Yang–Mills measure and the master field on the sphere∗
نویسندگان
چکیده
Here is a first version of a study of the Yang–Mills measure on the sphere with structure group of large dimension. We focus in this article on unitary structure groups. We show that the Wilson loops converge in probability towards a deterministic field, called master field. As a corollary, we obtain that the Brownian loop in unitary matrices converges in non-commutative distribution as the dimension goes to infinity. This is a first instance of a unitary free Brownian loop.
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تاریخ انتشار 2017