Brillouin improvement for Wilson fermions

Details Brillouin improvement for Wilson fermions Brillouin improvement for Wilson fermions

2010-12-15

arxiv.org/abs/1012.3615v1

Phys.Rev.D83:114512,2011

Physics

High Energy Physics

High Energy Physics - Lattice

42 pages, 22 figures

Scientific paper

10.1103/PhysRevD.83.114512

We present a parameter-free Wilson-type lattice Dirac operator with an 81-point stencil for the covariant derivative and the Laplacian which attempts to minimize the breaking of rotational symmetry near the boundary of the Brillouin zone. The usefulness of this "Brillouin operator" in practical applications is explored by studying the scaling of pseudoscalar decay constants in quenched QCD, with rather good results in the physical charm region. We also investigate the suitability of this operator as a kernel to the overlap procedure. Here, the resulting overlap operator is found to be cheaper to construct and significantly better localized than the variety with the standard Wilson kernel.

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