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World-line instantons and the Schwinger effect as a Wentzel-Kramers-Brillouin exact path integral
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
2015 (English)In: Journal of Mathematical Physics, ISSN 0022-2488, E-ISSN 1089-7658, Vol. 56, no 2, 022111Article in journal (Refereed) Published
Abstract [en]

A detailed study of the semiclassical expansion of the world line path integral for a charged relativistic particle in a constant external electric field is presented. We show that the Schwinger formula for charged particle pair production is reproduced exactly by the semiclassical expansion around classical instanton solutions when the leading order of fluctuations is taken into account. We prove that all corrections to this leading approximation vanish and that the WKB approximation to the world line path integral is exact.

Place, publisher, year, edition, pages
2015. Vol. 56, no 2, 022111
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-164003DOI: 10.1063/1.4908556ISI: 000350548200022Scopus ID: 2-s2.0-84923913963OAI: oai:DiVA.org:kth-164003DiVA: diva2:810699
Funder
EU, FP7, Seventh Framework Programme, 317089
Note

QC 20150508

Available from: 2015-05-08 Created: 2015-04-13 Last updated: 2017-12-04Bibliographically approved

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