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Propagators of charged particles in an external magnetic field, expanded over Landau levels

Division of Theoretical Physics, Department of Physics, Yaroslavl State P. G. Demidov University, Sovietskaya 14, 150000 Yaroslavl, Russian Federation, Russia

E-mail Address: avkuzn@uniyar.ac.ru

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A. A. Okrugin

Division of Theoretical Physics, Department of Physics, Yaroslavl State P. G. Demidov University, Sovietskaya 14, 150000 Yaroslavl, Russian Federation, Russia

E-mail Address: alexander.okrugin@gmail.com

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A. M. Shitova

Division of Theoretical Physics, Department of Physics, Yaroslavl State P. G. Demidov University, Sovietskaya 14, 150000 Yaroslavl, Russian Federation, Russia

E-mail Address: pick@mail.ru

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https://doi.org/10.1142/S0217751X15501407Cited by:5 (Source: Crossref)

Abstract

Various forms of expressions for the propagators of charged particles in a constant magnetic field that should be used for investigations of electroweak processes in an external uniform magnetic fields are discussed. Formulas for the propagators of the Standard Model charged $W$ $W$ - and scalar $Φ$ $Φ$ -bosons in an arbitrary $ξ$ $ξ$ -gauge, expanded over Landau levels, are derived for the first time.

Keywords:

PACS: 14.60.Cd, 14.70.Fm, 12.15.Ji, 12.20.Ds

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