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Chirally improved Dirac operators: Studying the sensitivity to topological excitations for zero and finite temperature

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arxiv hep-lat/0110015 v1 pith:CRTA67CX submitted 2001-10-05 hep-lat

Chirally improved Dirac operators: Studying the sensitivity to topological excitations for zero and finite temperature

Christof Gattringer , Meinulf G\"ockeler , C.B. Lang , P.E.L. Rakow , Stefan Schaefer , Andreas Sch\"afer This is my paper
classification hep-lat
keywords diracchirallyimprovedoperatoroperatorsresultsapproximatebackgrounds
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We discuss the construction and properties of an approximate solution of the Ginsparg-Wilson equation, the so-called chirally improved lattice Dirac operator. In particular we study the behavior of its eigenmodes in smooth instanton backgrounds as well as for thermalized gauge configurations on both sides of the QCD phase transition. We compare with results from other Dirac operators including the overlap operator. The results support the picture of chiral symmetry breaking being closely related to instantons.

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