Related papers: Phase-Integral Formulation of Dynamically Assisted Schwinger Pair Production

Phase-Integral Formulation of Dynamically Assisted Schwinger Pair Production

URL: http://arxiv.org/abs/2109.10268v1
Date: Tue, 21 Sep 2021 15:48:22 GMT
Title: Phase-Integral Formulation of Dynamically Assisted Schwinger Pair Production
Authors: Chul Min Kim, Alexander Fedotov and Sang Pyo Kim
Abstract summary: We present a phase-integral formulation of dynamically assisted Schwinger pair production of scalar charges. We find pair production density under a strong low-frequency field and a weak high-frequency field.
Score: 68.8204255655161
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We present a phase-integral formulation of dynamically assisted Schwinger pair production of scalar charges to find the pair production density under a strong low-frequency field and a weak high-frequency field. The leading WKB action was the Schwinger formula determined by the constant field, whose corrections are determined by the Keldysh parameter for the oscillating field, $m\omega_{q}/qE_{q}$. We found a systematic expression of the leading WKB action as a power series in the Keldysh parameter, of which coefficients are given as integrals of the product of fields in the complex time domain. For the case of a strong constant field superimposed with a weak oscillating field, we provided explicit formulas and proposed a procedure for numerical evaluation. The presented phase-integral formulation should provide a clear simple method for quantitatively analyzing the leading-order features of dynamically assisted Schwinger pair production.

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