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

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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 121, Number 3, Pages 412–423
DOI: https://doi.org/10.4213/tmf819 (Mi tmf819)

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

Full-text PDF (228 kB) Citations (7)

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DOI: https://doi.org/10.4213/tmf819

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

English version:
Theoretical and Mathematical Physics, 1999, Volume 121, Issue 3, Pages 1606–1616
DOI: https://doi.org/10.1007/BF02557206

Bibliographic databases:

Language: Russian

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

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/tmf819

https://doi.org/10.4213/tmf819

https://www.mathnet.ru/eng/tmf/v121/i3/p412

This publication is cited in the following 7 articles:

Victor Chetverikov, Igor Mamsurov, 2022 Moscow Workshop on Electronic and Networking Technologies (MWENT), 2022, 1
Khalilov V.R., “Radiative Dynamical Mass of Planar Charged Fermion in a Constant Homogeneous Magnetic Field”, Eur. Phys. J. C, 79:3 (2019), 196
G. Murguía, A. Raya, Carbon Nanostructures, GraphITA 2011, 2012, 147
Raya A., Reyes E., “Fermion condensate and vacuum current density induced by homogeneous and inhomogeneous magnetic fields in (2+1) dimensions”, Phys Rev D, 82:1 (2010), 016004
Murguia G., Raya A., Sanchez A., Reyes E., “The electron propagator in external electromagnetic fields in low dimensions”, American Journal of Physics, 78:7 (2010), 700–707
V. R. Khalilov, “Neutral Fermion Having Electric and Magnetic Moments in an External Electromagnetic Field”, Theoret. and Math. Phys., 129:1 (2001), 1357–1368
V. R. Khalilov, “Polarization of vacuum by an external magnetic field in the $(2+1)$-dimensional quantum electrodynamics with a nonzero fermion density”, Theoret. and Math. Phys., 125:1 (2000), 1413–1430

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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