A nonperturbative determination of c_A and the scaling of f_pi and m^{MSbar}

S. Collins; C. T. H. Davies; G. P. Lepage; J. Shigemitsu

paper

A nonperturbative determination of c_A and the scaling of f_pi and m^{MSbar}

arXiv:hep-lat/0109036

Abstract

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 $β = 5.93$ 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.

Lattice2001(improvement), 3 pages, 3 postscript figures, espcrc2.sty