The master field on the plane

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• Thierry Levy (UPMC)
• Tuesday 23 June 2015, 15:00-16:00
• Seminar Room 2 Isaac Newton Institute, Cambridge.

If you have a question about this talk, please contact John Shimmon.

I will discuss the large N limit of the pure Yang-Mills theory on the Euclidean plane with structure group U(N). One of the nice features of this limit is the emergence of the Makeenko-Migdal equations, which were originally derived by an integration by parts in an ill-defined functional integral, and which can be rigorously understood in terms of the combinatorics of large rotationally invariant random unitary matrices.

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