Confinement mechanism and duality in QCD

利用KEK的SR8000（VPP500）和RIKEN的VPP700进行的蒙特-卡罗模拟研究主要得到以下结果：（1）全量子色动力学：与DESY和ITEP小组的国际合作已经开始。初步的数据表明，碳纳米管的密度比淬火情况下的高得多。(2)纯SU（3）QCD：约束三个量子流的几乎完美量子作用量是固定的。计算了胶球的静电势、弦线张力和胶球质量。(3)阿贝尔优势的规范（不）依赖性：使用各种规范的各种块自旋变换研究了量子物理的规范独立性。(4)在SU 2 QCD中测量了Abrikosov涡旋周围的电场通量和磁流通量，其结果与双Meissner效应的结果一致。(5)DGL理论的模拟：在DGL理论中数值测量了电场通量分布，这看起来与QCD相似。(6)在各向异性格点上的模拟结果表明，量子色动力学的作用是连续标度的。磁单极子的库仑气体图像能很好地描述QCD高温相的非微扰效应。(7)成功地进行了连续统理论的阻塞。所得到的晶格行动是兼容的数值推导。

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.