Monte-Carlo Study of Quark Confinement in QCD

QCD 中夸克禁闭的蒙特卡罗研究

• 批准号: 04640289
• 负责人: SUZUKI Tsuneo
• 金额: $ 1.47万
• 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 General Scientific Research (C)
• 财政年份: 1992
• 资助国家: 日本
• 起止时间: 1992 至 1993
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-04640289/
• 关键词: Quark confinement; Monopole; Monte-Carlo Simulation; Lattice QCD; Dual transformation; Infrared effective theory of QCD; Finite-temperature phase transition; カラーの閉じ込め; モノポール; 格子QCD; モンテ・カルロ,シミュレーション; アーベリアン射影

(Monte-Carlo simulations)1992 : 1 ) Abelian projection was performed in the lattice SU(2) QCD.Using vacuum configurations and lattice Schwinger-Dyson equations, we have fixed effective U(1) action in terms of U(1) link fields. But we found we need more and more terms when we go to larger beta.2)The difference of timelike and spacelike monopole currents is shown to be a good order parameter of finite-temperature full SU(2) QCD.1993 : 1) Efective U(1) action is determined compactly in terms of monopole currents using Swendsen's method. We found monopole condensation is shwon to happen also in the confinement phase of SU(2) QCD.2)The string tension is reproduced by monopole contribution alone and the Coulomb term is from photons alone after the abelian projection in the maximally abelian gauge.3)The confinement vacuum is studied evaluating correlations between a Wilson loop and monopole currents and another Wilson loop. The vacuum is seen to be around the border between type-1 and type-2 super (magnetic) conductor.(Analytic study of infrared effective QCD)1992 : The analysis is extended to the static baryon case. We got the potential for the general configuration of the three quarks. It is approximately determined by the linear length of the strings between the sources.1993 : We evaluated spin and velocity dependent baryon potential in the simplest configuration case.

（蒙特卡罗模拟）1992 : 1 ) 在晶格 SU(2) QCD 中进行阿贝尔投影。使用真空配置和晶格 Schwinger-Dyson 方程，我们根据 U(1) 链接固定了有效的 U(1) 作用字段。但我们发现当我们达到更大的 beta 时，我们需要越来越多的项。2）类时单极子电流和类空单极子电流的差异被证明是有限温度全 SU(2) QCD.1993 的良好有序参数：1) 有效使用 Swendsen 方法根据单极电流紧凑地确定 U(1) 作用。我们发现单极子凝聚也发生在 SU(2) QCD 的限制相中。2)弦张力仅由单极子贡献再现，库仑项仅来自最大阿贝尔规范中的阿贝尔投影后的光子。3 ）研究了约束真空，评估威尔逊环路和单极电流与另一个威尔逊环路之间的相关性。真空被视为围绕 1 型和 2 型超（磁）导体之间的边界。（红外有效 QCD 的分析研究）1992：分析扩展到静态重子情况。我们得到了三夸克一般配置的潜力。它大约由源之间弦的线性长度决定。1993：我们在最简单的配置情况下评估了自旋和速度相关的重子势。

项目成果

S.Hioki: "Monopole Condensation in Momentum Space in SU(2) Lattice Gauge Theory" Phys.Lett.B. 285. 343 (1992)

S.Hioki：“SU(2) 晶格规范理论中动量空间中的单极子凝聚” Phys.Lett.B。

S.Hioki, S.Kitahara, Y.Matsubara, O.Miyamura, S.Ohno and T.Suzuki: "Monopole Condensation in Momentum Space in SU(2) Lattice Gauge Theory" Phys.Lett. 285B. 343 (1992)

S.Hioki、S.Kitahara、Y.Matsubara、O.Miyamura、S.Ohno 和 T.Suzuki：“SU(2) 晶格规范理论中动量空间中的单极子凝聚” Phys.Lett。

T.Suzuki: "Monopole Condensaton and Confinement in QCD" Proceeding of International School-Seminar '93-Hadrons and Nuclei from QCD. (World Scientific, 1994).

T.Suzuki：“QCD 中的单极子凝聚和限制”国际学校研讨会 93-QCD 中的强子和原子核论文集。

S.Ohno, S.Ilyar, S.Kitahara, Y.Matsubara, H.Ohkubo and T.Suzuki: "Can Monopoles alone reproduce the string tension also in SU(2) lattice QCD?" Nucl.Phys.B(Proc.Suppl.)30. 561-564 (1993)

S.Ohno、S.Ilyar、S.Kitahara、Y.Matsubara、H.Ohkubo 和 T.Suzuki：“单极子也能在 SU(2) 晶格 QCD 中再现弦张力吗？”

S.Kamizawa, Y.Matsubara, H.Shiba and T.Suzuki: "A Static Baryon in a Dual Abelian Effective Theory of QCD" Nucl.Phys.B389. 563-573 (1993)

S.Kamizawa、Y.Matsubara、H.Shiba 和 T.Suzuki：“QCD 对偶阿贝尔有效理论中的静态重子”Nucl.Phys.B389。