Magnetically confined electrons and the Nambu–Jona-Lasinio model

Stanley A. Bruce

doi:10.1140/epjp/s13360-021-01502-z

Magnetically confined electrons and the Nambu–Jona-Lasinio model

Stanley A. Bruce^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We investigate the planar nonlinear quantum dynamics of a self-interacting electron in the presence of an external homogeneous magnetic field in 3 + 1 flat space-time dimensions. In cylindrical coordinates, nonlinearities are introduced via the Nambu–Jona-Lasinio interaction. Special attention is given to the strong-field QED regime. We obtain the approximate (nonlinear) ground-state Landau energy levels together with their respective eigenfunctions. We briefly comment on the relevance of this model to elucidate certain processes thought to occur near the surfaces of neutron stars.

Original language	English
Article number	498
Journal	European Physical Journal Plus
Volume	136
Issue number	5
DOIs	https://doi.org/10.1140/epjp/s13360-021-01502-z
State	Published - May 2021

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© 2021, The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.

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abstract = "We investigate the planar nonlinear quantum dynamics of a self-interacting electron in the presence of an external homogeneous magnetic field in 3 + 1 flat space-time dimensions. In cylindrical coordinates, nonlinearities are introduced via the Nambu–Jona-Lasinio interaction. Special attention is given to the strong-field QED regime. We obtain the approximate (nonlinear) ground-state Landau energy levels together with their respective eigenfunctions. We briefly comment on the relevance of this model to elucidate certain processes thought to occur near the surfaces of neutron stars.",

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AB - We investigate the planar nonlinear quantum dynamics of a self-interacting electron in the presence of an external homogeneous magnetic field in 3 + 1 flat space-time dimensions. In cylindrical coordinates, nonlinearities are introduced via the Nambu–Jona-Lasinio interaction. Special attention is given to the strong-field QED regime. We obtain the approximate (nonlinear) ground-state Landau energy levels together with their respective eigenfunctions. We briefly comment on the relevance of this model to elucidate certain processes thought to occur near the surfaces of neutron stars.

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JO - European Physical Journal Plus

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Magnetically confined electrons and the Nambu–Jona-Lasinio model

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