Lagrangian for the Frenkel electron

Abstract

We found Lagrangian action which describes spinning particle on the base of non-Grassmann vector and involves only one auxiliary variable. It provides the right number of physical degrees of freedom and yields generalization of the Frenkel and BMT equations to the case of an arbitrary electromagnetic field. For a particle with anomalous magnetic moment, singularity in the relativistic equations generally occurs at the speed different from the speed of light.

Original language	English
Pages (from-to)	278-282
Number of pages	5
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	736
DOIs	https://doi.org/10.1016/j.physletb.2014.07.029
Publication status	Published - 7 Sep 2014

Keywords

Dirac equation
Semiclassical description of relativistic spin
Theories with constraints
Ultrarelativistic spinning particle

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/j.physletb.2014.07.029

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title = "Lagrangian for the Frenkel electron",

abstract = "We found Lagrangian action which describes spinning particle on the base of non-Grassmann vector and involves only one auxiliary variable. It provides the right number of physical degrees of freedom and yields generalization of the Frenkel and BMT equations to the case of an arbitrary electromagnetic field. For a particle with anomalous magnetic moment, singularity in the relativistic equations generally occurs at the speed different from the speed of light.",

keywords = "Dirac equation, Semiclassical description of relativistic spin, Theories with constraints, Ultrarelativistic spinning particle",

author = "Deriglazov, {Alexei A.}",

year = "2014",

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AB - We found Lagrangian action which describes spinning particle on the base of non-Grassmann vector and involves only one auxiliary variable. It provides the right number of physical degrees of freedom and yields generalization of the Frenkel and BMT equations to the case of an arbitrary electromagnetic field. For a particle with anomalous magnetic moment, singularity in the relativistic equations generally occurs at the speed different from the speed of light.

KW - Dirac equation

KW - Semiclassical description of relativistic spin

KW - Theories with constraints

KW - Ultrarelativistic spinning particle

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JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

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SN - 0370-2693