Geodesic
Fermion pair creation by a~strong Coulomb field in $2+1$ dimensions
Teoretičeskaâ i matematičeskaâ fizika, Tome 116 (1998) no. 2, pp. 277-287

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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. 
@article{TMF_1998_116_2_a8,
     author = {V. R. Khalilov},
     title = {Fermion pair creation by a~strong {Coulomb} field in $2+1$ dimensions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {277--287},
     publisher = {mathdoc},
     volume = {116},
     number = {2},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1998_116_2_a8/}
}
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V. R. Khalilov. Fermion pair creation by a~strong Coulomb field in $2+1$ dimensions. Teoretičeskaâ i matematičeskaâ fizika, Tome 116 (1998) no. 2, pp. 277-287. http://geodesic.mathdoc.fr/item/TMF_1998_116_2_a8/