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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)
References:
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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\by V.~R.~Khalilov
\paper QED${}_{2+1}$ radiation effects in a strong magnetic field
\jour TMF
\yr 1999
\vol 121
\issue 3
\pages 412--423
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\crossref{https://doi.org/10.4213/tmf819}
\zmath{https://zbmath.org/?q=an:0967.81007}
\transl
\jour Theoret. and Math. Phys.
\yr 1999
\vol 121
\issue 3
\pages 1606--1616
\crossref{https://doi.org/10.1007/BF02557206}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000085306100005}
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:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:500
    Full-text PDF :234
    References:70
    First page:1
     
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