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Rigid particle revisited: extrinsic curvature yields the Dirac equation · Around

2013

Rigid particle revisited: extrinsic curvature yields the Dirac equation

Deriglazov, Alexei, Nersessian, Armen

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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.

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