The Clifford bundle and the dynamics of the superparticle

• Autorzy: Waldyr A. Rodrigues, Jr. , Jayme Vaz, Jr. , Matej Pavsic
• Języki publikacji: EN

Abstrakty

EN

Using the Clifford bundle formalism we show that Frenet equations of classical differential geometry or its spinor version are the appropriate equations of motion for a classical spinning particle. We show that particular values of the curvatures appearing in Darboux bivector of the spinor form of Frenet equations produce a "classical" Dirac-Hestenes equation. Using the concept of multivector Lagrangians and Hamiltonians we provide a Lagrangian and Hamiltonian approach for our theory which then makes immediately contact with Berezin-Marinov model, the Barut-Zanghi model, and the supercalculus (which acquires an obvious geometrical meaning in terms of geometrical objects living in ordinary spacetime) and suggests calling our theory the dynamics of the superparticle.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1996
• Tom: 37
• Numer: 1
• Strony: 295-314

Daty

wydano

1996

Twórcy

autor

Waldyr A. Rodrigues, Jr.

• Department of Applied Mathematics, State University at Campinas (UNICAMP), CP 6065, 13081-970 Campinas, S.P., Brazil

autor

Jayme Vaz, Jr.

• Department of Applied Mathematics, State University at Campinas (UNICAMP), CP 6065, 13081-970 Campinas, S.P., Brazil

autor

Matej Pavsic

• J. Stefan Institute, University of Ljubljana, 61111 Ljubljana, Slovenia

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