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Massive Relativistic Particle Model with Spin and Electric Charge from Two-Twistor Dynamics
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abstract
The sixteen real coordinates of two-twistor space are transformed by a nonlinear mapping into an enlarged space-time framework. The standard relativistic phase space of coordinates $(X_\mu, P_\mu)$ is supplemented by a six-parameter spin phase manifold (two pairs $(\eta_\alpha,\sigma_\alpha)$ and $(\bar{\eta}_{\dot\alpha}, \bar{\sigma}_{\dot{\alpha}})$ of canonically conjugated Weyl spinors constrained by two second class constraints) and the electric charge phase space ($e,\phi$). The free two-twistor classical mechanics is rewritten in this enlarged relativistic phase space as a model for a relativistic particle. Definite values for the mass, spin and the electric charge of the particle are introduced by means of three first class constraints.
Forward citations
Cited by 3 Pith papers
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Universality in Relativistic Spinning Particle Models
Four relativistic spinning particle models (vector oscillator, spinor oscillator, spherical top, massive twistor) describe identical physics in free and interacting theories within the spin-magnitude-preserving sector.
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Inhomogeneous transformations in a gauged twistor formulation of a massive particle
By extending local U(2) to IU(2) and letting h and \bar h transform as gauge fields, the paper claims that the mass-shell constraints of the Deguchi-Okano twistor action are required by symmetry rather than inserted by hand.
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Twistor approach to classical and quantum D0-brane
A constrained supertwistor approach to the D0-brane is developed, related to the spinor moving frame method, and quantized to yield the spectrum of the massive counterpart of linearized type IIA supergravity.
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