Annales Henri Poincaré

, Volume 16, Issue 1, pp 189–203 | Cite as

Reflection Positivity for Majoranas

  • Arthur JaffeEmail author
  • Fabio L. Pedrocchi


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.


Minus Sign Quantum Spin System Reflection Positivity Heisenberg Interaction Continuous Symmetry Group 
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Copyright information

© Springer Basel 2014

Authors and Affiliations

  1. 1.Harvard UniversityCambridgeUSA
  2. 2.Department of PhysicsUniversity of BaselBaselSwitzerland
  3. 3.Institute for Theoretical PhysicsETH ZürichZürichSwitzerland

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