Reflection Positivity for Majoranas
Arthur Jaffe, Fabio L. Pedrocchi
TL;DR
This paper proves reflection positivity for a class of Majorana lattice Hamiltonians, including many-body interactions, under specific sign restrictions, which is important for understanding their physical properties.
Contribution
It establishes reflection positivity for Majorana systems with complex interactions, extending previous results to a broader class of Hamiltonians.
Findings
Reflection positivity holds for certain Majorana lattice Hamiltonians.
Applicable to Hamiltonians with many-body interactions under sign restrictions.
Reflection positivity is shown on an even subalgebra of Majoranas.
Abstract
We establish reflection positivity for Gibbs trace states defined by a certain class of 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 subalgebra of Majoranas.
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