Worldline Modeling of Ultra-Intense Lasers for N-photon Scattering Processes

Abstract

The modeling of present and future ultra-intense lasers demands techniques that go beyond the standard diagrammatic approach to non-perturbatively fully capture the effects of strong fields. We illustrate the first-quantized path integral representation for strong-field quantum electrodynamics as a means of accessing the laser being treated as a background field, which is treated without recourse to perturbation theory. We examine an all-multiplicity construction for $N-$photon scattering processes for complex scalars and spinors, showing compact Master Formulae for tree-level scattering. Several background fields are considering including: plane waves, impulsive PP-waves, non-null fields, and homogeneous fields (constant-crossed fields) with low-energy external photons.

13 pages, 2 figures, Proceedings of The 66th American Physical Society (APS) Division of Plasma Physics (DPP) Multi-Petawatt Physics at New and Future Laser User Facilities Collection

References in corpus (6)

• Worldline Instantons II: The Fluctuation Prefactor
• Consequences of Dirac Theory of the Positron
• Classical and quantum particle dynamics in univariate background fields
• Quantum mechanical path integrals in the first quantised approach to quantum field theory
• Schwinger Pair Production in SL$(2,\mathbb{C})$ Topologically Non-Trivial Fields via Non-Abelian Worldline Instantons
• Impact of ion mobility on nonlinear Compton scattering of an ultra-intense laser pulse in a plasma