Reflection Positivity for Parafermions
Arthur Jaffe, Fabio L. Pedrocchi
TL;DR
This paper proves reflection positivity for certain parafermion lattice models, linking mathematical physics with condensed matter research and providing a foundation for analyzing their quantum properties.
Contribution
It establishes reflection positivity for gauge-invariant, reflection-invariant parafermion Hamiltonians, a novel result connecting mathematical physics and condensed matter.
Findings
Reflection positivity holds for a class of parafermion Hamiltonians.
Results relate to recent condensed matter studies on parafermions.
Provides a mathematical foundation for analyzing parafermion systems.
Abstract
We establish reflection positivity for Gibbs trace states for a class of gauge-invariant, reflection-invariant Hamiltonians describing parafermion interactions on a lattice. We relate these results to recent work in the condensed-matter physics literature.
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