The generalized master fields

DOI10.1016/j.geomphys.2017.04.012zbMath1368.81122arXiv1601.00214OpenAlexW2230181718MaRDI QIDQ2360614

Antoine Dahlqvist, Guillaume Cébron, Franck Gabriel

Publication date: 4 July 2017

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.00214

zbMATH Keywords

Lévy processesfree probabilitylarge \(N\) limitYang-Mills measureplanar master fieldstwo dimensional Yang-Mills measure

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Yang-Mills and other gauge theories in quantum field theory (81T13) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Markov processes: hypothesis testing (62M02)

Related Items (6)

Large \(N\) limit of Yang-Mills partition function and Wilson loops on compact surfaces ⋮ Yang-Mills measure and the master field on the sphere ⋮ Quantum holonomy fields ⋮ Free energies and fluctuations for the unitary Brownian motion ⋮ The large-\(N\) limit for two-dimensional Yang-Mills theory ⋮ A functional integral approaches to the Makeenko-Migdal equations

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• Conservation of Isotopic Spin and Isotopic Gauge Invariance
• Two-dimensional Markovian holonomy fields
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• Large \(N\) gauge theory---expansions and transitions

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