Hamiltonian lattice gauge theories in a loop-dependent magnetic representation

descriptionPublicationkeyboard_double_arrow_right Article 15 Mar 1989 English Publisher:American Physical Society (APS)Journal:Physical Review D, volume 39, pages 1,756-1,760 (issn: 0556-2821,

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Authors: , Di Bartolo C; , Gambini; , Leal;

doi: 10.1103/physrevd.39.1756

pmid: 9959838

Hamiltonian lattice gauge theories in a loop-dependent magnetic representation

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Abstract

We formulate the U(1) and SU(2) lattice Hamiltonians in a loop-dependent magnetic basis. The formulation is gauge invariant and leads to a differential Schroedinger equation whose variables are angles associated with an independent set of closed contours in the lattice. These contours are chosen by solving the Mandelstam identities obeyed by Wilson-loop functionals.

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