Two-dimensional dynamics of QCD_3

Abstract

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.

6 pages, LaTeX (revision: references added)

References in corpus (3)

• Two Dimensional QCD is a String Theory
• Two Dimensional QCD as a String Theory
• Twists and Wilson Loops in the String Theory of Two Dimensional QCD

Cited by in corpus (6)

• Towards a solution of pure Yang-Mills theory in 3+1 dimensions
• Plaquette representation for 3D lattice gauge models: I. Formulation and perturbation theory
• Low-temperature expansion and perturbation theory in 2D models with unbroken symmetry: a new approach
• Exactly Soluble QCD and Confinement of Quarks
• The Color--Flavor Transformation of induced QCD
• On weak coupling expansion in models with unbroken symmetry