Discrete worldline instantons
Discrete worldline instantons
Schneider, C.; Torgrimsson, G.; Schützhold, R.
Abstract
The semiclassical approximation of the worldline path integral is a powerful tool to study non-perturbative 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 multidimensional fields, and apply it to some example cases.
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Physical Review D (2018), 085009
DOI: 10.1103/PhysRevD.98.085009
Cited 21 times in Scopus
Permalink: https://www.hzdr.de/publications/Publ-28619