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Discrete worldline instantons
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The semiclassical approximation of the worldline path integral is a powerful tool to study nonperturbative electron-positron pair creation in spacetime-dependent background fields. Finding solutions of the classical equations of motion, i.e. worldline instantons, is possible analytically only in special cases, and a numerical treatment is nontrivial as well. We introduce a completely general numerical approach based on an approximate evaluation of the discretized path integral that easily and robustly gives the full semiclassical pair production rate in nontrivial multi-dimensional fields, and apply it to some example cases.
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Cited by 2 Pith papers
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Nonlinear trident using WKB and worldline instantons
First WKB and worldline-instanton calculations of nonlinear trident in time-dependent and spacetime-dependent electric fields, including direct and exchange terms and a Coulomb suppression factor.
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Schwinger pair production in spacetime fields: Moir\'e patterns, Aharonov-Bohm phases and Sturm-Liouville eigenvalues
Two spacetime-separated electric pulses generically produce interference in the pair-production momentum spectrum when they are parallel, unlike time-dependent pulses, and can create 2D moiré patterns in the electron-...
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