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Proposal of a novel type of vacuum condensates and quark confinement

新型真空凝聚体和夸克禁闭的提议

基本信息

批准号：
14540243
负责人：
KONDO Kei-ichi
金额：
$ 2.24万
依托单位：
Chiba University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2002
资助国家：
日本
起止时间：
2002 至 2005
项目状态：
已结题

项目摘要

1. We have succeeded to construct a composite operator of mass dimension two from the gluon and ghost field, which is both BRST and anti-BRST invariant. We have proposed a vacuum condensation of mass dimension two. The existence of such a vacuum condensate of mass dimension two implies that off-diagonal gluons acquire their mass. This has yielded for the first time a theoretical explanation for the infrared Abelian dominance which is expected to hold from the viewpoint of dual superconductor picture of QCD vacuum enabling us to explain quark confinement. In fact, the existence of such a vacuum condensate was supported from a physical interpretation, operator product expansion in the gluon and ghost proopagators, the ultra-violet asymptotic solution of the coupled Schwinger-Dyson equation for the gluon and ghost propagators, and numerical simulations on a lattice.2. To extract degrees of freedom for magnetic monopoles explicitly in Yang-Mills theory, we have given a new viewpoint for the non-linear change of variables for the Yang-Mills field called the Cho-Faddeev-Niemi decomposition. This enables one to define the magnetic monopole in the gauge-invariant way. We have shown how to construct a gauge-invariant mass term for gluons.We have pointed out that the Nielsen-Olesen instability for the Savvidy vacuum is cured by a certain type of color magnetic condensation originating from magnetic monopole configurations which provide the mass for off-diagonal gluons in Yang-Mills theory. In fact, such a novel type of magnetic condensation is shown to occur by calculating the effective potential in one-loop level for the SU(2) Yang-Mills theory.3. Moreover, we have suggested that the gauge-invariant vacuum condensation of mass dimension two leads to the Faddeev model with knot soliton solution, which could be a low-energy effective theory of Yang--Mills theory.

1.从胶子和鬼场出发，成功地构造了质量维为2的复合算符，它既是BRST不变量，又是反BRST不变量。我们提出了质量维2的真空凝聚。这种质量维为2的真空凝聚体的存在意味着非对角线胶子获得了它们的质量。这第一次给出了红外阿贝尔优势的理论解释，它有望从QCD真空的双超导体图像的角度来解释夸克禁闭。事实上，这种真空凝聚体的存在得到了物理解释、胶子和幽灵传播子中算符乘积的展开、胶子和幽灵传播子耦合Schwinger-Dyson方程的紫外线渐近解以及格子上的数值模拟的支持。为了在Yang-Mills理论中显式地提取磁单极子的自由度，我们对Yang-Mills场的变量的非线性变化提出了一种新的观点，称为Cho-Faddeev-Niemi分解。这使人们能够以规范不变的方式定义磁单极子。我们已经展示了如何构造胶子的规范不变质量项。我们已经指出，Savvidy真空的Nielsen-Olesen不稳定性是由某种类型的色磁凝聚治愈的，这种凝聚源于磁单极组态，为杨-Mills理论中的非对角线胶子提供了质量。实际上，通过计算SU(2)杨-米尔斯理论的单圈等效势，发现了这种新型的磁凝聚现象。此外，我们还指出，质量维2的规范不变真空凝聚导致了具有纽结孤子解的Faddeev模型，这可能是Yang-Mills理论的一种低能有效理论。