2004/10/27 by Abdou Abdel-Rehim, Abdou M. Abdel-Rehim, Randy Lewis · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Algorithm #Form factor (electronics) #Generalized minimal residual method #Lattice (music) #Lattice QCD #Materials science #Mathematics #Matrix (chemical analysis) #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Residual #Superconducting Materials and Applications #hep-lat
paper · pdf · doi:10.1103/physrevd.71.014503
published as Phys.Rev. D71 (2005) 014503 · 19 pages, 12 figures
arxiv created 2004/10/27 · openalex publication_date 2005/01/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The pion form factor is computed using quenched twisted mass QCD and the GMRES-DR matrix inverter. The momentum averaging procedure of Frezzotti and Rossi is used to remove leading lattice spacing artifacts, and numerical results for the form factor show the expected improvement with respect to the standard Wilson action. Although some matrix inverters are known to fail when applied to twisted mass QCD, GMRES-DR is found to be a viable and powerful option. Results obtained for the pion form factor are consistent with the published results from other O(a) improved actions and are also consistent with the available experimental data.