Abstract:
A generalized Hamiltonian formalism is constructed for a relativistic particle with torsion in a DD-dimensional spacetime. The complete set of constraints is found and separated into first-and second-class constraints. The canonical quantization of the theory is treated on this basis. For D=3D=3 in the sector of the theory without tachyon states, a spectral equation relating the square of the mass of a state to its spin and the parameters of the model is obtained. With
increasing spin, the mass of the state decreases. Various forms of wave equation are constructed in operator form, and the particle propagator is found. The possibility of describing states with integer, half-integer, and continuous values of the spin (D=3D=3) in the framework of this model is demonstrated.
Citation:
V. V. Nesterenko, “Relativistic particle with action that depends on the torsion of the world trajectory”, TMF, 86:2 (1991), 244–256; Theoret. and Math. Phys., 86:2 (1991), 169–178
\Bibitem{Nes91}
\by V.~V.~Nesterenko
\paper Relativistic particle with action that depends on the torsion of the world trajectory
\jour TMF
\yr 1991
\vol 86
\issue 2
\pages 244--256
\mathnet{http://mi.mathnet.ru/tmf5439}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1107705}
\transl
\jour Theoret. and Math. Phys.
\yr 1991
\vol 86
\issue 2
\pages 169--178
\crossref{https://doi.org/10.1007/BF01016168}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1991GH61300008}
Linking options:
https://www.mathnet.ru/eng/tmf5439
https://www.mathnet.ru/eng/tmf/v86/i2/p244
This publication is cited in the following 6 articles:
Matej Pavšič, “Rigid Particle and its Spin Revisited”, Found Phys, 37:1 (2007), 40
B.P. Kosyakov, V.V. Nesterenko, “Stability of Zitterbewegung of a rigid particle”, Physics Letters B, 384:1-4 (1996), 70
V. G. Zima, S. A. Fedoruk, “Covariant quantization of d=4d=4 Brink–Schwarz superparticle with using of Lorentz harmonics”, Theoret. and Math. Phys., 102:3 (1995), 305–322
Yu.A. Kuznetsov, M.S. Plyushhchay, “The model of the relativistic particle with curvature and torsion”, Nuclear Physics B, 389:1 (1993), 181
Jan Govaerts, “A quantum anomaly for rigid particles”, Physics Letters B, 293:3-4 (1992), 327
Yu.A. Kuznetsov, M.S. Plyuschay, “Tachyonless models of relativistic particles with curvature and torsion”, Physics Letters B, 297:1-2 (1992), 49
Citation in format AMSBIB
Contact us: