Wilson loop for large N Yang-Mills theory on a two-dimensional sphere

Details Wilson loop for large N Yang-Mills theory on a two-dimensional sphere Wilson loop for large N Yang-Mills theory on a two-dimensional sphere

1993-10-26

arxiv.org/abs/hep-th/9310165v1

Phys.Lett. B335 (1994) 371-376

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, LPTENS 93/37 and RU-93-50

Scientific paper

10.1016/0370-2693(94)90366-2

We calculate various Wilson loop averages in a pure $SU(N)$-gauge theory on a two-dimensional sphere, in the large $N$ limit. The results can be expressed through the density of rows in the most probable Young tableau. They are valid in both phases (small and large areas of the sphere). All averages for self-intersecting loops can be reproduced from the average for a simple (non self-intersecting) loop by means of loop equations.

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