A gauge-invariant Hamiltonian analysis for non-Abelian gauge theories in (2+1) dimensions

Abstract

The Hamiltonian formulation for a non-Abelian gauge theory in two spatial dimensions is carried out in terms of a gauge-invariant matrix parametrization of the fields. The Jacobian for the relevant transformation of variables is given in terms of the WZW-action for a hermitian matrix field. Some gauge-invariant eigenstates of the kinetic term of the Hamiltonian are given; these have zero charge and exhibit a mass gap.

22 pages, Plain TeX, modifications in sections 3 and 4 to include change of regularization. (This version will be published in Nucl.Phys.B)

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