Integrability and duality in two-dimensional QCD

Details Integrability and duality in two-dimensional QCD Integrability and duality in two-dimensional QCD

1994-07-20

arxiv.org/abs/hep-th/9407128v2

Int.J.Mod.Phys.A10:1611-1640,1995

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1142/S0217751X95000772

We consider bosonized $QCD_2$, 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.

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