Generalized Two-Dimensional QCD

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LPTENS-94/2, IASSNS-HEP-94/3, and RU-94-8. (harvmac with 4 figures, 23 pp.)

Scientific paper

10.1016/0550-3213(94)90377-8

We study two-dimensional gauge theories with fundamental fermions and a general first order gauge-field Lagrangian. For the case of U(1) we show how standard bosonization of the Schwinger model generalizes to give mesons interacting through a general Landau-Ginzburg potential. We then show how for a subclass of SU(N) theories, 't Hooft's solution of large N two-dimensional QCD can be generalized in a consistent and natural manner. We finally point out the possible relevance of studying these theories to the string formulation of two-dimensional QCD as well as to understanding QCD in higher dimensions.

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