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Large $$N$$ phases of chiral $$\text{QCD}_2$$. (English) Zbl 0972.81165
Summary: A matrix model is constructed which describes a chiral version of the large $$N$$ $$U(N)$$ gauge theory on a two-dimensional sphere of area $$A$$. This theory has three separate phases. The large area phase describes the associated chiral string theory. An exact expression for the free energy in the large area phase is used to derive a remarkably simple formula for the number of topologically inequivalent covering maps of a sphere with fixed branch points and degree $$n$$.

##### MSC:
 81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics 81V05 Strong interaction, including quantum chromodynamics
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