Convergence Rate and Locality of Improved Overlap Fermions

Details Convergence Rate and Locality of Improved Overlap Fermions Convergence Rate and Locality of Improved Overlap Fermions

2002-04-12

arxiv.org/abs/hep-lat/0204016v2

Nucl.Phys. B644 (2002) 223-247

Physics

High Energy Physics

High Energy Physics - Lattice

33 pages, 16 figures, a Section on approximate rotation symmetry is added

Scientific paper

10.1016/S0550-3213(02)00789-7

We construct new Ginsparg-Wilson fermions for QCD by inserting an approximately chiral Dirac operator - which involves ingredients of a perfect action - into the overlap formula. This accelerates the convergence of the overlap Dirac operator by a factor of 5 compared to the standard construction, which inserts the Wilson fermion as a point of departure. Taking into account the effort for treating the improved fermion, we are left with an total computational overhead of about a factor 3. This remaining factor is likely to be compensated by other virtues; here we show that the level of locality is clearly improved, so that the exponent of the correlation decay is doubled. We also show that approximate rotation invariance is drastically improved, but a careful scaling test has to be postponed.

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