Lattice Gross-Neveu model with domain-wall fermions

Taku Izubuchi; Kei-ichi Nagai

doi:10.1016/S0920-5632(00)91762-6

Lattice Gross-Neveu model with domain-wall fermions

High Energy Physics - Lattice 2015-06-25 v1

Authors: Taku Izubuchi , Kei-ichi Nagai

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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 $N_s\to\infty$ .

Keywords

lattice Gross-Neveu model domain-wall fermions chiral symmetry restoration Aoki phase phase diagram lattice QCD

Cite

@article{arxiv.hep-lat/9909153,
  title  = {Lattice Gross-Neveu model with domain-wall fermions},
  author = {Taku Izubuchi and Kei-ichi Nagai},
  journal= {arXiv preprint arXiv:hep-lat/9909153},
  year   = {2015}
}

Comments

LATTICE99 (Chiral Fermions), 3 pages, 4 figures

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