Non-perturbative O(a) improvement of lattice QCD

Details Non-perturbative O(a) improvement of lattice QCD Non-perturbative O(a) improvement of lattice QCD

1996-09-19

arxiv.org/abs/hep-lat/9609035v2

Nucl.Phys. B491 (1997) 323-343

Physics

High Energy Physics

High Energy Physics - Lattice

typo in eq. (7.3) corrected; 26 pages, postscript file

Scientific paper

10.1016/S0550-3213(97)00080-1

The coefficients multiplying the counterterms required for O($a$) improvement of the action and the isovector axial current in lattice QCD are computed non-perturbatively, in the quenched approximation and for bare gauge couplings $g_0$ in the range $0 \leq g_0 \leq 1$. A finite-size method based on the Schr\"odinger functional is employed, which enables us to perform all calculations at zero or nearly zero quark mass. As a by-product the critical hopping parameter $\kappa_c$ is obtained at all couplings considered.

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