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

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

2001-10-05

arxiv.org/abs/hep-lat/0110015v1

Nucl.Phys.Proc.Suppl.106:551-559,2002

Physics

High Energy Physics

High Energy Physics - Lattice

Lattice2001(confinement), 9 pages, 8 figures

Scientific paper

10.1016/S0920-5632(01)01776-5

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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