High Energy Particle Physics


Quantum Chromodynamics on Lattice: State-of-the-Art and New Methods with New Results

Authors: Jan Helm

This paper consists of two parts. Part A is a state-of-the-art report in quantum chromodynamics. Here is presented in a concise form: the QCD gauge-theory, the standard model and its particles, the perturbative QCD (QCD/QED Feynman diagrams with results), QCD on-lattice with Wilson loops. Part B 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-expansion. We minimize the Lagrangian 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, correct magnetic moments for the nucleons, the gluon-distribution and the quark-distribution with interesting insights into the hadron structure.

Comments: 55 Pages.

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Submission history

[v1] 2019-05-23 11:33:45

Unique-IP document downloads: 36 times

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