Lattice chiral symmetry with hopping interactions

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.

4 pages, 4 figures, revtex, published version

References in corpus (4)

• Exactly massless quarks on the lattice
• Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
• More about exactly massless quarks on the lattice
• Domain wall quarks and kaon weak matrix elements

Cited by in corpus (3)

• Density matrix renormalization group in a two-dimensional $\lambda {\varphi }^4$ Hamiltonian lattice model
• Density matrix renormalization group approach to a two-dimensional bosonic model
• Chiral symmetry on a lattice with hopping interactions