Properties of near-zero modes and chiral symmetry breaking

Details Properties of near-zero modes and chiral symmetry breaking Properties of near-zero modes and chiral symmetry breaking

2001-07-19

arxiv.org/abs/hep-lat/0107016v2

Nucl.Phys.B617:101-116,2001

Physics

High Energy Physics

High Energy Physics - Lattice

Minor changes in the discussion, references added. To appear in Nuclear Physics B

Scientific paper

10.1016/S0550-3213(01)00478-3

We study localization and chirality properties of eigenvectors of the lattice Dirac operator. In particular we focus on the dependence of our observables on the size of the corresponding eigenvalue, which allows us to study the transition of a near-zero mode into a bulk mode. We analyze ensembles of quenched SU(3) configurations using a Dirac operator which is a systematic expansion in path length of a solution of the Ginsparg-Wilson equation. Our results support the interpretation of the excitations relevant for chiral symmetry breaking as interacting instantons and anti-instantons.

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