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Paper detail

Covariant Worldline Numerics for Charge Motion with Radiation Reaction

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.

preprint2010arXivOpen access
C. HarveyT. HeinzlN. IjiK. Langfeld
hep-phphysics.comp-phphysics.class-ph
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C. HarveyT. HeinzlN. IjiK. Langfeld

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