@article{cae695baba4749fb9d2d84b0e2729bbf,
title = "A new derivation of the finite N master loop equation for lattice Yang-Mills",
abstract = "We give a new derivation of the finite N master loop equation for lattice Yang-Mills theory with structure group SO(N), U(N) or SU(N). The SO(N) case was initially proved by Chatterjee in [6], and SU(N) was analyzed in a follow-up work by Jafarov [23]. Our approach is based on the Langevin dynamic, an SDE on the manifold of configurations, and yields a simple proof via It{\^o}{\textquoteright}s formula.",
keywords = "It{\^o} formula, Langevin dynamics, lattice Yang-Mills, loop equations",
author = "Hao Shen and Smith, {Scott A.} and Rongchan Zhu",
note = "Publisher Copyright: {\textcopyright} 2024, Institute of Mathematical Statistics. All rights reserved.",
year = "2024",
doi = "10.1214/24-EJP1090",
language = "English",
volume = "29",
journal = "Electronic Journal of Probability",
issn = "1083-6489",
publisher = "Institute of Mathematical Statistics",
}