Gauged Gross-Neveu model with overlap fermions

We investigate chiral properties of the overlap lattice fermion by using so lvable model in two dimensions, the gauged Gross-Neveu model. In this model , the chiral symmetry is spontaneously broken in the presence of small but finite fermion mass. We calculate the quasi-Nambu-Goldstone(NG) boson mass as a function of the bare fermion mass and two parameters in the overlap fo rmula. We find that the quasi-NC boson mass has desired properties as a res ult of the extended chiral symmetry found by Luscher. We also show the PCAC relation is satisfied in desired form. Comparison between the overlap and Wilson lattice fermions is also made.