Aoki Phases in Staggered-Wilson Fermions

Abstract

We investigate the parity-broken phase (Aoki phase) for staggered-Wilson fermions by using the Gross-Neveu model and the strong-coupling lattice QCD. In the both cases the gap equations indicate the parity-broken phase exists and the pion becomes massless on the phase boundaries. We also show we can take the chiral and continuum limit in the Gross-Neveu model by tuning mass and gauge-coupling parameters. This supports the idea that the staggered-Wilson fermions can be applied to the lattice QCD simulation by taking a chiral limit, as with Wilson fermions.

Comments: 7 pages, 4 figures, presented at 29th International Symposium on Lattice Field Theory, Lattice2011, July 10-16, 2011, Squaw Valley, California, USA