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.

以下结果主要通过使用 KEK 的 SR8000 (VPP500) 和 RIKEN 的 VPP700 的蒙特卡罗模拟研究获得：(1)纯 SU (2) QCD：在连续介质极限中获得几乎完美的单极子作用。随着完美算子的构建，它使我们得到了连续极限中的旋转不变性。该作用可以精确地转化为弦理论和格子上的对偶Ginzburg-Landau理论。 (2)纯SU (3)QCD：固定三个单极子电流的近乎完美的单极子作用。评估静电势、弦张力和胶球质量。 (3) 阿贝尔优势的规范（in）依赖性：使用具有各种规范的各种块自旋变换来研究单极子物理的规范独立性。 (4) 3d Georgi-Glashow 模型：对于某些参数范围，晶格瞬子作用在数值上是固定的。它被证明与 Polyakov 计算的稀气体近似兼容。 (5) DGL 理论的模拟：DGL 理论以数值方式测量了电场通量分布，与 QCD 类似。 (6) T≠0 QCD：从各向异性晶格的模拟中，得到时空单极子作用。它们在高温阶段表现出很大的不同。 (7) 全面的QCD：与DESY和ITEP小组的国际合作已经开始。初步数据显示单极子密度比淬火情况下的密度高得多。

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。