Cébron, Guillaume, Dahlqvist, Antoine and Gabriel, Franck (2017) The generalized master fields. Journal of Geometry and Physics, 119 . pp. 34-53. doi:10.1016/j.geomphys.2017.04.012 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:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH):	Geometry, Plane, Holonomy groups
Journal or Publication Title:	Journal of Geometry and Physics
Publisher:	Elsevier Science BV
ISSN:	0393-0440
Official Date:	September 2017
Dates:	Date Event September 2017 Published 3 May 2017 Available 21 April 2017 Accepted
Volume:	119
Page Range:	pp. 34-53
DOI:	10.1016/j.geomphys.2017.04.012
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Date of first compliant deposit:	11 May 2017
Date of first compliant Open Access:	3 May 2018
Funder:	European Research Council (ERC), Engineering and Physical Sciences Research Council (EPSRC)
Grant number:	“Non-commutative distributions in free probability”, “Behaviour near criticality” (ERC), EP/I03372X/1 (EPSRC)

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