English

Surface modes and chiral symmetry (Wilson Fermions in a box)

High Energy Physics - Lattice 2009-10-22 v1

Abstract

We give a Hamiltonian discussion of surface states in an extra dimension as a basis for chiral fermions in lattice models. Such modes appear with the Wilson fermion action when the hopping parameter exceeds a critical value. The association of such states with the closing and reopening of a band gap was noted by Shockley in 1939. Poster presented by Michael Creutz at Lattice 93. Uuencoded compressed postscript file.

Keywords

Cite

@article{arxiv.hep-lat/9312068,
  title  = {Surface modes and chiral symmetry (Wilson Fermions in a box)},
  author = {Michael Creutz and Ivan Horvath},
  journal= {arXiv preprint arXiv:hep-lat/9312068},
  year   = {2009}
}

Comments

4 pages, BNL-49782