FLAVOR-PARITY BREAKING IN THE NJL MODEL WITH WILSON FERMIONS

The Nambu-Jona-Lasinio model is chirally symmetric. Addition of a Wils on term explicitly breaks this symmetry and leaves the model with a re maining parity-flavor symmetry. In the approximation of a large number of colors it has been shown that there is a phase where the remaining parity-flavor symmetry is spontaneously broken and that on the phase boundary all pions become massless. Using numerical simulations are co nfirm the existence of this phase for the case of two flavors and two colors. We also confirm the large N prediction of the existence of lar ge finite size effects that alter the shape of the phase boundary dram atically when periodic boundary conditions are used.