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)在SU(2)QCD中进行了对偶晶格上的块自旋变换，得到的单极作用在长程区是由自旋和库仑相互作用项组成的简单形式。这个作用量可以精确地转化为对偶Ginzburg-Landau模型、恶棍般的紧致QED和弦模型。物理弦张力可以很好地再现。2)在SU(3)QCD中也可以得到有效的阿贝尔单极子作用。单极凝聚被证明是存在的。3)利用得到的单极作用可以构造禁闭的无序参数。这是第一个完全由QCD的有效阿贝尔作用得到的结果。4)用有限尺寸标度法计算了Polyakov环及其关联子的临界指数。用阿贝尔链接场和单极贡献写成的Polyakov环给出了三种类型的几乎相同的临界指数。可以定量地显示阿贝尔和单极优势。5)发现了阿贝尔和单极优势的两种新规范。一个是最小化阿贝尔力，另一个是最小化阿贝尔单极子密度。两者重现的物理结果与最大阿贝尔规范中的结果大致相同。6)从单极凝聚的角度研究了SU(2)和SU(3)QCD的有限温度相变。7)研究了全QCD。尽管晶格尺寸太小，夸克质量还不够小，但在全QCD中也出现了阿贝尔和单极优势。这项研究仍在进行中。

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。

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

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。

H.Shiba and T.Suzuki: "Monopole action and condensation in SU (2) QCD" Phys.Lett.B351. 519-527 (1995)

H.Shiba 和 T.Suzuki：“SU (2) QCD 中的单极子作用和凝聚”Phys.Lett.B351。