2008/10/31 by W. Armour, Wesley Armour, C. R. Allton +5 · 18 citations
Physics and Astronomy · #Condensed matter physics #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Nucleon #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Spectrum (functional analysis) #hep-lat #hep-ph
paper · pdf · doi:10.1016/j.nuclphysa.2010.03.012
published in Nuclear Physics A 840(1-4), 97-119 (Elsevier BV) · Now includes calculation of low energy constants of nucleon mass chiral extrapolation. 32 pages, 10 figures. Version accepted for publication.
openalex publication_date 2010/04/19 · arxiv created 2010/04/27 · arxiv updated 2014/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The chiral extrapolation of the nucleon mass, Mn, is investigated using data coming from 2-flavour partially-quenched lattice simulations. A large sample of lattice results from the CP-PACS Collaboration is analysed using the leading one-loop corrections, with explicit corrections for finite lattice spacing artifacts. The extrapolation is studied using finite range regularised chiral perturbation theory. The analysis also provides a quantitative estimate of the leading finite volume corrections. It is found that the discretisation, finite-volume and partial quenching effects can all be very well described in this framework, producing an extrapolated value of Mn in agreement with experiment. Furthermore, determinations of the low energy constants of the nucleon mass's chiral expansion are in agreement with previous methods, but with significantly reduced errors. This procedure is also compared with extrapolations based on polynomial forms, where the results are less encouraging.