Phase transitions and reflection positivity. I. General theory and long range lattice models

Jürg Fröhlich, Robert Israel, Elliot H. Lieb, Barry Simon

Research output: Contribution to journalArticle

266 Scopus citations

Abstract

We systematize the study of reflection positivity in statistical mechanical models, and thereby two techniques in the theory of phase transitions: the method of infrared bounds and the chessboard method of estimating contour probabilities in Peierls arguments. We illustrate the ideas by applying them to models with long range interactions in one and two dimensions. Additional applications are discussed in a second paper.

Original languageEnglish (US)
Pages (from-to)1-34
Number of pages34
JournalCommunications In Mathematical Physics
Volume62
Issue number1
DOIs
StatePublished - Aug 1 1978

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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