Supersymmetric models for fermions on a lattice

✍ Scribed by N. Ilieva; H. Narnhofer; W. Thirring

• Publisher: John Wiley and Sons
• Year: 2006
• Tongue: English
• Weight: 174 KB
• Volume: 54
• Category: Article
• ISSN: 0015-8208
• DOI: 10.1002/prop.200510261

✦ Synopsis

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.