https://doi.org/10.1140/epjc/s10052-022-10533-4
Regular Article - Theoretical Physics
Bi-local fields interacting with a constant electric field and related problems including the Schwinger effect
1
Department of Physics, College of Science and Technology, Nihon University, 101-8308, Tokyo, Japan
2
Faculty of Medicine, University of Tsukuba, Ten-nohdai 1-1-1, 305-8575, Tsukuba, Japan
3
Junior College, Funabashi Campus, Nihon University, 274-8501, Chiba, Japan
c
naka.shigefumi20@nihon-u.ac.jp
Received:
2
July
2021
Accepted:
14
June
2022
Published online:
6
July
2022
The bi-local fields are the quantum fields of two-particle systems, the bi-local systems, bounded by relativistic potentials. Since those form constrained dynamical systems, it is limited to introduce the interactions of the bi-local fields with other fields. In this paper, the interaction between the bi-local fields and a constant electric field E is studied with consideration for the consistency of constraints. Then, we evaluate the Schwinger effect for the bi-local systems, which gives the pair production probability of the bound states as a function of the charges of respective particles and the coupling constant in the binding potential. Through this analysis, we also discuss the possibility for the dissociation of bi-local systems due to the electric field.
© The Author(s) 2022
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