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

Mathematical Physics 2017-05-23 v3 High Energy Physics - Theory math.MP

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.

Keywords

Cite

@article{arxiv.1602.03905,
  title  = {The Makeenko-Migdal equation for Yang-Mills theory on compact surfaces},
  author = {Bruce K. Driver and Franck Gabriel and Brian C. Hall and Todd Kemp},
  journal= {arXiv preprint arXiv:1602.03905},
  year   = {2017}
}

Comments

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

R2 v1 2026-06-22T12:48:42.557Z