Massive relativistic particle model with spin from free two-twistor dynamics and its quantization

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dc.creatorde Azcarraga, Jose A.
dc.creatorFrydryszak, Andrzej
dc.creatorLukierski, Jerzy
dc.creatorMiquel-Espanya, Cesar
dc.date2005-10-19
dc.date2006-05-04
dc.date.accessioned2026-07-07T11:06:14Z
dc.date.available2026-07-07T11:06:14Z
dc.descriptionWe consider a relativistic particle model in an enlarged relativistic phase space M^{18} = (X_μ, P_μ, η_α, \oeta_\dalpha, σ_α, \osigma_\dalpha, e, ϕ), which is derived from the free two-twistor dynamics. The spin sector variables (η_α, \oeta_\dalpha, σ_α,\ osigma_\dalpha) satisfy two second class constraints and account for the relativistic spin structure, and the pair (e,ϕ) describes the electric charge sector. After introducing the Liouville one-form on M^{18}, derived by a non-linear transformation of the canonical Liouville one-form on the two-twistor space, we analyze the dynamics described by the first and second class constraints. We use a composite orthogonal basis in four-momentum space to obtain the scalars defining the invariant spin projections. The first-quantized theory provides a consistent set of wave equations, determining the mass, spin, invariant spin projection and electric charge of the relativistic particle. The wavefunction provides a generating functional for free, massive higher spin fields.
dc.descriptionFTUV-05-0919, IFIC-05-46, IFT UWr 0110/05. Plain latex file, no macros, 22 pages. A comment and references added. To appear in PRD15
dc.identifierhttps://arxiv.org/abs/hep-th/0510161
dc.identifierhttp://arxiv.org/abs/hep-th/0510161
dc.identifierPhys.Rev.D73:105011,2006
dc.identifierdoi:10.1103/PhysRevD.73.105011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189453
dc.subjectHigh Energy Physics - Theory
dc.titleMassive relativistic particle model with spin from free two-twistor dynamics and its quantization
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