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。我们成功地从Gluon和Ghost Field中构建了一个质量尺寸的复合算子，这既是BRST又是反BRST不变的。我们提出了质量尺寸二的真空凝结。这种质量尺寸的真空凝结物的存在意味着脱节肌会获得其质量。这是第一次对红外阿贝尔统治的理论解释，预计从QCD真空的双重超导体图片的角度来看，这使我们能够解释夸克限制。实际上，这种真空冷凝物的存在是由物理解释，gluon和Ghost Propagators中的操作员产品扩展，耦合的schwinger-dyson方程的超紫罗兰渐近溶液的算子的扩展，用于Gluon和Ghost opegators的渐近解决方案，以及数字模拟器的渐进式。在格子上2。为了在Yang-Mills理论中明确提取磁性单极的自由度，我们为Yang-Mills字段的非线性变化提供了新的观点，称为Cho-Faddeev-Niemi分解。这使人们能够以量规不变的方式定义磁性单极。我们已经展示了如何构建gluons的规格质量术语。我们指出，尼尔森 - 塞人的不稳定性用于Savvidy真空，通过某种类型的彩色磁性凝结来固化，这些磁性凝结起源于磁性单极构型，这些磁极构型可为OFF提供质量 - 杨米尔斯理论中的魔力。实际上，通过计算SU（2）Yang-Mills理论的一环水平上的有效电位来计算有效电位，显示出这种新型的磁凝结类型。3。此外，我们提出，质量维的量规真空凝结两个导致使用结soliton溶液的FADDEEV模型，这可能是Yangs理论的低能量有效理论。