Rigid particle revisited: Extrinsic curvature yields the Dirac equation

Abstract

We reexamine the model of relativistic particle with higher-derivative linear term on the first extrinsic curvature (rigidity). The passage from classical to quantum theory requires a number of rather unexpected steps which we report here. We found that, contrary to common opinion, quantization of the model in terms of so(3.2)-algebra yields massive Dirac equation.

Original language	English
Pages (from-to)	1224-1227
Number of pages	4
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	378
Issue number	18-19
DOIs	https://doi.org/10.1016/j.physleta.2014.02.034
Publication status	Published - 28 Mar 2014

Keywords

Dirac equation
Rigid particles
Semiclassical description of relativistic spin
Theories with constraints

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1016/j.physleta.2014.02.034

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title = "Rigid particle revisited: Extrinsic curvature yields the Dirac equation",

abstract = "We reexamine the model of relativistic particle with higher-derivative linear term on the first extrinsic curvature (rigidity). The passage from classical to quantum theory requires a number of rather unexpected steps which we report here. We found that, contrary to common opinion, quantization of the model in terms of so(3.2)-algebra yields massive Dirac equation.",

keywords = "Dirac equation, Rigid particles, Semiclassical description of relativistic spin, Theories with constraints",

author = "Alexei Deriglazov and Nersessian, {Armen Petrosovich}",

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KW - Semiclassical description of relativistic spin

KW - Theories with constraints

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