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.
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Communicated by S. Zelditch
Franck Gabriel: Supported by ERC Grant, “ Behaviour near criticality,” held by M. Hairer.
Brian C. Hall: Supported in part by NSF Grant DMS-1301534.
Todd Kemp Supported in part by NSF CAREER Award DMS-1254807.
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Driver, B.K., Gabriel, F., Hall, B.C. et al. The Makeenko–Migdal Equation for Yang–Mills Theory on Compact Surfaces. Commun. Math. Phys. 352, 967–978 (2017). https://doi.org/10.1007/s00220-017-2857-2
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DOI: https://doi.org/10.1007/s00220-017-2857-2