Rigid particle revisited: extrinsic curvature yields the Dirac equation
High Energy Physics - Theory
2014-12-01 v3 Mathematical Physics
math.MP
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 -algebra yields massive Dirac equation.
Keywords
Cite
@article{arxiv.1303.0483,
title = {Rigid particle revisited: extrinsic curvature yields the Dirac equation},
author = {Alexei Deriglazov and Armen Nersessian},
journal= {arXiv preprint arXiv:1303.0483},
year = {2014}
}
Comments
4 pages, minor corrections, references added, Phys. Lett. A (in print)