We consider bosonized QCD2, and prove that after one rewrites the theory in terms of gauge-invariant fields, there exists an integrability condition that is 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, which restrict the dynamics of part of the theory, but which are necessary for maintaining the positive metric Hilbert space.
Quantum theory of collective strong coupling of molecular vibrations with a microcavity mode
