Phase Transitions

  • James Glimm
  • Arthur Jaffe


To define the basic concepts, we consider a quantum field determined by a function space measure defined on ’. Assuming the axioms OS0-3 of Chapter 6.1, can be decomposed into irreducible components , called pure phases, each of which satisfies the axioms OS0-4. The pure phases are characterized by the property OS4 of a unique vacuum, and is itself a pure phase if and only if its vacuum state is unique.


Ising Model Order Phase Transition Positive Definite Function Unique Ground State Unique Vacuum 
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Copyright information

© Springer-Verlag New York Inc. 1987

Authors and Affiliations

  • James Glimm
    • 1
  • Arthur Jaffe
    • 2
  1. 1.Courant Institute for Mathematical SciencesNew York UniversityNew YorkUSA
  2. 2.Harvard UniversityCambridgeUSA

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