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Topology and Color Confinement in Dual Higgs Theory of Quantum Chromodynamics

量子色动力学双希格斯理论中的拓扑和颜色限制

基本信息

批准号：
12640274
负责人：
SUGANUMA Hideo
金额：
$ 2.3万
依托单位：
Tokyo Institute of Technology
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2000
资助国家：
日本
起止时间：
2000 至 2002
项目状态：
已结题

项目摘要

Based on quantum Chromodynamics (QCD), the fundamental theory of the strong interaction, we study various nonperturbative phenomena such as color confinement in the low-energy region. We perform the following first studies using lattice QCD, which is the first-principle calculation.1. In the maximally abelian (MA) gauge, the off-diagonal gluon component acquires a large effective mass of about 1GeV, which leads to infrared abelianization of QCD.2. In the MA gauge, dual gluons become massive and the dual Meissner effect occurs.3. Then, in the MA gauge, infrared QCD reduces the dual Higgs theory, and quark confinement is physically interpreted to be realized by the dual Higgs mechanism.4. Using lattice QCD, we perform the detailed and accurate analysis for the three-quark (3Q) potential, which is directly responsible to the baryon properties. The 3Q potential is expressed by the sum of the two-body Coulomb potential and the Y-type linear potential. This strongly indicates the Y-type flux-tube formation in the baryon such, as the nucleon.5. We study the gluonic excitation in the 3Q system, and find that its energy is about 1GeV. This large value of the gluonic-excitation energy physically means the absence of the gluonic mode in the low-lying excitations of baryons, and is expected to leads to the success of the simple quark model.6. The scalar glueball is found to be largely changes its properties near the critical temperature of the deconfinement chase transition at finite temperature.7. We study the quark-gluon mixed condensate both at zero and at finite temperatures, and find a strong correlation between quarks and gluons in the nonperturbative QCD vacuum.8. The flavor-singlet baryon is found to have a large mass of about 1.7GeV, and hence it cannot be identified as Λ(1405).

基于强相互作用的基本理论--量子色动力学，我们研究了低能区的色禁闭等各种非微扰现象。我们使用格点QCD进行了以下初步研究，这是第一原理计算。在最大阿贝尔（MA）规范中，非对角胶子分量获得约1GeV的大有效质量，这导致QCD的红外阿贝尔化。在MA规范中，对偶胶子变得有质量，出现对偶迈斯纳效应.然后，在MA规范下，红外QCD约化了对偶Higgs理论，物理上解释了夸克禁闭是通过对偶Higgs机制实现的.利用格点QCD，我们对直接影响重子性质的三夸克势进行了详细而精确的分析。3Q势由两体库仑势和Y型线性势之和表示。这有力地表明了在重子（如核子）中Y型通量管的形成。我们研究了3Q系统中的胶子激发，发现其能量约为1GeV。这种较大的胶子激发能在物理上意味着重子的低激发态中不存在胶子模，并有望导致简单夸克模型的成功。6.发现在有限温度下，标量胶球在临界温度附近的性质发生了很大的变化.我们研究了零温度和有限温度下的夸克-胶子混合凝聚，发现在非微扰QCD真空中夸克和胶子之间存在强关联。味单重态重子的质量很大，约为1.7GeV，因此不能将其确定为Λ（1405）。