Hamiltonian Constraints and Dirac's Observables: from Relativistic Particles towards Field Theory and General Relativity.

Details Hamiltonian Constraints and Dirac's Observables: from Relativistic Particles towards Field Theory and General Relativity. Hamiltonian Constraints and Dirac's Observables: from Relativistic Particles towards Field Theory and General Relativity.

1995-01-24

arxiv.org/abs/hep-th/9501112v1

Physics

High Energy Physics

High Energy Physics - Theory

Plain TEX, 15 pages, Talk given at the Workshop "Geometry of Constrained Dynamical Systems", June 15-18, 1994, Cambridge, UK.

Scientific paper

A review is given of the presymplectic approach to relativistic physical systems and of the determination of their Dirac's observables. After relativistic mechanics and Nambu string, the Dirac's observables of Yang-Mills theory with fermions are given for the case of massless vector bosons (like in QED). A Dirac-Yukawa-like intrinsic ultraviolet cut-off is identified from the study of the covariantization of Hamiltonian classical field theory in the Dirac-Tomonaga-Schwinger sens. The implications fo the solution of the constraints of tetrad gravity are shown.

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