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arXiv · hep-th/9305177

On the model of the relativistic particle with curvature and torsion

V. V. Nesterenko
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Abstract

Two integrals along the world trajectory of its curvature and torsion are added to the standard action for the point-like spinless relativistic particle. Since here the three-dimensional space-time is considered at the beginning, the torsion of the world curve is defined with a sign in contrast to the previous consideration: V. V. Nesterenko, J. Math. Phys. 32, 3315 (1991). Upon obtaining a complete set of constraints in the phase space a generalized Hamiltonian description of a new version of the model is constructed. This enables one to quantize the model canonically and to derive exactly the relation between the spin and mass of the states.

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V. V. Nesterenko. 1993-05-29. On the model of the relativistic particle with curvature and torsion. https://doi.org/10.1063/1.530271

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