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Nonperturbative pair production in interpolating fields

Journal article
Authors Anton Ilderton
Greger Torgrimsson
Jonatan Wårdh
Published in Physical Review D
Volume 92
Issue 6
Pages artikel nr 065001
ISSN 1550-7998
Publication year 2015
Published at
Pages artikel nr 065001
Language en
Subject categories Astronomy, Astrophysics and Cosmology


We compare the effects of timelike, lightlike and spacelike one-dimensional inhomogeneities on the probability of nonperturbative pair production in strong fields. Using interpolating coordinates we give a unifying picture in which the effect of the inhomogeneity is encoded in branch cuts and poles circulated by complex worldline instantons. For spacelike inhomogeneities the length of the cut is related to the existence of critical points, while for lightlike inhomogeneities the cut contracts to a pole and the instantons become contractible to points, leading to simplifications particular to the lightlike case. We calculate the effective action in fields with up to three nonzero components, and investigate its behavior under changes in field dependence.

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