QCD-monopoles and Instantors for Color Confinement

用于颜色限制的 QCD 单极子和瞬时器

• 批准号: 09640359
• 负责人: SUGANUMA Hideo
• 金额: $ 0.77万
• 依托单位: Osaka University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1997
• 资助国家: 日本
• 起止时间: 1997 至 1999
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09640359/
• 关键词: QCD; quark; gluon; confinement; monopole; instanton; lattice gauge theory; maximally alelian gauge; クオーク; 格子QCD; 強い相互作用; グル-オン; カイラル対称性; QCD; quark; gluon; confinement; monopole; instanton; lattice gauge theory; maximally alelian gauge; クオーク; 格子QCD; 強い相互作用; グル-オン; カイラル対称性

This year, I have studied "quark confinement" in quantum chromodynamics (QCD) based on the lattice-QCD Monte Carlo simulations and the QCD effective theory. The main results are listed as follows.1. Using the lattice QCD, I have investigated gluon propagators in the maximally abelian (MA) gauge, and have shown that the off-diagonal gluon behaves as a massive field with a large mass about 1 GeV in the MA gauge. Such effective mass generation of off-diagonal gluons is considered as the physical origin of "abelian dominance" for the nonperturbative QCD, which has been observed in the lattice QCD.2. I have pointed out the strong randomness of the off-diagonal gluon phase in the MA gauge, due to the strong suppression of the off-diagonal gluon amplitude. I have also analytically proved perfect "abelian dominance" for the string tension or the confinement force, within the random-variable approximation for the off-diagonal gluon phase.3. From the mathematical analysis on the MA gauge fixing, I have derived the SU(NィイD2cィエD2) gauge-invariance criterion for the physical quantities defined in the MA gauge.4. I have found that the QCD-monopole, which appears in the MA gauge, has a peculiar structure relating to the large off-diagonal gluon amplitude around its center like the't Hooft-Polyakov monopole.5. I have investigated the glueball as a color-flux ring. I have also estimated the decay rate of the 0ィイD1++ィエD1-scalar glueball which is identified as QCD-monopole (the dual Higgs particle).6. I have shown extended-monopole clustering in the multi-instanton system in the MA gauge. I have also found the confining force arising in the intermediate range about 1 fm in the multi-instanton system.7. I have predicted a local correlation between instantons and QCD-monopoles in the MA gauge in terms of the off-diagonal gluon.

今年，我研究了基于Lattice-QCD Monte Carlo模拟和QCD有效理论的量子染色体动力学（QCD）中的“夸克限制”。主要结果列出如下1。使用晶格QCD，我在最大的Abelian（MA）仪表中调查了面筋繁殖物，并表明Off-Diagonal Gluon的表现是一个巨大的领域，MA仪表中约有1 GEV。这种有效的质量产生的非对角纤维被认为是非扰动QCD的“阿贝尔优势”的物理起源，在晶格QCD.2中已经观察到。我指出，由于对脱节的Gluon放大器的强烈抑制，MA仪表中脱节gluon相的强随机性。我还在分析上证明，在非对角线gluon阶段的随机变量近似中，我对弦乐张力或限制力是完美的“阿贝尔优势”。3。从有关MA量规固定的数学分析中，我得出了SU（NII D2CIE D2）仪表变量标准，用于MA仪表中定义的物理量。4。我发现出现在MA仪表中的QCD-Monopole具有与Hooft-Polyakov Monopole（如Hooft-Polyakov Monopole.5）相关的奇特结构，该结构与大型非偏角Gluon放大器有关。5。我已经将粘合球调查为颜色升华戒指。我还估计了0II D1 ++ IE D1-Scalar胶球的衰减速率，该粘合球被识别为QCD-Monopole（双Higgs粒子）。6。我已经在MA仪表中的多个内斯坦顿系统中显示了扩展的单重点聚类。我还发现，在多个内斯坦顿系统中，中间范围约为1 fm。7。我已经预测，在脱离基因的Gluon方面，MA仪表中的Instantons和QCD单键杆之间存在局部相关性。