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arXiv · hep-th/0510161

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

Jose A. de Azcarraga·Andrzej Frydryszak·Jerzy Lukierski·Cesar Miquel-Espanya
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Abstract

We 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.

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Jose A. de Azcarraga, Andrzej Frydryszak, Jerzy Lukierski, Cesar Miquel-Espanya. 2006-05-04. Massive relativistic particle model with spin from free two-twistor dynamics and its quantization. https://doi.org/10.1103/physrevd.73.105011

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