Abstract
We give exact results for the emission spectra of both nonlinear Breit-Wheeler pair production and nonlinear Compton scattering in ultra-intense, ultra-short duration plane wave backgrounds, modelled as delta-function pulses. This includes closed form expressions for total scattering probabilities. We show explicitly that these probabilities do not exhibit the power-law scaling with intensity associated with the conjectured breakdown of (Furry picture) perturbation theory, instead scaling logarithmically in the high-intensity limit.
Highlights
The coupling of matter to a background field can be arbitrarily strong, requiring nonperturbative methods in the calculation of scattering amplitudes on the background
The first is to provide some exact results for two scattering processes on ultrashort plane wave backgrounds, namely nonlinear Compton scattering [4,5,7] and nonlinear Breit-Wheeler, or stimulated, pair production [4,5,19]
It is well known that the amplitudes for such processes contain highly oscillatory, cumbersome phase integrals which require numerical integration
Summary
We give exact results for the emission spectra of both nonlinear Breit-Wheeler pair production and nonlinear Compton scattering in ultraintense, ultrashort duration plane wave backgrounds, modeled as delta-function pulses. This includes closed form expressions for total scattering probabilities. We show explicitly that these probabilities do not exhibit the power-law scaling with intensity associated with the conjectured breakdown of (Furry picture) perturbation theory, instead scaling logarithmically in the highintensity limit
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