Local and global Markoff fields
type: Item
instance of: scholarly article
title: Local and global Markoff fields
zbMATH Open document ID: 0575.60079
DOI: 10.1016/0034-4877(84)90017-X
published in: Reports on Mathematical Physics
publication date: 1984-01-01T00:00:00Z
review text: This is a review of the Markov property of stochastic fields related to quantum field theory and statistical mechanics. First, the authors review Nelson's approach to the construction of Euclidean field. Then they discuss the relation of the global Markov property and the uniqueness of Gibbs state, and give the idea how to show the global Markov property for the Euclidean field with trigonometric interaction and for the extreme Gibbs state of Ising model. This review and its reference is useful for people interested in these topics.
Mathematics Subject Classification ID: 60J60
Mathematics Subject Classification ID: 81T08
Mathematics Subject Classification ID: 60G60
Mathematics Subject Classification ID: 20C32
zbMATH DE Number: 3919500
zbMATH Keywords: Markov property of stochastic fields
zbMATH Keywords: quantum field theory
zbMATH Keywords: statistical mechanics
zbMATH Keywords: Euclidean field
zbMATH Keywords: Gibbs state
zbMATH Keywords: Ising model
author: S. Albeverio
author: Raphael Høegh-Krohn
reviewed by: Shigeo Kusuoka
MaRDI profile type: Publication
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full work available at URL: 0034-4877(84)90017-x
OpenAlex ID: W2074943929
description: scientific article; zbMATH DE number 3919500