Abstract
A new version of the model of a relativistic particle with curvature and torsion considered in V. V. Nesterenko [J. Math. Phys. 32, 3315 (1991)] is investigated. Two integrals along the world trajectory of its curvature and torsion are added to the standard action for the pointlike 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. 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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