Cébron, Guillaume, Dahlqvist, Antoine and Gabriel, Franck (2017) The generalized master fields. Journal of Geometry and Physics, 119. 34 - 53. ISSN 0393-0440
Full text not available from this repository.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 |
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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: | 25 Mar 2019 15:51 |
URI: | http://srodev.sussex.ac.uk/id/eprint/82485 |