
SIGMA 1 (2005), 012, 10 pages mathph/0511075
https://doi.org/10.3842/SIGMA.2005.012
Radiation Reaction, Renormalization and Poincaré Symmetry
Yurij Yaremko
Institute for Condensed Matter Physics of National Academy of Sciences of Ukraine,
1 Svientsitskii Str., Lviv, 79011 Ukraine
Received July 08, 2005, in final form October 23, 2005; Published online November 01, 2005
Abstract
We consider the selfaction problem in classical
electrodynamics of a massive pointlike charge, as well as of a
massless one. A consistent regularization procedure is proposed,
which exploits the symmetry properties of the theory. The
radiation reaction forces in both 4D and 6D are derived. It is
demonstrated that the Poincaréinvariant sixdimensional
electrodynamics of the massive charge is renormalizable theory.
Unlike the massive case, the rates of radiated energymomentum
tend to infinity whenever the source is accelerated. The external
electromagnetic fields, which do not change the velocity of the
particle, admit only its presence within the interaction area. The
effective equation of motion is the equation for eigenvalues and
eigenvectors of the electromagnetic tensor. The interference part
of energymomentum radiated by two massive point charges
arbitrarily moving in flat spacetime is evaluated. It is shown
that the sum of work done by Lorentz forces of charges acting on
one another exhausts the effect of combination of outgoing
electromagnetic waves generated by the charges.
Key words:
classical electrodynamics; pointlike charges;
Poincaré invariance; conservation laws; renormalization procedure.
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