Compact worldline 'master formulae' for arbitrary-N photon scattering in strong-field backgrounds are presented, but the derivations are largely deferred to the authors' own prior and companion papers.
Photon Splitting in a Strong Magnetic Field: Recalculation and Comparison With Previous Calculations
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abstract
We recalculate the amplitude for photon splitting in a strong magnetic field below the pair production threshold, using the worldline path integral variant of the Bern--Kosower formalism. Numerical comparison (using programs that we have made available for public access on the Internet) shows that the results of the recalculation are identical to the earlier calculations of Adler and later of Stoneham, and to the recent recalculation by Baier, Milstein, and Shaisultanov.
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Worldline Modeling of Ultra-Intense Lasers for N-photon Scattering Processes
Compact worldline 'master formulae' for arbitrary-N photon scattering in strong-field backgrounds are presented, but the derivations are largely deferred to the authors' own prior and companion papers.