1.3k citations · 1.7k across the 21 of their papers we have counts for
Showing math-phShow all
3 papers · 1 filter
math-ph2016★ 17 cited
The Makeenko-Migdal equation for Yang-Mills theory on compact surfaces
Bruce K. Driver, Franck Gabriel, Brian C. Hall +1
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 th…
math-ph2016★ 13 cited
The generalized master fields
Guillaume Cébron, Antoine Dahlqvist, Franck Gabriel
The master field is the large limit of the Yang-Mills measure on the Euclidean plane. It can be viewed as a non-commutative process indexed by paths on the plane. We construct…
math-ph2015★ 3 cited
Planar Markovian Holonomy Fields
Franck Gabriel
We study planar random holonomy fields which are processes indexed by paths on the plane which behave well under the concatenation and orientation-reversing operations on paths. We…