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

Antoine Dahlqvist; Thibaut Lemoine

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arXiv · 2201.05886

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

Antoine Dahlqvist·Thibaut Lemoine

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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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BibTeX RIS

Antoine Dahlqvist, Thibaut Lemoine. 2022-01-15. Large N limit of the Yang-Mills measure on compact surfaces II: Makeenko-Migdal equations and planar master field. https://arxiv.org/abs/2201.05886

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