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

Bruce K. Driver (1) , Franck Gabriel (2) , Brian C. Hall (3) , Todd Kemp (1)

1 UC San Diego - University of California [San Diego]
2 Department of Mathematics, University of Warwick
3 UND - University of Notre Dame [Indiana]

We prove the Makeenko–Migdal equation for two-dimensional Eu-clidean 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.

Domaines: Physique mathématique [math-ph]

Bruce K. Driver, Franck Gabriel, Brian C. Hall, Todd Kemp. The Makeenko–Migdal equation for Yang–Mills theory on compact surfaces. Communications in Mathematical Physics, 2017, 352 (3), pp.967 - 978. ⟨10.1007/s00220-017-2857-2⟩. ⟨hal-01824531⟩