CHINESE JOURNAL OF PHYSICS VOL 38, No.3-II JUNE 2000
Ikuo Ichinose and Keiichi Nagao
Institute of Physics, University of Tokyo, Komaba, Tokyo, 153-8902 Japan
(Received Dec. 7, 1999)
We investigate chiral properties of the overlap lattice fermion by using solvable 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 formula. We find that the quasi-NG boson mass has desired properties as a result of the extended chiral symmetry found by Lüscher. We also show the PCAC relation is satisfied in desired form. Comparison between the overlap and Wilson lattice fermions is also made.PACS. 11.15.Ha - Lattice gauge theory.
PACS. 11.30Rd - Chiral symmetries.