Non-Perturbative Approach to Bosonic Multi-Pair Creation
in Arbitrary External Fields¹

Q. Su^{a, b,} *, Y. T. Li^b, and R. Grobe^{a, c}

^a Intense Laser Physics Theory Unit and Department of Physics, Illinois State University, Normal, IL 61790-4560 USA

^b Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences,
Beijing, 100190 China

^c Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, D-69117 Heidelberg Germany

*e-mail: qcsu@ilstu.edu

Received October 25, 2011; in final form, November 4, 2011; published online March 6, 2012

Abstract—We study the bosonic pair creation from the vacuum by an external force field of arbitrary strength
and shape in space and time. Our approach is similar to the computational quantum field theory developed for
fermions. The non-perturbative solutions enable us to study the single and multiple boson-antiboson pair
dynamics. The closed-form analytical expressions are based on the set of solutions to the time dependent Klein–
Gordon equation that may be obtained numerically. In contrast to the dynamics for electron/positron pairs, the
boson pair creation is not limited by the Paul exclusion principle and reveals an enhancement of the vacuum’s
decay rate.

DOI: 10.1134/S1054660X12040226

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