The generalized master fields

Cébron, Guillaume, Dahlqvist, Antoine and Gabriel, Franck (2017) The generalized master fields. Journal of Geometry and Physics, 119. 34 - 53. ISSN 0393-0440

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Abstract

The master field is the large N limit of the Yang–Mills measure on the Euclidean plane. It can be viewed as a non-commutative process indexed by loops on the plane. We construct and study generalized master fields, called free planar Markovian holonomy fields which are versions of the master field where the law of a simple loop can be as more general as it is possible. We prove that those free planar Markovian holonomy fields can be seen as well as the large N limit of some Markovian holonomy fields on the plane with unitary structure group.

Item Type: Article
Keywords: Two dimensional Yang–Mills measure, Lévy processes, Large limit, Free probability, Planar master fields
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Research Centres and Groups: Probability and Statistics Research Group
Subjects: Q Science > QA Mathematics > QA0273 Probabilities. Mathematical statistics
Depositing User: Antoine Dahlqvist
Date Deposited: 25 Mar 2019 15:48
Last Modified: 19 Jun 2019 14:49
URI: http://sro.sussex.ac.uk/id/eprint/82485
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