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arXiv · hep-lat/9611015

Non-perturbative determination of the axial current normalization constant in O(a) improved lattice QCD

Martin Lüscher·Stefan Sint·Rainer Sommer·Hartmut Wittig
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Abstract

A finite-size technique is employed to compute the normalization constant $Z_A$ of the isovector axial current in lattice QCD. The calculation is carried out in the quenched approximation for values of the bare gauge coupling $g_0$ ranging from 0 to 1. In the lattice action and the lattice expression for the axial current we include the counterterms required for O(a) improvement, with non-perturbatively determined coefficients. With little additional work the normalization constant $Z_V$ of the improved isospin current is also obtained.

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Martin Lüscher, Stefan Sint, Rainer Sommer, Hartmut Wittig. 1996-11-15. Non-perturbative determination of the axial current normalization constant in O(a) improved lattice QCD. https://doi.org/10.1016/s0550-3213(97)00087-4

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