Confinement mechanism and duality in QCD

以下结果主要来自使用KEK的SR8000 （VPP500）和RIKEN的VPP700进行的蒙特卡罗模拟研究：(1)完整的QCD：与DESY和ITEP小组的国际合作已经开始。初步数据表明，单极子密度比淬火时高得多。(2)纯SU (3) QCD：约束三单极电流的几乎完美单极作用是固定的。计算了静电位、弦张力和胶球质量。(3)阿贝尔优势的规距依赖性：利用不同规距下的块自旋变换研究了单极子物理的规距独立性。(4)在SU2 QCD中测量了Abrikosov涡旋周围的电场通量和磁流，结果与双迈斯纳效应的结果一致。(5) DGL理论的模拟：对DGL理论中的电场通量分布进行了数值测量，与QCD相似。(6) T≠0 QCD：通过对各向异性晶格的模拟，得到了表现连续尺度的单极子作用。单极子的库仑-气相图可以很好地描述QCD高温相的非微扰效应。(7)成功实现了连续统理论的封堵。所得的点阵作用与数值推导结果一致。

The following results have been obtained mainly from Monte-Carlo simulation studies using SR8000 (VPP500) at KEK and VPP700 at RIKEN: (1) full QCD : International collaboration with DESY and ITEP groups has begun. Preliminary data shows monopole density is much higer than that in the quenched case. (2) pure SU (3) QCD: Almost perfect monopole action for constrained three monopole currents is fixed. The static potential, the string tension and the glueball mass are evaluated. (3) Gauge (in) dependence of abelian dominance: Gauge independence of the monopole physics are studied using various block-spin transformations with various gauges. (4) Flux of electric field and magnetic current around Abrikosov vortex is measured in SU2 QCD and results are consistent with those of the dual Meissner effect.(5) Simulations of DGL theory: The electric-field flux distribution is measured in DGL theory numerically which looks similar to that of QCD. (6) T≠0 QCD: From the simulations on anisotropic lattice, monopole actions showing the continuum scaling are obtained. The Coulomb-gas picture of monopoles can describe well non-perturbative effects in the high temperature phase of QCD.(7) Blocking from the continuum theory is performed successfully. The obtained lattice action is shown to be compatible with that derived numerically.