Aoki Phases in the Lattice Gross-Neveu Model with Flavored Mass terms

Understand

We investigate the parity-broken phase structure for staggered and naive fermions in the Gross-Neveu model as a toy model of QCD.

• We consider a generalized staggered Gross-Neveu model including two types of four-point interactions.
• We use generalized mass terms to split the doublers for both staggered and naive fermions.
• The phase boundaries derived from the gap equations show that the mass splitting of tastes results in an Aoki phase both in the staggered and naive cases.