A $U(N)$ Gauge Theory in Three Dimensions as an Ensemble of Surfaces

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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8p, Phys. Lett. B, to appear

Scientific paper

10.1016/0370-2693(91)91464-7

A particular $U(N)$ gauge theory defined on the three dimensional
dodecahedral lattice is shown to correspond to a model of oriented
self-avoiding surfaces. Using large $N$ reduction it is argued that the model
is partially soluble in the planar limit.

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