English

Lattice chiral symmetry with hopping interactions

High Energy Physics - Lattice 2009-11-10 v3

Abstract

We formulate Dirac fermions on a (1+1)-dimensional lattice based on a Hamiltonian formalism. The species doubling problem of the lattice fermion is resolved by introducing hopping interactions that mix left- and right-handed fermions around the momentum boundary. Approximate chiral symmetry is realized on the lattice. The deviation of the fermion propagator from the continuum one is small.

Keywords

Cite

@article{arxiv.hep-lat/0304015,
  title  = {Lattice chiral symmetry with hopping interactions},
  author = {Takanori Sugihara},
  journal= {arXiv preprint arXiv:hep-lat/0304015},
  year   = {2009}
}

Comments

4 pages, 4 figures, revtex, published version