Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 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.

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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
2
The categories of this paper are: math
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn