Solution of the SU(2) Mandelstam Constraints

Abstract

It is shown how the Mandelstam constraints for an $SU(2)$ pure lattice gauge theory with $3\mathcal{N}$ physical degrees of freedom may be solved completely in terms of $3\mathcal{N}$ Wilson and Polyakov loop variables and $\mathcal{N}-1$ gauge invariant discrete +/-1 variables, thus enabling a manifestly gauge invariant formulation of the theory.

Comments: 13 pages Latex, preprint CPT-93/P.2963