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arxiv: hep-lat/0109036 · v1 · submitted 2001-09-28 · ✦ hep-lat

A nonperturbative determination of c_A and the scaling of f_pi and m^(MSbar)

classification ✦ hep-lat
keywords coefficientnonperturbativeobtainedscalingadditionalphaaxial-vectorbeta
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We calculate the $O(a)$ improvement coefficient for the axial-vector current using the nonperturbative method proposed by the LANL group. Results for the coefficient in the range $\beta=5.93$ to 6.2 are presented. We find $c_A$ is close to the 1-loop tadpole-improved perturbative value. In addition, scaling of the pseudoscalar decay constant and renormalised quark mass is improved compared to that obtained using the (larger) $c_A$ values obtained by the ALPHA collaboration.

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