Rigid particle revisited: Extrinsic curvature yields the Dirac equation

Alexei Deriglazov, Armen Petrosovich Nersessian

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)


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 languageEnglish
Pages (from-to)1224-1227
Number of pages4
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number18-19
Publication statusPublished - 28 Mar 2014


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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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