Rigid particle revisited: extrinsic curvature yields the Dirac equation

Abstract

We reexamine the model of relativistic particle with higher-derivative term linear 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.

4 pages, minor corrections, references added, Phys. Lett. A (in print)

References in corpus (5)

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Cited by in corpus (8)

• Recent progress on the description of relativistic spin: vector model of spinning particle and rotating body with gravimagnetic moment in General Relativity
• Frenkel electron and a spinning body in a curved background
• Geometric Constructions Underlying Relativistic Description of Spin on the Base of Non-Grassmann Vector-Like Variable
• Geometric Potential Resulting from Dirac Quantization
• Higher-derivative N=4 superparticle in three-dimensional spacetime
• Spinor and twistor formulations of massless particles with rigidity
• The Four Dimensional Dirac Equation in Five Dimensions
• Twistor formulation of a massive particle with rigidity