Two-Dimensional Quantum Yang–Mills Theory and the Makeenko–Migdal Equations

DOI10.1007/978-3-030-56409-4_7zbMath1483.81105arXiv1912.06246OpenAlexW2995329561MaRDI QIDQ3384289

Thierry Lévy

Publication date: 15 December 2021

Published in: Frontiers in Analysis and Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.06246

zbMATH Keywords

holonomycompact surfaceconnectionSchwinger-Dyson equationsWilson loopunitary Brownian motionYang-Mills measuremaster fieldDouglas-Kazakov phase transitionMakeenko-Migdal equations

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of differential geometry to physics (53Z05) Connections (general theory) (53C05)

Related Items (5)

Stochastic quantization of Yang–Mills ⋮ Large \(N\) limit of Yang-Mills partition function and Wilson loops on compact surfaces ⋮ Quantum holonomy fields ⋮ What is a random surface? ⋮ Determinantal probability measures on Grassmannians

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