Abstract
The creation of charged fermion pairs by a strong external Coulomb field in a space with two dimensions is investigated. Exact solutions to the Dirac equation are found for the Coulomb external field in 2+1 dimensions. The equation for determining the critical charge is obtained and is numerically solved for a simplified model. The critical charge for 2+1 dimensions is much less than the critical charge for the similar model with 3+1 dimensions. The influence of the vacuum polarization on the critical charge is studied in the one-loop approximation to the (2+1)-dimensional quantum electrodynamics.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 116, No. 2, pp. 277–287, August, 1998.
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Khalilov, V.R. Fermion pair creation by a strong Coulomb field in 2+1 dimensions. Theor Math Phys 116, 956–963 (1998). https://doi.org/10.1007/BF02557137
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DOI: https://doi.org/10.1007/BF02557137