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Pair production from residues of complex worldline instantons

Journal article
Authors Anton Ilderton
Greger Torgrimsson
Jonatan Wårdh
Published in Physical Review D
Volume 92
Issue 2
ISSN 1550-7998
Publication year 2015
Published at
Language en
Subject categories Physical Sciences


We study nonperturbative pair production in electric fields with lightlike inhomogeneities, using complex worldline instantons. We show that the instanton contribution to the pair production probability is a complex contour integral over the instanton itself, and that pair production in the considered fields can be recast in terms of Cauchy's residue theorem. The instantons contribute residues from the poles they circulate (i.e. give local contributions), and the invariance of complex integrals under contour deformation manifests in the instanton contributions as invariance under a set of generalized, complex, reparametrizations.

Page Manager: Webmaster|Last update: 9/11/2012

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