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Nonlinear trident using WKB and worldline instantons
Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstraße 400, Dresden, Germany; Institut für Theoretische Physik, Technische Universität Dresden, Dresden, Germany.
Umeå University, Faculty of Science and Technology, Department of Physics.ORCID iD: 0000-0001-5442-8297
2025 (English)In: Physical Review D: covering particles, fields, gravitation, and cosmology, ISSN 2470-0010, E-ISSN 2470-0029, Vol. 112, no 3, p. 1-32, article id 036005Article in journal (Refereed) Published
Abstract [en]

We consider nonlinear trident, e− → e−e−e+, in various electric background fields. This process has so far been studied for plane-wave backgrounds, using Volkov solutions. Here we first use WKB for trident in time-dependent electric fields, and then for fields which vary slowly in space. Then we show how to use worldline instantons for more general fields which depend on both time and space. For time-dependent fields the WKB approach is at least as simple to use as the worldline approach, but already the relatively modest step of including a slow spatial dependence makes the worldline approach much more efficient.

Place, publisher, year, edition, pages
American Physical Society, 2025. Vol. 112, no 3, p. 1-32, article id 036005
Keywords [en]
Nonperturbative effects in field theory, Particle production, Path integrals, Electrons, Positrons
National Category
Fusion, Plasma and Space Physics Statistical physics and complex systems
Identifiers
URN: urn:nbn:se:umu:diva-246977DOI: 10.1103/vpyq-qs23ISI: 001549360200004Scopus ID: 2-s2.0-105022422938OAI: oai:DiVA.org:umu-246977DiVA, id: diva2:2019213
Available from: 2025-12-05 Created: 2025-12-05 Last updated: 2025-12-09Bibliographically approved

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Torgrimsson, Greger

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