Supersymmetric models for fermions on a lattice

Feb, 2005
17 pages
Published in:
  • Fortsch.Phys. 54 (2006) 124-138
e-Print:
Report number:
  • CERN-PH-TH-2005-025,
  • ESI-1607,
  • CERN-PH-TH/2005-025

Citations per year

2004200720102013201610
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.
Note:
  • We dedicate this article to Julius Wess on the occasion of his 70th birthday
  • 17 pages, LATeX, no figures
  • 74.20
  • 12.60.Pb
  • 74.50.+r
  • fermion: lattice field theory
  • supersymmetry
  • expansion 1/N
  • quantum mechanics
  • model: superconductivity