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Reflection Positivity for Majoranas

Jaffe, Arthur ; Pedrocchi, Fabio

In: Annales Henri Poincaré, 2015, vol. 16, no. 1, p. 189-203

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    Titel
    • Reflection Positivity for Majoranas
    Autor
    • Jaffe, Arthur. Harvard University, 02138, Cambridge, Massachusetts, USA
    • Pedrocchi, Fabio. Department of Physics, University of Basel, Basel, Switzerland
    Dokumententyp
    • Postprint
    Sprache
    • Englisch
    Veröffentlicht in
    • Annales Henri Poincaré, 2015, vol. 16, no. 1, p. 189-203. Springer Basel
    Andere elektronische Ausgabe
    Klassifikation
    • Mathematik
    OAI-PMH-ID
    • oai:doc.rero.ch:333083
    Summary
    We establish reflection positivity for Gibbs trace states defined by certain Hamiltonians that describe the interaction of Majoranas on a lattice. These Hamiltonians may include many-body interactions, as long as the signs of the associated coupling constants satisfy certain restrictions. We show that reflection positivity holds on an even sub-algebra of Majoranas.