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 - 卡洛模拟）1992：1）在晶格SU（2）QCD中进行了Abelian投影。使用真空配置和晶格Schwinger-Dyson方程，我们在U（1）链接字段方面固定了有效的U（1）行动。但是我们发现，当我们进入较大的β时，我们需要越来越多的术语。2）及时的和空位般的单子电流的差异被证明是有限的效果全su（2）qcd.1993：1）的良好订单参数（1）效应U（1）效率U（1）用使用Swendsen方法按单极性水流按单极性表达了效率U（1）动作。我们发现，单子凝结也发生在SU（2）QCD.2）的限制阶段，仅由单子贡献来复制，而库仑的术语仅来自光子，在Abelian投影后，在Abelian Protofution in Abelian Protofution in Maximimimimian obelian abelian parguge.3）proctient vacum and wilson loops and wilson coreltation and Monsone prouts and wilson colore corlots and Monson wilson corlore corlore and Monson wilson corportation and Monson。真空被认为位于1型和2型超级（磁性）导体之间的边界附近。（红外有效QCD的分析研究）1992：分析扩展到静态巴属案例。我们具有三个夸克的一般配置的潜力。它是由源之间的字符串的线性长度确定的。1993：我们在最简单的配置情况下评估了自旋和速度依赖性的baryon电位。

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。