Radiation reaction and renormalization via conservation laws of the Poincare group

Details Radiation reaction and renormalization via conservation laws of the Poincare group Radiation reaction and renormalization via conservation laws of the Poincare group

2009-07-17

arxiv.org/abs/0907.3079v1

Journal of Physical Studies 8, No.3 (2004)

Physics

Mathematical Physics

14 pages, 3 figures

Scientific paper

We consider the self-action problem in classical electrodynamics of a point-like charge arbitrarily moving in flat space-time of four or six dimensions. A consistent regularization procedure is proposed which exploits the symmetry properties of the theory. The energy-momentum and angular momentum balance equations allow us to derive the radiation reaction forces in both 4D and 6D. It is shown that a point-like source in 6D possesses an internal angular momentum with magnitude which is proportional to the square of acceleration. 6D action functional contains, apart from usual "bare" mass, an additional renormalization constant which corresponds to the curvature of the world line (i.e. to the magnitude of internal angular momentum of "bare" particle). It is demonstrated that the {\it Poincar\'e-invariant} six-dimensional electrodynamics is renormalizable theory.

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