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

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.

4 pages, BNL-49782

References in corpus (8)

• A Method for Simulating Chiral Fermions on the Lattice
• Chiral Fermions from Lattice Boundaries
• Infinitely many regulator fields for chiral fermions
• Chern-Simons Currents and Chiral Fermions on the Lattice
• Chiral Fermions and Anomalies on a Finite Lattice
• Critical Momenta of Lattice Chiral Fermions
• Chiral Gauge Theories and Fermion-Higgs Systems
• Anomalous Fermion Number Non-Conservation on the Lattice

Cited by in corpus (3)

• Calculations of the Exciton Coupling Elements Between the DNA Bases Using the Transition Density Cube Method
• Domain wall fermions in a waveguide: the phase diagram at large Yukawa coupling
• Confinement and Fermion Doubling Problem in Dirac-like Hamiltonians