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This article is cited in 7 scientific papers (total in 7 papers)
QED${}_{2+1}$ radiation effects in a strong magnetic field
V. R. Khalilov M. V. Lomonosov Moscow State University, Faculty of Physics
Abstract:
We develop the eigenfunction method for the Dirac operator in a background magnetic field in the $(2+1)$-dimensional quantum electrodynamics (QED${}_{2+1}$). In the eigenfunction representation, we find the exact solutions and the Green's functions of the Dirac equation in a strong constant homogeneous magnetic field in $2+1$ dimensions. In the one-loop QED${}_{2+1}$ approximation, we derive the effective Lagrangian, the density of vacuum fermions induced by the field, and the electron mass operator in a homogeneous background magnetic field.
Received: 11.03.1999 Revised: 07.06.1999
Citation:
V. R. Khalilov, “QED${}_{2+1}$ radiation effects in a strong magnetic field”, TMF, 121:3 (1999), 412–423; Theoret. and Math. Phys., 121:3 (1999), 1606–1616
Linking options:
https://www.mathnet.ru/eng/tmf819https://doi.org/10.4213/tmf819 https://www.mathnet.ru/eng/tmf/v121/i3/p412
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Abstract page: | 501 | Full-text PDF : | 234 | References: | 70 | First page: | 1 |
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