Topological Solitons in Low-energy Effective Lagrangians

低能有效拉格朗日中的拓扑孤子

基本信息

批准号：
61540191
负责人：
EZAWA Zyun F.
金额：
$ 0.9万
依托单位：
TOHOKU UNIVERSITY
依托单位国家：
日本
项目类别：
Grant-in-Aid for General Scientific Research (C)
财政年份：
1986
资助国家：
日本
起止时间：
1986 至 1987
项目状态：
已结题

项目摘要

We have made researches on the following two subjects.1. Topological Solitons in QCDBaryons can be considered as topological solitons (Skyrmions) in the system of mesons. The simple Skyrme model accounts for properties of nucleons with 30 % of accuracy. The first project was to improve numerical agreement by including vector mesons into the system. The modified model, which is a Weinberg-type chiral model, has become considerably complicated since it involves several new functions to bedetermined. However, the best fit we obtained was not better than 25% of accuracy. Our next project was to study quasi-stable solitons, which the Weinberg-type chiral model contains, decaying mainly into -mesons. We predict this to be the -meson recently discovered because it decays mainly in -mesons. We made numerical studies of a quasi-stable soliton to determine its mass and life-time. We have also tried to give proper quantum numbers to the quasi-stable solitons, without success, because isospin and spin of the topological soliton cannot be assigned independently to the Skyrmions.2. Topological Solitons in String TheoriesIt is believed that the ultimate theory of the elementary particles is the string theory. It would be exciting if all the elementary particles can be derived from the 26-dimensional bosonic sring. As a first project towards this goal we have shown that the 10-dimensional superstring emerges from the 26-dimensional bosonic string, where the space-time spinors are topological solitons. In our work we have explicitly constructed an OSp(9,1/2)xOSp(3,3/6) supermultiplet as topological solitons in the 26-dimensional bosonic string. Here, the OSp(9,1/2) supermultiplet describes precisely the 10-dimensional superstring. We have also proved that the OSp(3,3/6) supermultiplet is decoupled consistently by a mechanism similar to the no-go theorem in the covariant string theory.

我们已经对以下两个主题进行了研究1。 QCDBARYONS中的拓扑孤子可以被视为介子系统中的拓扑孤子（Skyyrmions）。简单的Skyrme模型是核子的特性，其精度为30％。第一个项目是通过将向量介子包括到系统中来提高数值一致性。修改后的模型是一种韦恩伯格型手性模型，由于它涉及几个新功能的底层功能，因此变得非常复杂。但是，我们获得的最佳拟合度不超过准确性的25％。我们的下一个项目是研究金伯格型手性模型所包含的准稳定孤子，主要腐烂成-Mesons。我们预测这是最近发现的-Meson，因为它主要腐烂在-Meson中。我们对准稳定的孤子进行了数值研究，以确定其质量和终生。我们还试图为准稳定的孤子提供适当的量子数，而没有成功，因为不能独立地分配拓扑孤子的同胞和旋转。2。弦理论中的拓扑孤子被认为基本粒子的最终理论是弦理论。如果所有基本粒子都可以从26维骨sring得出，那将是令人兴奋的。作为实现这一目标的第一个项目，我们表明10维超弦是从26维的骨弦中出现的，那里的时空旋转器是拓扑孤子。在我们的工作中，我们已经明确构建了26维玻色弦中的拓扑孤子（9,1/2）XOSP（3,3/6）Supermultiplet。在这里，OSP（9,1/2）超级人物精确地描述了10维超弦。我们还证明，OSP（3,3/6）超级人通过与协方差弦理论中类似的无关定理的机制始终如一地解耦。