Abstract

In non-Abelian lattice gauge theories, the Gauss's-law constraint is solved, enabling gauge-invariant local dynamics. For the 2+1, SU(2) case, the result is a quantum theory of a discretized membrane. Further, this is equivalent to a theory of integer-valued scalars with derivative interactions and a ``dual'' gauge invariance. This is the dual form of 2+1, SU(2) gauge theory.

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