Quark mass dependence of nucleon mass and axial-vector coupling constant

2005/12/21 by M. Procura, B. U. Musch, T.R. Hemmert +3
Physics and Astronomy · #Baryon #Coupling constant #Extrapolation #Lattice (music) #Lattice QCD #Nucleon #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Quantum chromodynamics #Quark #hep-lat

paper · pdf · doi:10.1016/j.nuclphysbps.2006.01.042

published as Nucl.Phys.Proc.Suppl. 153 (2006) 229-233 · 5 pages, 7 figures, Talk given at the Workshop on Computational Hadron Physics, Nicosia, Cyprus, 14-17 September 2005

arxiv created 2005/12/21 · openalex publication_date 2006/02/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We present an updated analysis of the quark mass dependence of the nucleon mass and nucleon axial-vector coupling g_A, comparing different formulations of SU(2) Baryon Chiral Effective Field Theory, with and without explicit delta (1232) degrees of freedom. We discuss the outcome of the corresponding interpolations between lattice QCD data and the physical values for these two nucleon observables. It turns out that in order to obtain successful interpolating functions at one-loop order, the inclusion of explicit delta (1232) degrees of freedom is not decisive for the nucleon mass but crucial for g_A. A chiral extrapolation of recent lattice results by the LHP collaborations is also shown.

Citations

• One-loop analysis of the reaction πN→ππN
• Chiral extrapolations and the covariant small scale expansion☆☆This research is part of the EU Integrated Infrastructure Initiative Hadron Physics Project under contract number RII3-CT-2004-506078. Work supported in part by DFG (SFB/TR 16, “Subnuclear Structure of Matter”) and BMBF.
• Infrared regularization with spin-3/2 fields