Kinematical theory of spinning particles: The interaction Lagrangian for two spin 1/2 Dirac particles

dc.creatorRivas, Martin
dc.date2006-08-08
dc.date.accessioned2026-07-07T10:26:37Z
dc.date.available2026-07-07T10:26:37Z
dc.descriptionThe concept of elementary particle rests on the idea that it is a physical system with no excited states, so that all possible states of the particle are just kinematical modifications of any one of them. In this way instead of describing the particle attributes it amounts to describe the collection of consecutive inertial observers who describe the particle in the same kinematical state. The kinematical state space of an elementary particle is a homogeneous space of the kinematical group.By considering the largest homogeneous spaces of both, Galilei and Poincare groups, it is shown how the spin structure is related to the different degrees of freedom. Finally, the spacetime symmetry group of a relativistic particle which satisfies Dirac's equation when quantized, is enlarged to take into account additional symmetries like spacetime dilations and local rotations. An interaction Lagrangian invariant under this enlarged group is proposed and the compound system of two Dirac particles is analyzed.
dc.descriptionPlenary lectures at the Advanced Studies Institute, Symmetries and Spin, Prague 19-26 July 2006. 13 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/physics/0608089
dc.identifierhttp://arxiv.org/abs/physics/0608089
dc.identifierCzech.J.Phys.56:F9-F24,2006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/176943
dc.subjectGeneral Physics
dc.titleKinematical theory of spinning particles: The interaction Lagrangian for two spin 1/2 Dirac particles
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