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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 136, Number 3, Pages 517–528
DOI: https://doi.org/10.4213/tmf1916
(Mi tmf1916)
 

This article is cited in 10 scientific papers (total in 10 papers)

Polarization of the Electron-Positron Vacuum by a Strong Magnetic Field in the Theory with a Fundamental Mass

V. G. Kadyshevskiia, V. N. Rodionovb

a Joint Institute for Nuclear Research
b Moscow State Geological Prospecting Academy
References:
Abstract: In the framework of the theory with a fundamental mass in the one-loop approximation, we evaluate the exact Lagrange function of the strong constant magnetic field, replacing the Heisenberg–Euler Lagrangian in the traditional QED. We establish that the derived generalization of the Lagrange function is real for arbitrary values of the magnetic field. In the weak field, the evaluated Lagrangian coincides with the known Heisenberg–Euler formula. In extremely strong fields, the field dependence of the Lagrangian completely disappears; in this range, the Lagrangian tends to the limit value determined by the ratio of the fundamental and lepton masses.
Keywords: fundamental mass, vacuum polarization, strong fields.
Received: 23.05.2003
English version:
Theoretical and Mathematical Physics, 2003, Volume 136, Issue 3, Pages 1346–1356
DOI: https://doi.org/10.1023/A:1025611618352
Bibliographic databases:
Language: Russian
Citation: V. G. Kadyshevskii, V. N. Rodionov, “Polarization of the Electron-Positron Vacuum by a Strong Magnetic Field in the Theory with a Fundamental Mass”, TMF, 136:3 (2003), 517–528; Theoret. and Math. Phys., 136:3 (2003), 1346–1356
Citation in format AMSBIB
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\by V.~G.~Kadyshevskii, V.~N.~Rodionov
\paper Polarization of the Electron-Positron Vacuum by a Strong Magnetic Field in the Theory with a Fundamental Mass
\jour TMF
\yr 2003
\vol 136
\issue 3
\pages 517--528
\mathnet{http://mi.mathnet.ru/tmf1916}
\crossref{https://doi.org/10.4213/tmf1916}
\transl
\jour Theoret. and Math. Phys.
\yr 2003
\vol 136
\issue 3
\pages 1346--1356
\crossref{https://doi.org/10.1023/A:1025611618352}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000185966500012}
Linking options:
  • https://www.mathnet.ru/eng/tmf1916
  • https://doi.org/10.4213/tmf1916
  • https://www.mathnet.ru/eng/tmf/v136/i3/p517
  • This publication is cited in the following 10 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
    Statistics & downloads:
    Abstract page:603
    Full-text PDF :290
    References:63
    First page:3
     
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