Worldline Instantons II: The Fluctuation Prefactor

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dc.creatorDunne, Gerald V.
dc.creatorGies, Holger
dc.creatorSchubert, Christian
dc.creatorWang, Qing-hai
dc.date2006-02-17
dc.date2006-03-30
dc.date.accessioned2026-07-07T10:45:59Z
dc.date.available2026-07-07T10:45:59Z
dc.descriptionIn a previous paper [1], it was shown that the worldline expression for the nonperturbative imaginary part of the QED effective action can be approximated by the contribution of a special closed classical path in Euclidean spacetime, known as a worldline instanton. Here we extend this formalism to compute also the prefactor arising from quantum fluctuations about this classical closed path. We present a direct numerical approach for determining this prefactor, and we find a simple explicit formula for the prefactor in the cases where the inhomogeneous electric field is a function of just one spacetime coordinate. We find excellent agreement between our semiclassical approximation, conventional WKB, and recent numerical results using numerical worldline loops.
dc.description28 pages, 1 figure; v2 references added, version in PRD
dc.identifierhttps://arxiv.org/abs/hep-th/0602176
dc.identifierhttp://arxiv.org/abs/hep-th/0602176
dc.identifierPhys.Rev.D73:065028,2006
dc.identifierdoi:10.1103/PhysRevD.73.065028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183087
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.titleWorldline Instantons II: The Fluctuation Prefactor
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