Dynamical Gauge Bosons and Grand Unification

(1)最近有人提出，除了我们现有的一些物质或规范场所处的4维之外，还存在着额外的维度。在这种情况下，我们世界的膜可能会因所谓的Kaluza-Klein模等场的相互作用而波动。我们研究了这种薄膜涨落对普通场与KK模耦合的影响。我们还提出，KK模的RGE效应解释了功率运转引起的Yukawa耦合的层次性。(2)中微子混合的结构不同于夸克的结构。我们提出了E(6)群的一个统一模型，它提供了一个扭曲的家族结构。这一事实解释了为什么轻子混合不同于夸克混合。我们还发现，这种族结构产生了S0(10)类感兴趣的关系。(3)在动力学规范玻色子的情况下，运行规范耦合在新物理开始的合成度标度上爆炸。在这种情况下，这个标度以下的理论是BEC…更多的是渐近非自由规范理论(强耦合统一)。在强耦合统一条件下，这些规范耦合对汤川耦合的RGE效应是明显的。我们研究了在右手中微子存在的情况下，扩展的MSSM模型的强耦合统一如何预测底部的tau比。(4)5族ESSM模型有附加的单态中微子(稀薄中微子)。我们提出了这样一种可能性：即使在SO(10)内部，这些稀薄的中微子也能解释大的中微子混合。计算了ESSM模型中三个族的普通夸克和轻子的质量矩阵。(5)受SK结果的启发，我们研究了中微子的质量结构来解释大中微子的混合。我们提出，如果统一理论中的普通夸克和轻子质量矩阵相似，则需要右手Majorana中子质量织构的交叉织构来再现大混合。(6)在动力学规范玻色子的框架下，该理论证明了渐近自由规范理论。我们研究了ANF理论中红外不动点的稳定性，并提出这种红外不动点结构是预测顶夸克、底夸克和轻子的工具。我们还研究了Grassmanian流形中的非线性Sigma模型，并给出了一个产生动力学规范玻色子的系统的例子。较少

(1) Recently there have been proposed that there exist the extra dimensions other than our 4 dimensions in which some of the existing matter or gauge fields live. In this scenario the brane of our world may fluctuate by the interactions of the such fields as so called KALUZA-KLEIN modes. We study how this brane fluctuation affects to the couplings of the ordinary fields to KK modes. Also we proposed that the effects of RGE from KK modes explain the hierarchy of Yukawa couplings because of power running.(2) The structure of neutrino mixing is different from that of quarks. We proposed a unified model of E(6) group which provides a twisted family structure. This fact explains why lepton mixing is different from quark mixings. Also we found that such family structure yields S0(10) like intersting relations.(3) In the case of dynamical gauge bosons the running gauge couplings blow up at the compositeness scale above which the new physics begins. In this case the theory below this scale bec … More omes asymptotically non-free gauge theory (strong coupling unification). In strong coupling unification the RGE effects of those gauge couplings to Yukawa couplings is appreciable. We study how the strong coupling unification of the extended MSSM predicts the bottom tau ratio under the existence of right handed neutrino.(4) The ESSM model with 5 families has additional singlet neutrinos (the sterile neutrinos). We propose the possibility that those sterile neutrinos explain large neutrino mixing even in the SO(10) GUT. Also we calculate mass matrices of the ordinary quarks and leptons of 3 families in ESSM model.(5) Stimulated by the SK results, we study the neutrino mass texture to explain the large neutrino mixing. We propose that the crossing texture of right handed Majorana neutron mass texture is needed to reproduce the large mixing if the ordinary quark and lepton mass matrix are similar in the unified theory.(6) In the framework of dynamical gauge bosons, the theory shows asymptotically free gauge theory. We study how stable the infrared fixed points in ANF theory and propose that this infrared fixed point structure is a tool to predict top, bottom quarks and tau leptons. Also we study the nonlinear sigma model in a Grassmanian manifold and show an example of the system in which dynamical gauge bosons are created. Less