Non-perturbative results for the coefficients b_m and b_a-b_p in O(a) improved lattice QCD

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dc.creatorGuagnelli, Marco
dc.creatorPetronzio, Roberto
dc.creatorRolf, Juri
dc.creatorSint, Stefan
dc.creatorSommer, Rainer
dc.creatorWolff, Ulli
dc.date2000-09-18
dc.date2000-09-19
dc.date.accessioned2026-07-07T10:51:55Z
dc.date.available2026-07-07T10:51:55Z
dc.descriptionWe determine the improvement coefficients b_m and b_a-bp in quenched lattice QCD for a range of beta-values, which is relevant for current large scale simulations. At fixed beta, the results are rather sensitive to the precise choices of parameters. We therefore impose improvement conditions at constant renormalized parameters, and the coefficients are then obtained as smooth functions of g_0^2. Other improvement conditions yield a different functional dependence, but the difference between the coefficients vanishes with a rate proportional to the lattice spacing. We verify this theoretical expectation in a few examples and are therefore confident that O(a) improvement is achieved for physical quantities. As a byproduct of our analysis we also obtain the finite renormalization constant which relates the subtracted bare quark mass to the bare PCAC mass.
dc.description25 pages, 8 figures, minor change at figures
dc.identifierhttps://arxiv.org/abs/hep-lat/0009021
dc.identifierhttp://arxiv.org/abs/hep-lat/0009021
dc.identifierNucl.Phys.B595:44-62,2001
dc.identifierdoi:10.1016/S0550-3213(00)00675-1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184988
dc.subjectHigh Energy Physics - Lattice
dc.titleNon-perturbative results for the coefficients b_m and b_a-b_p in O(a) improved lattice QCD
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