扭结磁通管和类胶球$f_{J}$介子的Ginzburg-Landau模型
A Ginzburg-Landau model of knotted flux-tube and glueball-like $f_{J}$ mesons
摘要：
利用胶子场的协变分解和无规相位近似，重新讨论了扭结色电通量管的对偶Ginzburg-Landau模型。结果表明，SU（2）QCD真空是II型超导体，Ginzburg-Landau参数$κ= \sqrt{3}$与磁凝聚和强耦合无关，与格点数据一致.本文利用打结（链接）QCD流管的能量计算了若干个以$J\leq 2$为主的$f_{J}$介子态的质量谱。低位$f_{J}$状态（$leq 1.7GeV$）被证明是与结拓扑结构中的类型$2_{1}^{2}$和$K=3_{1}^{}$的弦激励。
英文摘要：
A dual Ginzburg-Landau model of the knotted chromo-electric flux-tube is revisited, in which the covariant decomposition of gluon field and the random phase approximation are used. It is shown that the SU(2) QCD vacuum is of type-II superconductor, with the Ginzburg-Landau parameter $κ= \sqrt{3}$, being independent of the magnetic condensate and strong coupling used, and consistent with the lattice data. The mass spectrum of a number of $f_{J}$ meson states with $J\leq 2$, which are taken to be of glue dominate, are computed with help of the energies of the knotted(linked) QCD fluxtubes. The low-lying $f_{J}$ states ($leq 1.7GeV$) are shown to be associated with the string excitations of the types $2_{1}^{2}$ and $K=3_{1}^{}$ in knot topologies.
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