Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2003-02-25
Nucl.Phys.B669:173-206,2003
Physics
High Energy Physics
High Energy Physics - Lattice
34 pages, 12 postscript figures, 9 tables, latex2e; version published in Nucl. Phys. B, only 1 reference added
Scientific paper
10.1016/S0550-3213(03)00552-2
We non-perturbatively calculate the scale dependence of the static axial current in the Schroedinger functional scheme by means of a recursive finite-size scaling technique, taking the continuum limit in each step. The bare current in the O(a) improved theory as well as in the original Wilson regularization is thus connected to the renormalization group invariant one. The latter may then be related to the current at the B-scale defined such that its matrix elements differ from the physical (QCD) ones by O(1/M). At present, a (probably small) perturbative uncertainty enters in this step. As an application, we renormalize existing unimproved data on F_B^{bare} and extrapolate to the continuum limit. We also study an interesting function h(d/L,u) derived from the Schroedinger functional amplitude describing the propagation of a static quark-antiquark pair.
Heitger Jochen
Kurth Martin
Sommer Rainer
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