Lattice Fermions without Doublers

Kevin Cahill

Lattice Fermions without Doublers

High Energy Physics - Lattice 2007-05-23 v1

Authors: Kevin Cahill

Abstract

By placing fermions only on the even sites of a lattice, one may halve the momentum spectrum and construct a theory without doublers. The interaction is nonlocal. The fermion propagator is not a sparse matrix, but because the unwanted fermionic states are absent from the formalism, it is 256 times smaller than the usual propagator.

Keywords

fermion field theory and gross-neveu model

Cite

@article{arxiv.hep-lat/9508013,
  title  = {Lattice Fermions without Doublers},
  author = {Kevin Cahill},
  journal= {arXiv preprint arXiv:hep-lat/9508013},
  year   = {2007}
}