Aoki Phases in Staggered-Wilson Fermions

TL;DR

This paper explores the existence of the Aoki phase in staggered-Wilson fermions using models like Gross-Neveu and lattice QCD, demonstrating the potential for chiral limit applications in lattice simulations.

Contribution

It provides evidence for the parity-broken phase in staggered-Wilson fermions and shows how to approach the chiral and continuum limits.

Findings

Parity-broken phase exists in models studied.

Pion becomes massless at phase boundaries.

Chiral and continuum limits are achievable.

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.