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

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

1999-06-17

arxiv.org/abs/hep-lat/9906017v1

Phys.Rev. D61 (2000) 094501

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1103/PhysRevD.61.094501

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.

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