Large-N Universality of the Two-Dimensional Yang-Mills String

Abstract

We exhibit the gauge-group independence (``universality'') of all normalized non-intersecting Wilson loop expectation values in the large N limit of two-dimensional Yang-Mills theory. This universality is most easily understood via the string theory reformulation of these gauge theories. By constructing an isomorphism between the string maps contributing to normalized Wilson loop expectation values in the different theories, we prove the large N universality of these observables on any surface. The string calculation of the Wilson loop expectation value on the sphere also leads to an indication of the large N phase transition separating strong- and weak-coupling phases.

18 pages, phyzzx macro, no figures

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Cited by in corpus (5)

• Topological strings and large N phase transitions II: Chiral expansion of q-deformed Yang-Mills theory
• Topological strings and large N phase transitions I: Nonchiral expansion of q-deformed Yang-Mills theory
• Holomorphic maps and the complete 1/N expansion of 2D SU(N) Yang-Mills
• Field Strength Correlators For 2D Yang-Mills Over Riemann Surfaces
• The Master Field For 2D QCD On The Sphere