Study of QCD confinement mechanism using large-scale parallel computers

主要通过在KEK用SR8000(VPP500)和在RIKEN用VPP700进行蒙特卡罗模拟得到了以下结果：(1)纯SU(2)QCD：在连续极限下获得了几乎完美的单极作用量。随着一个完美算符的构造，它将我们引向连续统极限中的旋转不变性。作用量可以精确地转化为格子上的弦理论和对偶Ginzburg-Landau理论。(2)纯SU(3)QCD：受约束的三个单极子电流的几乎完美单极子作用是固定的。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)三维Georgi-Glasow模型：晶格瞬子作用量在一定的参数范围内是固定的。结果表明，它与Polyakov计算的稀薄气体近似是一致的。(5)DGL理论的模拟：在DGL理论中数值测量了电场的通量分布，与QCD的结果相似。(6)T≠0 QCD：从各向异性格子上的模拟得到了时空和时间的单极作用。在高温阶段，它们被证明是完全不同的。(7)全面的QCD：与DESY和ITEP小组的互动合作已经开始。初步数据表明，单极密度远高于淬火情况下的密度。

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.