N- and 1-time Classical Description of N-body Relativistic Kinematics and the Electromagnetic Interaction

Abstract

The intrinsic covariant 1-time description (rest-frame instant form) for N relativistic scalar particles is defined. The system of N charged scalar particles plus the electromagnetic field is described in this way: the study of its Dirac observables allows the extraction of the Coulomb potential from field theory and the regularization of the classical self-energy by using Grassmann-valued electric charges. The 1-time covariant relativistic statistical mechanics is defined.

References in corpus (1)

• Aspects of Galilean and Relativistic Particle Mechanics with Dirac's Constraints

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