Low-lying fermion modes, topology and light hadrons in quenched QCD

Details Low-lying fermion modes, topology and light hadrons in quenched QCD Low-lying fermion modes, topology and light hadrons in quenched QCD

2000-12-19

arxiv.org/abs/hep-lat/0012021v1

Phys.Rev. D64 (2001) 034512

Physics

High Energy Physics

High Energy Physics - Lattice

21 pages, Revtex, 21 postscript figures. COLO-HEP-452

Scientific paper

10.1103/PhysRevD.64.034512

We explore the properties of low lying eigenmodes of fermions in the quenched approximation of lattice QCD. The fermion action is a recently proposed overlap action and has exact chiral symmetry. We find that chiral zero-eigenvalue modes are localized in space and their positions correlate strongly with the locations (as defined through the density of pure gauge observables) of instantons of the appropriate charge. Nonchiral modes are also localized with peaks which are strongly correlated with the positions of both charges of instantons. These correlations slowly die away as the fermion eigenvalue rises. Correlators made of quark propagators restricted to these modes closely reproduce ordinary hadron correlators at small quark mass in many channels. Our results are in qualitative agreement with the expectations of instanton liquid models.

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