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The generalized master fields

journal contribution
posted on 2023-06-09, 17:13 authored by Guillaume Cébron, Antoine DahlqvistAntoine Dahlqvist, Franck Gabriel
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.

History

Publication status

  • Published

Journal

Journal of Geometry and Physics

ISSN

0393-0440

Publisher

Elsevier

Volume

119

Page range

34 - 53

Department affiliated with

  • Mathematics Publications

Research groups affiliated with

  • Probability and Statistics Research Group Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2019-03-25

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