Study of QCD confinement mechanism using large-scale parallel computers

利用大规模并行计算机研究QCD约束机制

• 批准号: 10440073
• 负责人: SUZUKI Tsuneo
• 金额: $ 8.51万
• 依托单位: Kanazawa University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (B).
• 财政年份: 1998
• 资助国家: 日本
• 起止时间: 1998 至 2000
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-10440073/
• 关键词: Quark confinement; Monopole; Monte-Carlo Simulation; Lattice QCD; Dual transformation; Infrared effective theory of QCD; Finite-temperature phase transition; topology; モノポール; クォークの閉じ込め; quarle confinement; laltico

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.

利用KEK的SR 8000（VPP 500）和RIKEN的VPP 700进行了蒙特-卡罗模拟研究，主要得到以下结果：（1）纯SU（2）QCD：在连续极限下得到了几乎完全的量子作用量。沿着一个完备算子的构造，它使我们得到连续极限下的转动不变性。这种作用量可以精确地转化为弦理论和格点上的对偶Ginzburg-Landau理论。(2)纯SU（3）QCD：约束三个单极流的几乎完美的单极作用量是固定的。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)3d Georgi-Pasthow模型：晶格瞬子作用在一定参数范围内数值固定。它被证明是兼容的稀气体近似的Polyakov的计算。(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)QCD：通过对各向异性格点的模拟，得到了时空和时间的相互作用。它们在高温阶段表现出很大的不同。(7)完整的QCD：与DESY和ITEP小组的互动合作已经开始。初步的数据表明，碳纳米管的密度比淬火情况下的高得多。

项目成果

M.N.Chernodub et al.: "Almost Perfect quantum latlice, action for low-energy SU (2) gluodynamics"Phyo.Rev.. D62. 094506-1-16 (2000)

M.N.Chernodub 等人：“几乎完美的量子点阵，低能 SU (2) 胶动力学的作用”Phyo.Rev.. D62。

S.Fujimoto et al.: "A quantum perfect letlice action for monopoles ad strinro"Phyo.Lett.. B476. 437-447 (2000)

S.Fujimoto 等人：“单极子 ad strinro 的量子完美 letlice 作用”Phyo.Lett.. B476。

T.Okude et al.: "Monopoles and hadron spectrum in quenched QCD" Nucl.Phys. B533. 576-590 (1998)

T.Okude 等人：“淬灭 QCD 中的单极子和强子谱”Nucl.Phys。

S.Fujimoto: "A quantum perfect lattice action for mopoles and strings"Phyo.Lett.. B476. 437-447 (2000)

S.Fujimoto：“磁极和弦的量子完美晶格作用”Phyo.Lett.. B476。

F.Shoji: "A new gauge-fixing method for abelian projection."Phys.Lett.. B476. 199-204 (2000)

F.Shoji：“一种新的阿贝尔投影规范固定方法。”Phys.Lett.. B476。