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arXiv · hep-th/9510155

The Master Field For 2D QCD On The Sphere

J. P. Nunes·H. J. Schnitzer
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Abstract

We continue our analysis of the field strength correlation functions of two-dimensional 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 $F_{μν}$ 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 $A_μ$ on the sphere, consistent with the master field for the field strength.

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J. P. Nunes, H. J. Schnitzer. 1995-11-07. The Master Field For 2D QCD On The Sphere. https://doi.org/10.1016/0370-2693(96)00309-7

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