particles in threedimensional motion in classical and quantum electrodynamics. United States. doi:10.1103/PHYSREVD.73.0.
Higuchi, Atsushi, and Martin, Giles D. R.. Sun .
"Radiation reaction on charged particles in threedimensional motion in classical and quantum electrodynamics". United States.
doi:10.1103/PHYSREVD.73.0.
@article{osti_20795763,
title = {Radiation reaction on charged particles in threedimensional motion in classical and quantum electrodynamics},
author = {Higuchi, Atsushi and Martin, Giles D. R.},
abstractNote = {We extend our previous work [A. Higuchi and G. D. R. Martin, Found. Phys. 35, 1149 (2005)], which compared the predictions of quantum electrodynamics concerning radiation reaction with those of the AbrahamLorentzDirac theory for a charged particle in linear motion. Specifically, we calculate the predictions for the change in position of a chargedscalar particle, moving in threedimensional space, due to the effect of radiation reaction in the onephotonemission process in quantum electrodynamics. The scalar particle is assumed to be accelerated for a finite period of time by a threedimensional electromagnetic potential dependent only on one of the spacetime coordinates. We perform this calculation in the ({Dirac_h}/2{pi}){yields}0 limit and show that the change in position agrees with that obtained in classical electrodynamics with the LorentzDirac force treated as a perturbation. We also show for a timedependent but spaceindependent electromagnetic potential that the forwardscattering amplitude at order e{sup 2} does not contribute to the position change in the ({Dirac_h}/2{pi}){yields}0 limit after the mass renormalization is taken into account.},
doi = {10.1103/PHYSREVD.73.0},
journal = {Physical Review. D, Particles Fields},
number = 2,
volume = 73,
place = {United States},
year = {Sun Jan 15 00:00:00 EST 2006},
month = {Sun Jan 15 00:00:00 EST 2006}
}

ON THE RELATIVISTIC MOTION OF TWO CHARGED PARTICLES IN CLASSICAL ELECTRODYNAMICS
The relativistic, classical motion of a pair of charged particles interacting through their electromagnetic field is described by the equation of evolution for the density distribution function in the phase space of the particles. This equation is obtained (to second order in the charges) by the method of perturbation treatment of the Liouville equation for the system of particles plus field. There is no Hamiltonian for the pair of particles. The pair distribution function is, however, a constant of the motion and its equation of motion is a Liouville equation with a Hermitian Liouville operator. A one particle Hamiltonian maymore » 
EQUATIONS FOR CHARGED PARTICLE MOTION IN CLASSICAL ELECTRODYNAMICS (in Russian)
A method of evaluating emissions from charged particles in motion in an electromagnetic field is discussed. (R.V.J.)