Large N limit of the Yang-Mills measure on compact surfaces II: Makeenko-Migdal equations and planar master field

2022/01/15 by Dahlqvist, Antoine, Lemoine, Thibaut
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)

paper · doi:10.48550/arxiv.2201.05886

Abstract

This paper considers the large N limit of Wilson loops for the two-dimensional Euclidean Yang-Mills measure on all orientable compact surfaces of genus larger or equal to one, with a structure group given by a classical compact matrix Lie group. We show their convergence for all loops on the torus and give a conjecture supported by partial results for other surfaces.

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