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QCD-monopoles and Instantors for Color Confinement

用于颜色限制的 QCD 单极子和瞬时器

基本信息

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

项目摘要

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.

这一年，我在晶格-量子色动力学蒙特卡洛模拟和量子色动力学有效理论的基础上研究了量子色动力学中的“夸克约束”。主要研究结果如下：1。利用晶格QCD，我研究了最大阿贝尔规范中的胶子传播子，并证明了非对角线胶子在最大阿贝尔规范中表现为质量约为1 GeV的大质量场。这种非对角线胶子的有效质量生成被认为是在晶格QCD中观察到的非摄动QCD的“阿贝尔优势”的物理起源。我已经指出了MA规范中非对角胶子相位的强随机性，这是由于对非对角胶子振幅的强抑制。我还在非对角线胶子相的随机变量近似中，解析地证明了弦张力或约束力的完美“阿贝尔优势”。通过对MA量规固定的数学分析，导出了MA量规中所定义物理量的SU（N φ φ D2c φ φ D2）量规不变性判据。我发现在MA规范中出现的qcd -单极子具有一种特殊的结构，其中心周围的非对角线胶子振幅很大，类似于Hooft-Polyakov单极子。我研究了胶球作为一个颜色通量环。我还估计了被确定为qcd -单极子（双希格斯粒子）的0 μ l ++ μ l -标量胶球的衰变率。我已经在MA规范中展示了多瞬子系统中的扩展单极子聚类。我还发现在多瞬子系统中，在1 fm左右的中间范围内产生的围力。我已经预测了在MA规范中，瞬子和qcd -单极子之间的局部相关性，根据非对角线胶子。