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High Energy Physics - Theory

arXiv:1503.08828 (hep-th)
[Submitted on 30 Mar 2015 (v1), last revised 8 Jul 2015 (this version, v2)]

Title:Pair production from residues of complex worldline instantons

Authors:Anton Ilderton, Greger Torgrimsson, Jonatan Wårdh
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Abstract: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 generalised, complex, reparameterisations.
Comments: 6 pages, 3 pdf/png figures. Matches journal version
Subjects: High Energy Physics - Theory (hep-th); High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:1503.08828 [hep-th]
  (or arXiv:1503.08828v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1503.08828
Journal reference: Phys. Rev. D 92, 025009 (2015)
Related DOI: https://doi.org/10.1103/PhysRevD.92.025009

Submission history

From: Anton Ilderton [view email]
[v1] Mon, 30 Mar 2015 20:00:24 UTC (429 KB)
[v2] Wed, 8 Jul 2015 09:11:04 UTC (431 KB)
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