Lattice Gross-Neveu model with domain-wall fermions

Abstract

We investigate the two-dimensional lattice Gross-Neveu model, using the domain-wall fermion formulation, as a toy model of lattice QCD. We study features of the phase diagram related to the mechanism of chiral symmetry restoration, and find that the parity-broken phase (Aoki phase) exists for finite extent in the extra dimension ($N_s$). We also find that O(a) scaling violation terms vanishes in the limit of $N_s\to \infty$.

LATTICE99 (Chiral Fermions), 3 pages, 4 figures

References in corpus (1)

• Weak coupling expansion of massless QCD with a Ginsparg-Wilson fermion and axial U(1) anomaly