The Makeenko-Migdal equation for Yang-Mills theory on compact surfaces

Abstract

We prove the Makeenko-Migdal equation for two-dimensional Euclidean Yang-Mills theory on an arbitrary compact surface, possibly with boundary. In particular, we show that two of the proofs given by the first, third, and fourth authors for the plane case extend essentially without change to compact surfaces.

Final version, minor typographical corrections. To appear in Comm. Math. Phys

References in corpus (1)

• Three proofs of the Makeenko-Migdal equation for Yang-Mills theory on the plane

Cited by in corpus (8)

• Random Unitary Representations of Surface Groups I: Asymptotic expansions
• The large-N limit for two-dimensional Yang-Mills theory
• Large N limit of Yang-Mills partition function and Wilson loops on compact surfaces
• A stochastic PDE approach to large N problems in quantum field theory: a survey
• Large $N$ behaviour of the two-dimensional Yang-Mills partition function
• Wilson loop expectations as sums over surfaces on the plane
• 2D discrete Yang-Mills equations on the torus
• The loop equations for noncommutative geometries on quivers