Covariant Worldline Numerics for Charge Motion with Radiation Reaction

Details Covariant Worldline Numerics for Charge Motion with Radiation Reaction Covariant Worldline Numerics for Charge Motion with Radiation Reaction

2010-12-14

arxiv.org/abs/1012.3082v1

Phys.Rev.D83:076013,2011

Physics

Classical Physics

21 pages, 6 figures

Scientific paper

10.1103/PhysRevD.83.076013

We develop a numerical formulation to calculate the classical motion of charges in strong electromagnetic fields, such as those occurring in high-intensity laser beams. By reformulating the dynamics in terms of SL(2,C) matrices representing the Lorentz group, our formulation maintains explicit covariance, in particular the mass-shell condition. Considering an electromagnetic plane wave field where the analytic solution is known as a test case, we demonstrate the effectiveness of the method for solving both the Lorentz force and the Landau-Lifshitz equations. The latter, a second order reduction of the Lorentz-Abraham-Dirac equation, describes radiation reaction without the usual pathologies.

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