Integrability and duality in two-dimensional QCD

Abstract

We consider bosonized $QC{D}_2$, and prove that after rewritting the theory in terms of gauge invariant fields, there exists an integrability condition valid for the quantum theory as well. Furthermore, performing a duality type transformation we obtain an appropriate action for the description of the strong coupling limit, which is still integrable. We also prove that the model displays a complicated set of constraints, restricting the dynamics of part of the theory, but which are necessary to maintain the positive metric Hilbert space.

31 pages, plain tex prep. CERN-TH.7354/94, July 1994, with corrections in the text and references

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