The Research For The Ginzburg-landau Model Of Knotted Flux-tube And Glueball-like Fj Mesons

According to the theory of strong interaction, quantum chromodynamics(QCD),there will be pure-glue excitation known as glueball, and the qqˉstates with explicitglue(known as hybrid mesons), which can have quantum numbers forbidden to the qqˉsystems in the naive quark model. These gluonic excitations has been the subject ofthe extensive experimental and theoretical studies as the identification and observationof these objects can be a good test of QCD at the low-energy limit. Lattice field the-ory support gluon dynamics of Abel Dominant mechanism and the dual superconductingmodel approximation. In addition, using the field decomposition principle and the gluonLagrangian,under the assumption of the Abel dominant mechanism,people can use pureYang-Mills Lagrangian to get the dual Ginzburg-Landau (GL) model.However, in the functional integral, the model is got from the integral of a magneticvariable field decomposition,so it will lost knot characteristics of dynamics, which de-scribes the non-trivial knot dynamics. As Nielson-Oleson vortex,efective dual GL modelis only applicable to the physical description of vortex cross-section, or the long straightvortex. In this paper,in order to describe the axial knot characteristic, three-dimensionaltopological gluon field excitation can be got by considering the type of knot-like chromoflux-tube.By applying flux-tube vortex cross-section distribution in our model and taking intoaccount of the quantum vibrations of the glue and short-range Coulomb correction,wecan calculate the corresponding meson energy spectrum. And after the comparison withexperimental results,we get the conclusion that energy of chromatic-electronic flux-tubecan indeed be consistent with low-energy glueball and fJmeson spectrum.This thesis is divided into three parts, the first part is the background knowledge of el-ementary particles, quantum chromodynamics (QCD),the second part is the derivation ofthe Ginzburg-Landau model and the calculation of the parameter of Ginzburg-Landau,thethird part is to use the Ginzburg-Landau model combined with the vortex flux-tube tocalculate the masses of glueballs and mesons.Chapter I: Introduction to the classification of elementary particles in nature, mesons,four kinds of interactions, the basic theory of QCD (quantum chromodynamics),which de-scribes the strong interaction and its basic characteristics (quark confinement and asymp-totic freedom), QCD low-energy theory and a variety of equivalent model.Chapter II: Starting from the Lagrangian of the gluon, using random phase ap-proximation, a dual Ginzburg-Landau model can be gain. After that, we calculatedthe Ginzburg-Landau parameter κ and found that it is in good agreement with lattice- simulated values.Chapter III: The energy expression of the glueballs and fJmesons’ model is derivedUsing the Glueballs and fJmesons’ model,the energy is calculated in three diferent sets ofparameters. we found that when the energy correction of flux-tube vibration is considered,our data have a good agreement with the experimental data.At last,the work of this thesis is summarized and given further improvement for thedirection of the our model.