Study of quark confinement mechanism using large-scale (parallel) computers

利用大规模（并行）计算机研究夸克禁闭机制

• 批准号: 06452028
• 负责人: SUZUKI Tsuneo
• 金额: $ 4.8万
• 依托单位: Faculty of Science, 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: 1994
• 资助国家: 日本
• 起止时间: 1994 至 1996
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-06452028/
• 关键词: Quark confinement; Monopole; Monte-Carlo Simulation; Lattice QCD; Dual transformation; Infrared effective theory of QCD; Finite-temperature phase transition; モンテ・カルロシミュレーション; Confinement; Monopole

1) Block spin transformation on the dual lattice has been done in SU (2) QCD.The monopole action obtained takes a simple form composed of self and Coulomb interaction terms in the long range region. The action can be transformed exactly into those of the dual Ginzburg-Landau model, the Villain-like compact QED and the string model. Physical string tension can be reproduced quite well.2) The effective abelian monopole action can be derived also in SU (3) QCD.Monopole condensation is shown to occur.3) Disorder parameter of confinement can be constructed using the monopole action obtained. This is the first result derived exactly from the effective abelian action of QCD.4) Critical exponents of Polyakov loops and its correlators have been evaluated using finite-size scaling method. Polyakov loops written in terms of abelian link field and also in terms of monopole contribution give almost the same critical exponents of three types. Abelian and monopole dominance can be shown quantitatively.5) Two new gauges showing abelian and monopole dominances have been found. One is to minimize abelian action and the other is to minimize abelian monopole density. Both reproduce about the same physical results as in the maximally abelian gauge. The study in general gauges is in progress.6)Finite-temperature phase transitions of SU (2) and SU (3) QCD have been studied in terms of monopole condensation.7)Study of full QCD has been done. Abelian and monopole dominances are shown to occur also in full QCD,although the lattice size is too small and quark mass is not small enough. The study is still in progress.

1）双晶格上的块自旋变换已在su（2）QCD中进行。获得的单极作用采用了一个简单的形式，该形式由远程区域中的自我和库仑相互作用项组成。该动作可以精确地转换为双银堡 - 兰道模型，类似小人的紧凑型QED和弦模型的动作。物理弦张力可以很好地再现。2）有效的阿伯利亚单极作用也可以在su（3）QCD。单泊凝结显示出来。3）可以使用获得的单极作用来构建限制的疾病参数。这是QCD的有效阿贝尔动作的第一个结果。4）Polyakov回路的关键指数及其相关器已使用有限尺寸的缩放方法进行了评估。 Polyakov循环以Abelian Link字段和单极贡献而写的，给出了三种类型的几乎相同的关键指数。可以定量地显示阿贝利亚人和单子优势。5）发现了两个新的仪表，显示了阿贝里安和单极优势。一种是最大程度地减少阿贝尔动作，另一种是最大程度地减少阿贝尔单极密度。两者都繁殖与最大的Abelian仪表中相同的物理结果。 6）SU（2）和SU（3）QCD的有限温度相变已经进行了研究。7）对完整QCD进行了研究。尽管晶格尺寸太小，夸克质量不够小，但显示出Abelian和Monopole的优势也出现在完整的QCD中。该研究仍在进行中。

项目成果

H. Shiba: "Monopole action from vacuum confisuravousin compact QED" Phys. Lett. B. 343. 315-322 (1995)

H. Shiba：“真空 confisuravousin 紧凑 QED 的单极作用” Phys。

H. Shiba: "Monopoles and String tension in SU (2) QCD" Phys. Lett. B. 333. 461-466 (1994)

H. Shiba：“SU (2) QCD 中的单极子和弦张力” Phys。

H.Shiba: "Monopples and String Tension in SU(2)QCD" Physics Letters Sect B.333. 461-466 (1994)

H.Shiba：“SU(2)QCD 中的单子线和弦张力”《物理快报》B.333 节。

N.Arasaki, S.Ejiri, S.Kitahara, Y.Matsubara and T.Suzuki: "Monopole action and monopole condensation in SU (3) lattice QCD" to appear in Physics letters B.Preprint KANAZAWA 96-11, hep-lat/9608129.

N.Arasaki、S.Ejiri、S.Kitahara、Y.Matsubara 和 T.Suzuki：“SU (3) 晶格 QCD 中的单极子作用和单极子凝聚”出现在《物理快报》B.Preprint KANAZAWA 96-11，hep-lat 中

S.Ejiri, S.Kitahara, Y.Matsubara and T.Suzuki: "String Tension and Monopoles in T<double plus>0 SU (2) " Phys.Lett.B343. 304-309 (1995)

S.Ejiri、S.Kitahara、Y.Matsubara 和 T.Suzuki：“T<double plus>0 SU (2) 中的弦张力和单极子” Phys.Lett.B343。