World-line instantons and the Schwinger effect as a Wentzel-Kramers-Brillouin exact path integral
2015 (English)In: Journal of Mathematical Physics, ISSN 0022-2488, E-ISSN 1089-7658, Vol. 56, no 2, 022111Article in journal (Refereed) Published
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. (C) 2015 AIP Publishing LLC.
Place, publisher, year, edition, pages
2015. Vol. 56, no 2, 022111
IdentifiersURN: urn:nbn:se:uu:diva-251534DOI: 10.1063/1.4908556ISI: 000350548200022OAI: oai:DiVA.org:uu-251534DiVA: diva2:806702