Improved Approximations for Fermion Pair Production in Inhomogeneous Electric Fields

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dc.creatorKim, Sang Pyo
dc.creatorPage, Don N.
dc.date2007-01-08
dc.date2007-01-31
dc.date.accessioned2026-07-07T11:03:05Z
dc.date.available2026-07-07T11:03:05Z
dc.descriptionReformulating the instantons in a complex plane for tunneling or transmitting states, we calculate the pair-production rate of charged fermions in a spatially localized electric field, illustrated by the Sauter electric field E_0 sech^2 (z/L), and in a temporally localized electric field such as E_0 sech^2 (t/T). The integration of the quadratic part of WKB instanton actions over the frequency and transverse momentum leads to the pair-production rate obtained by the worldline instanton method, including the prefactor, of Phys. Rev. D72, 105004 (2005) and D73, 065028 (2006). It is further shown that the WKB instanton action plus the next-to-leading order contribution in spinor QED equals the WKB instanton action in scalar QED, thus justifying why the WKB instanton in scalar QED can work for the pair production of fermions. Finally we obtain the pair-production rate in a spatially localized electric field together with a constant magnetic field in the same direction.
dc.descriptionRevTex, 12 pages, two figures; replaced by the version accepted in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/hep-th/0701047
dc.identifierhttp://arxiv.org/abs/hep-th/0701047
dc.identifierPhys.Rev.D75:045013,2007
dc.identifierdoi:10.1103/PhysRevD.75.045013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/188468
dc.subjectHigh Energy Physics - Theory
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectNuclear Theory
dc.titleImproved Approximations for Fermion Pair Production in Inhomogeneous Electric Fields
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