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arxiv: hep-lat/0506027 · v1 · submitted 2005-06-28 · ✦ hep-lat

Filtered overlap: speedup, locality, kernel non-normality and Z_A~1

classification ✦ hep-lat
keywords kernelfilteredoverlapfilteringinvestigatenon-normalityoperatorachieved
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We investigate the overlap operator with a UV filtered Wilson kernel. The filtering leads to a better localization of the operator even on coarse lattices and with the untuned choice $\rho=1$. Furthermore, the axial-vector renormalization constant $Z_A$ is much closer to 1, reducing the mismatch with perturbation theory. We show that all these features persist over a wide range of couplings and that the details of filtering prove immaterial. We investigate the properties of the kernel spectrum and find that the kernel non-normality is reduced. As a side effect we observe that for certain applications of the filtered overlap a speed-up factor of 2-4 can be achieved.

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