The Master Field For 2D QCD On The Sphere

Details The Master Field For 2D QCD On The Sphere The Master Field For 2D QCD On The Sphere

1995-10-20

arxiv.org/abs/hep-th/9510155v2

Phys.Lett. B377 (1996) 117-123

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, latex file, no macros, 1 reference added

Scientific paper

10.1016/0370-2693(96)00309-7

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 $F_{\mu\nu}$ 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 $A_{\mu}$ on the sphere, consistent with the master field for the field strength.

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