Overlap Fermions on a $20^4$ Lattice

Details Overlap Fermions on a $20^4$ Lattice Overlap Fermions on a $20^4$ Lattice

2000-11-17

arxiv.org/abs/hep-lat/0011072v1

Nucl.Phys.Proc.Suppl. 94 (2001) 752-755

Physics

High Energy Physics

High Energy Physics - Lattice

Lattice 2000 (Chiral Fermion), 4 pages, 4 figures

Scientific paper

10.1016/S0920-5632(01)00908-2

We report results on hadron masses, fitting of the quenched chiral log, and quark masses from Neuberger's overlap fermion on a quenched $20^4$ lattice with lattice spacing $a = 0.15$ fm. We used the improved gauge action which is shown to lower the density of small eigenvalues for $H^2$ as compared to the Wilson gauge action. This makes the calculation feasible on 64 nodes of CRAY-T3E. Also presented is the pion mass on a small volume ($6^3 \times 12$ with a Wilson gauge action at $\beta = 5.7$). We find that for configurations that the topological charge $Q \ne 0$, the pion mass tends to a constant and for configurations with trivial topology, it approaches zero possibly linearly with the quark mass.

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