On a factor associated with the unordered phase of λ-model on a Cayley tree

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32 Citations (Scopus)

Abstract

In this paper we consider nearest-neighbours models, where the spin takes values in the set Φ = {η1, η 2, ..., ηq} and is assigned to the vertices of the Cayley tree Γk. The Hamiltonian is defined by some given λ-function. We find a condition for the function λ to determine a type of von Neumann algebra generated by the GNS construction associated with the unordered phase of the λ-model. We give also some physical applications of the obtained result.

Original languageEnglish
Pages (from-to)1-18
Number of pages18
JournalReports on Mathematical Physics
Volume53
Issue number1
DOIs
Publication statusPublished - Feb 2004
Externally publishedYes

Keywords

  • Cayley tree
  • GNS construction
  • Gibbs measure
  • Unordered phase
  • von Neumann algebra
  • λ-model

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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