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Schwinger Pair Production via Polons and the Origin of Stokes Phenomena
New Phys.: Sae Mulli 2018; 68: 1225~1230
Published online November 30, 2018;
© 2018 New Physics: Sae Mulli.

Sang Pyo KIM*

Department of Physics, Kunsan National University, Kunsan 54150, Korea
Correspondence to:
Received October 2, 2018; Accepted October 4, 2018.
cc This is an open-access article distributed under the terms of the Creative Commons Attribution Non-Commercial License ( which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
Schwinger pair production of electrons and positrons in a strong electric field is a prediction of nonperturbative quantum field theory, in which the out-vacuum is superposed of multi-particle states of the in-vacuum. Solving the Dirac or Klein-Gordon equation in the background field, though a linear wave equation, and finding the pair-production rate is a difficult or nontrivial job. The phase-integral method has recently been introduced to compute the pair production in space-dependent electric fields, and a complex analysis method has been employed to calculate the pair production in time-dependent electric fields. In this paper, we apply the complex analysis method to a Sauter-type electric field and other hyperbolic-type electric fields that vanish in the past and future and show that the Stokes phenomena in pair production occur when the time-dependent frequency for a given momentum has finite simple poles (polons) with pure imaginary residues.
PACS numbers: 12.20.Ds, 11.15.Tk, 11.80.-m, 02.30.Fn
Keywords: Schwinger effect, Strong QED, Complex analysis, Stokes phenomena

February 2019, 69 (2)
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