Two dimensional lattice Gross--Neveu model with domain-wall fermions

Abstract

We investigate the two dimensional lattice Gross--Neveu model in large flavor number limit using the domain-wall fermion formulation, as a toy model of lattice QCD. We study nonperturbative behaviorn of the restoration of chiral symmetry of the domain-wall fermions as the extent of the extra dimension $(N_s)$ is increased to infinity. We find the the parity broken phase (Aoki phase) for finite $N_s$, and study the phase diagram, which is related to the mechanism of the chiral restoration in $N_s\to \infty$ limit. The continuum limit is taken and $O(a)$ scaling violation of observables vanishes in $N_s\to \infty$ limit. We also examine the systematic dependencies of observables to the parameters.

36 pages (26 figures), Latex (epsf style-file needed)

References in corpus (2)

• Fermion-scalar interactions with domain wall fermions
• Pion mass and the PCAC relation in the overlap fermion formalism: Gauged Gross-Neveu model on a lattice

Cited by in corpus (9)

• Full Phase Diagram of the Massive Gross-Neveu Model
• Aoki Phases in the Lattice Gross-Neveu Model with Flavored Mass terms
• Dimensional Reduction of Fermions in Brane Worlds of the Gross-Neveu Model
• Phase structure for lattice fermions with flavored chemical potential terms
• Domain wall fermions and applications
• Domain Wall Fermions in Quenched Lattice QCD
• Kondo effect with Wilson fermions
• Gross-Neveu model with overlap fermions
• Non-${\gamma }_5$hermiticity fermions in two dimensions