O(a^2) improvement of the overlap-Dirac operator

Details O(a^2) improvement of the overlap-Dirac operator O(a^2) improvement of the overlap-Dirac operator

2009-12-21

arxiv.org/abs/0912.4119v1

PoS LAT2009:082,2009

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages. presented at The XXVII International Symposium on Lattice Field Theory, July 26-31 2009, Peking University, Beijing,

Scientific paper

We construct an $O(a^2)$-improved overlap-Dirac operator by designing an improved overlap kernel, based on the Symanzik improvement program. Field rotation terms are also identified to improve off-shell amplitudes for both massless and massive fermions. We check the free dispersion relation and propagator, and show that improved results become to close to the continuum ones at low momentum region. We test the effect of improvement on the full-QCD gauge configuration and find that the relativistic dispersion relation is satisfied within a few percent error up to $m_qa \approx 0.5$.

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