Hamiltonian Constraints and Dirac's Observables: from Relativistic Particles towards Field Theory and General Relativity.
High Energy Physics - Theory
2016-09-06 v1 General Relativity and Quantum Cosmology
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/9501112,
title = {Hamiltonian Constraints and Dirac's Observables: from Relativistic Particles towards Field Theory and General Relativity.},
author = {Luca LUSANNA},
journal= {arXiv preprint arXiv:hep-th/9501112},
year = {2016}
}
Comments
Plain TEX, 15 pages, Talk given at the Workshop "Geometry of Constrained Dynamical Systems", June 15-18, 1994, Cambridge, UK.