Study of QCD confinement mechanism using large-scale parallel computers

主要通过使用KEK的SR8000 （VPP500）和RIKEN的VPP700进行蒙特卡罗模拟研究得到以下结果：(1)纯SU (2) QCD：在连续体极限下获得了几乎完美的单极子作用。通过构造一个完美算子，我们得到了连续体极限下的旋转不变性。这种作用可以精确地转化为晶格上的弦理论和对偶金兹堡-朗道理论。(2)纯SU (3) QCD：包含三个单极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)三维george - glashow模型：晶格瞬态作用在一定参数范围内是数值固定的。它与Polyakov计算的稀气近似是相容的。(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，得到了空间-空间和时空单极子作用。它们在高温相中表现出很大的不同。(7)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。

The following results have been obtained mainly from Monte-Carlo simulation studies using SR8000 (VPP500) at KEK and VPP700 at RIKEN :(1)pure SU (2) QCD : Almost perfect monopole action in the continuum limit is obtained. Along with a perfect operator constructed, it leads us to the rotational invariance in the continuum limit. The action can be transformed exactly into a string theory and the dual Ginzburg-Landau theory on the lattice. (2) pure SU (3) QCD : Almost perfect monopole action for constained three monopole courrents 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) 3d Georgi-Glashow model : lattice instanton action is fixed numerically for some range of parameters. It is shown to be compatible with the dilute-gas approximation of Polyakov's calculation. (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, space-space and time-time monopole actions are obtained. They are shown to be quite different in the high-temperature phase. (7) full QCD : Intertational collaboration with DESY and ITEP groups has begun. Preliminary data shows monopole density is much higer than that in the quenched case.