Non-perturbative renormalization of the static axial current in quenched QCD

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dc.creatorHeitger, Jochen
dc.creatorKurth, Martin
dc.creatorSommer, Rainer
dc.date2003-02-25
dc.date2003-11-04
dc.date.accessioned2026-07-07T10:48:21Z
dc.date.available2026-07-07T10:48:21Z
dc.descriptionWe 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.
dc.description34 pages, 12 postscript figures, 9 tables, latex2e; version published in Nucl. Phys. B, only 1 reference added
dc.identifierhttps://arxiv.org/abs/hep-lat/0302019
dc.identifierhttp://arxiv.org/abs/hep-lat/0302019
dc.identifierNucl.Phys.B669:173-206,2003
dc.identifierdoi:10.1016/S0550-3213(03)00552-2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183846
dc.subjectHigh Energy Physics - Lattice
dc.titleNon-perturbative renormalization of the static axial current in quenched QCD
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