Two-dimensional dynamics of QCD_3

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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6 pages, LaTeX (revision: references added)

Scientific paper

10.1016/S0370-2693(97)00215-3

Exact loop-variables formulation of pure gauge lattice QCD_3 is derived from the Wilson version of the model. The observation is made that the resulting model is two-dimensional. This significant feature is shown to be a unique property of the gauge field. The model is defined on the infinite genus surface which covers regularly the original three-dimensional lattice. Similar transformation applied to the principal chiral field model in two and three dimensions for comparison with QCD.

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