Gauged Gross--Neveu model with overlap fermions

Details Gauged Gross--Neveu model with overlap fermions Gauged Gross--Neveu model with overlap fermions

1999-12-07

arxiv.org/abs/hep-lat/9912011v2

Chin.J.Phys.38:671-676,2000

Physics

High Energy Physics

High Energy Physics - Lattice

Latex 9 pages, sty file included, talk by K.Nagao at Chiral'99, Taipei, Taiwan, Sep.13-18, 1999. (To be pubished in the Procee

Scientific paper

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 L\"uscher. We also show the PCAC relation is satisfied in desired form. Comparison between the overlap and Wilson lattice fermions is also made.

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