Supersymmetric Models for Fermions on a Lattice
Quantum Physics
2014-11-18 v1
Abstract
We investigate the large-N behaviour of simple examples of supersymmetric interactions for fermions on a lattice. Witten's supersymmetric quantum mechanics and the BCS model appear just as two different aspects of one and the same model. For the BCS model, supersymmetry is only respected in a coherent superposition of Bogoliubov states. In this coherent superposition mesoscopic observables show better stability properties than in a Bogoliubov state.
Cite
@article{arxiv.quant-ph/0502100,
title = {Supersymmetric Models for Fermions on a Lattice},
author = {Nevena Ilieva and Heide Narnhofer and Walter Thirring},
journal= {arXiv preprint arXiv:quant-ph/0502100},
year = {2014}
}
Comments
17 pages, LATeX, no figures