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The Master Field For 2 D QCD On The Sphere

We continue our analysis of the field strength correlation functions of twodimensional QCD on Riemann surfaces by studying the large N limit of these correlation functions on the sphere for gauge group U(N). Our results allow us to exhibit an explicit master field for the field strength Fμν in a “topological gauge”, given by a single master matrix in the Lie algebra of the maximal torus of the gauge group. Field correlators are obtained from traces of products of the master field. We also obtain a master field for the gauge potential Aμ on the sphere, consistent with the master field for the field strength.