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中对对偶格点进行块自旋变换，得到的块自旋作用量在长程区域是由自相互作用项和库仑相互作用项组成的简单形式。该作用量可以精确地转化为对偶Ginzburg-Landau模型、类Villain紧致QED和弦模型的作用量。在SU（3）QCD中也可以导出有效的阿贝尔作用量，并证明了单极凝聚的存在。这是第一个从QCD的有效阿贝尔作用量精确导出的结果。4）用有限尺度标度法计算了Polyakov环及其分解子的临界指数。用阿贝尔链域和用广义贡献表示的Polyakov环给出了几乎相同的三种临界指数。5）发现了两个新的阿贝尔和阿贝尔优势度规，一个是最小化阿贝尔作用量，另一个是最小化阿贝尔作用密度。两者都再现了与最大阿贝尔规范相同的物理结果。6）从量子凝聚的角度研究了SU（2）和SU（3）量子色动力学的温度相变; 7）完成了全量子色动力学的研究。尽管晶格尺寸太小，夸克质量也不够小，但阿贝尔和夸克占优也出现在完整的QCD中。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。