1995
DOI: 10.1142/s0217751x95000735
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A Geometric Model of the Arbitrary Spin Massive Particle

Abstract: A new model of relativistic massive particle with arbitrary spin ((m, s)-particle) is suggested. Configuration space of the model is a product of Minkowski space and two-dimensional sphere, M 6 = R 3,1 × S 2 . The system describes Zitterbewegung at the classical level. Together with explicitly realized Poincaré symmetry, the action functional turns out to be invariant under two types of gauge transformations having their origin in the presence of two Abelian first-class constraints in the Hamilton formalism. T… Show more

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Cited by 51 publications
(141 citation statements)
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“…This gauge choice, which differs from (17), reduces the phase space of the model to that of a version of the twistor-like particle dynamics, subject to the first pair of the first-class constraints in (18), considered by Eisenberg and Solomon [3]. The constraints (18) form an abelian algebra, as in the D = 3 case.…”
Section: D=4mentioning
confidence: 99%
“…This gauge choice, which differs from (17), reduces the phase space of the model to that of a version of the twistor-like particle dynamics, subject to the first pair of the first-class constraints in (18), considered by Eisenberg and Solomon [3]. The constraints (18) form an abelian algebra, as in the D = 3 case.…”
Section: D=4mentioning
confidence: 99%
“…The consideration follows the general lines used in Ref. [22] where a similar description has been given for the action of ISO(1, 3) on sphere S 2 . In section 3 we give the Hamilton and Lagrange formulations for the minimal anyon model with the configuration manifold…”
Section: Introductionmentioning
confidence: 99%
“…One can bring Eq. (2.3) to a manifestly covariant form introducing (by analogy with the four-dimensional case [22]) two-component objects z α ≡ (1, z) and z α ≡ ǫ αβ z β = (−z, 1) transforming under (2.3) by the law 4) or in the infinitesimal form…”
Section: Introductionmentioning
confidence: 99%
“…There exists some inherent arbitrariness in the choice of G defined by Eqs. (5) and (6). Such a mapping can be equally well replaced by another one and has the general structure…”
Section: Covariant Realization For the Configuration Spacementioning
confidence: 99%
“…In a recent paper [6], we proposed the model for a massive particle of arbitrary spin in d = 4 Minkowski space R 3,1 as a Poincaré-invariant dynamical system on R 3,1 × S 2 , where S 2 is the space of spin degrees of freedom. The model is based on simple physical and geometrical principles.…”
Section: Introductionmentioning
confidence: 99%