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.

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。

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。