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arXiv 1012.3615hep-lat
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Wilson费米子的布里渊改进

Brillouin improvement for Wilson fermions

Stephan Durr, Giannis Koutsou

摘要:

我们提出了一个无参数的威尔逊型晶格狄拉克算子与81点模板的协变导数和拉普拉斯算子,试图尽量减少破坏附近的布里渊区边界的旋转对称性。通过对猝灭QCD中赝标衰变常数标度的研究,探讨了这种“布里渊算符”在实际应用中的作用,在物理粲区得到了较好的结果。我们还调查了该操作符作为重叠过程的内核的适用性。在这里,由此产生的重叠算子被发现是更便宜的建设和显着更好地本地化比各种标准的威尔逊内核。

英文摘要:

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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