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The Physics of Large Extra Dimension

大维度物理学

基本信息

批准号：
12640275
负责人：
LIM C.s.
金额：
$ 1.6万
依托单位：
Kobe University
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

The main results obtained by this research project are listed below :1. Attempt to construct a realistic model based upon the Gauge-Higgs Unification scenario.The head investigator once proposed a scenario, in collaboration with Hatanaka and Inami, where the famous hierarchy problem of high energy theory is naturally solved by use of Gauge-Higgs Unification scheme, where gauge field and Higgs field are unified in a framework of higher dimensional gauge theory with extra dimension. In this research project, we attempted to construct a realistic model based upon the Gauge-Higgs Unification scenario, which should be some physics beyond the Standard Model. More concretely, we have proposed a SU(3) gauge model (Mod.Phys.Lett.A 17 (2002) 2249), as a possible minimal model to realize the scenario. It is interesting to note that in the Gauge-Higgs Unification scenario, gauge group should be extended from the ordinary SU(2)xU(1), thus inevitably leading a theory of "New Physics". We further developed the research, and discussed a few remaining important issues. Namely, we have found that the problem of no reduction of the rank of gauge group in the usage of Hosotani mechanism is solved by introducing matter fields belonging to the adjoint representation of the gauge group, etc.2. Field theories on the two dimensional sphere and the spontaneous breaking of rotational symmetry etc.Another investigator considered field theories with two dimensional sphere as its extra-dimension and with monopole configuration as a background field at the center of the sphere. It has been found that in these theories there appears a critical radius of the sphere, where symmetries associated with the sphere, such as rotational symmetry, start to break down spontaneously.

本研究取得的主要成果如下：1.尝试建立基于规范-希格斯统一方案的现实模型。首席研究员曾与Hatanaka和Inami合作提出了一种方案，其中著名的高能理论的层次问题通过使用规范-希格斯统一方案自然地解决，其中规范场和希格斯场统一在具有额外维度的高维规范理论框架中。在这个研究项目中，我们试图构建一个基于规范-希格斯统一场景的现实模型，这应该是标准模型之外的一些物理。更具体地说，我们提出了SU（3）规范模型（Mod.Phys.Lett.A17（2002）2249），作为实现该方案的可能最小模型。有趣的是，在规范-希格斯统一方案中，规范群应该是从普通的SU（2）xU（1）中扩展出来的，从而不可避免地引出了一个“新物理学”理论。我们进一步开展了研究，并讨论了一些剩余的重要问题。也就是说，我们发现，在使用细谷机制的规范群的秩不减少的问题是解决了引入属于伴随表示的规范群等的物质场。二维球上的场论和旋转对称性的自发破缺等.另一个研究者考虑了以二维球作为其额外维度，以球中心的双组态作为背景场的场论。人们发现，在这些理论中出现了一个临界半径的球，在那里与球相关的对称性，如旋转对称性，开始自发地打破。