BooksStandalone TitlesCollected Volumepp. 77–108

Reflection positivity and infrared bounds for quantum spin systems

  • Jakob E. Björnberg

    Chalmers University of Technology and the University of Gothenburg, Sweden
  • Daniel Ueltschi

    University of Warwick, Coventry, United Kingdom
Reflection positivity and infrared bounds for quantum spin systems cover
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Abstract

The method of reflection positivity and infrared bounds allows us to prove the occurrence of phase transitions in systems with continuous symmetries. We review the method in the context of quantum spin systems. The novel aspect is a proof for long-range interactions that involve the Euclidean distance between sites.