Confinement mechanism and duality in QCD

主要通过使用KEK的SR8000(VPP500)和RIKEN的VPP700的蒙特卡罗模拟研究获得了以下结果：(1)全面的QCD：与DESY和ITEP小组的国际合作已经开始。初步数据表明，单极密度远高于淬火情况下的密度。(2)纯SU(3)QCD：受约束的三个单极电流的几乎完美单极作用是固定的。计算了静电势、弦张力和胶球质量。(3)规范对阿贝尔占优的依赖性：用不同规范的块-自旋变换研究了单极物理的规范无关性。(4)在SU2 QCD中测量了Abrikosov涡旋周围的电场和磁流的通量，结果与双重迈斯纳效应的结果一致。(5)DGL理论的模拟：用DGL理论数值计算了Abrikosov涡周围的电场和磁流的分布，结果与QCD的结果相似。(6)T≠0 QCD：通过对各向异性晶格的模拟，得到了表现连续标度的单极作用。单极子的库仑气体图像可以很好地描述QCD高温相中的非微扰效应。(7)成功地实现了连续介质理论的阻塞。得到的晶格作用量与数值推导的晶格作用量是一致的。

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.