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.