Chiral Extrapolations and the Covariant Small Scale Expansion

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dc.creatorBernard, Véronique
dc.creatorHemmert, Thomas R.
dc.creatorMeißner, Ulf-G.
dc.date2005-03-17
dc.date2005-07-05
dc.date.accessioned2026-07-07T03:39:16Z
dc.date.available2026-07-07T03:39:16Z
dc.descriptionWe calculate the nucleon and the delta mass to fourth order in a covariant formulation of the small scale expansion. We analyze lattice data from the MILC collaboration and demonstrate that the available lattice data combined with our knowledge of the physical values for the nucleon and delta masses lead to consistent chiral extrapolation functions for both observables up to fairly large pion masses. This holds in particular for very recent data on the delta mass from the QCDSF collaboration. The resulting pion-nucleon sigma term is sigma_{piN} = 48.9 MeV. This first quantitative analysis of the quark-mass dependence of the structure of the Delta(1232) in full QCD within chiral effective field theory suggests that (the real part of) the nucleon-delta mass-splitting in the chiral limit, Delta_0 = 0.33 GeV, is slightly larger than at the physical point. Further analysis of simultaneous fits to nucleon and delta lattice data are needed for a precision determination of the properties of the first excited state of the nucleon.
dc.description11 pp, 2 figs, version accepted for publication in Phys. Lett. B
dc.identifierhttps://arxiv.org/abs/hep-lat/0503022
dc.identifierhttp://arxiv.org/abs/hep-lat/0503022
dc.identifierPhys.Lett. B622 (2005) 141-150
dc.identifierdoi:10.1016/j.physletb.2005.06.088
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/38856
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectNuclear Theory
dc.titleChiral Extrapolations and the Covariant Small Scale Expansion
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