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Ananthanaryan, B., et al. (2018) Electromagnetic Charge Radius of the Pion at High Precision. arXiv hep-ph/1706.04020

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• TITLE: Quantum Chromodynamics on Lattice: Direct Minimization of QCD-QED-Action with New Results

  AUTHORS: Jan Helm

  KEYWORDS: QCD, QED, QCD On-Lattice, Color Lagrangian, Hadrons

  JOURNAL NAME: Journal of High Energy Physics, Gravitation and Cosmology, Vol.10 No.1, January 29, 2024

  ABSTRACT: This paper describes a new numerical QCD calculation method (direct minimization of QCD-QED-action) and its results for the first-generation (u, d) hadrons. Here we start with the standard color-Lagrangian LQCD = LDirac + Lgluon, model the quarks qi as parameterized gaussians, and the gluons Agi as Ritz-Galerkin-series. We minimize the Lagrangian numerically with parameters par = (par (q), {αk}, par (Ag)) for first-generation hadrons (nucleons, pseudo-scalar mesons, vector mesons). The resulting parameters yield the correct masses and correct magnetic moments for the nucleons, the gluon-distribution and the quark-distribution with interesting insights into the hadron structure.