Dirac's Observables for Yang-Mills Theory with Fermions

Details Dirac's Observables for Yang-Mills Theory with Fermions Dirac's Observables for Yang-Mills Theory with Fermions

1994-02-03

arxiv.org/abs/hep-th/9402023v1

Int.J.Mod.Phys.A10:3675-3757,1995

Physics

High Energy Physics

High Energy Physics - Theory

(e-mail: lusanna@fi.infn.it), 180 p., plain tex

Scientific paper

10.1142/S0217751X95001753

A canonical basis of global Dirac's observables for Yang-Mills theory with fermions are obtained in a functional space in which Gribov ambiguity is absent and Gauss' laws can be solved exactly. In terms of these observables, one can express the Lagrangian, the Hamiltonian, non-Abelian and topological charges. The problem of the covariantization of these non-local and non-polynomial quantities is solved. From a relativistic presymplectic approach to the localization of the relativistic center-of-mass of the field configuration, a ultraviolet cutoff is deduced.

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