1998/10/31 by Derek B. Leinweber, Ding H. Lu, A. W. Thomas +1 · 103 citations
Physics and Astronomy · #Chiral perturbation theory #Hadron #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Lattice field theory #Magnetic moment #Mathematical physics #Nucleon #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Quark #hep-lat #hep-ph
paper · pdf · doi:10.1103/physrevd.60.034014
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 60(3) (American Physical Society) · Revised version accepted for publication includes a new section demonstrating extrapolations of lattice QCD results
arxiv created 1999/06/29 · openalex publication_date 1999/07/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The quark mass dependence of nucleon magnetic moments is explored over a wide range. Quark masses currently accessible to lattice QCD, which lie beyond the regime of chiral perturbation theory (\ensuremathχPT), are accessed via the cloudy bag model (CBM). The latter reproduces the leading nonanalytic behavior of \ensuremathχPT, while modeling the internal structure of the hadron under investigation. We find that the predictions of the CBM are succinctly described by the simple formula \ensuremathμN(m_\ensuremathπ)=\ensuremathμN(0)/(1+\ensuremathαm_\ensuremathπ+\ensuremathβm_\ensuremathπ2), which reproduces the lattice data, as well as the leading nonanalytic behavior of \ensuremathχPT. As this form also incorporates the anticipated Dirac moment behavior in the limit m_\ensuremathπ\ensuremath→\ensuremath∞, it constitutes a powerful method for extrapolating lattice results to the physical mass regime.