A nonperturbative determination of the O(a) improvement coefficient c_A and the scaling of f_pi and m^{MSbar}

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dc.creatorCollins, S.
dc.creatorDavies, C. T. H.
dc.creatorLepage, G. P.
dc.creatorShigemitsu, J.
dc.date2001-10-18
dc.date.accessioned2026-07-07T10:32:30Z
dc.date.available2026-07-07T10:32:30Z
dc.descriptionWe report on an investigation of the LANL method for determining the O(a) improvement coefficient c_A nonperturbatively. We find we are able to extract reliable estimates for the coefficient using this method. However, our study of systematic errors shows that for very accurate determinations of c_A, the smearing function must be tuned and the volume fixed to keep the O(a) ambiguity in c_A fixed as beta varies. Consistency was found with previous results from the LANL group and (within fairly large errors) 1-loop perturbation theory; c_A does not change significantly over the range beta=5.93-6.2. The big difference between our results and those of the ALPHA collaboration, around beta=6.0, show that the O(a) differences in c_A between the different methods can be large. We find that the lattice spacing dependence of f_pi and the renormalised quark mass is much smaller using our values of the coefficient compared to those of the ALPHA collaboration.
dc.description19 pages revtex, 13 tables, 15 figures
dc.identifierhttps://arxiv.org/abs/hep-lat/0110159
dc.identifierhttp://arxiv.org/abs/hep-lat/0110159
dc.identifierPhys.Rev.D67:014504,2003
dc.identifierdoi:10.1103/PhysRevD.67.014504
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/178777
dc.subjectHigh Energy Physics - Lattice
dc.titleA nonperturbative determination of the O(a) improvement coefficient c_A and the scaling of f_pi and m^{MSbar}
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