权益分类	功能权益	普通用户	{{item.name}}会员
{{category.name}}	{{benefitItem.name}}

Dynamical Gauge Bosons and Grand Unification

动力规范玻色子与大统一

基本信息

批准号：
09640375
负责人：
BANDOU Masako
金额：
$ 2.18万
依托单位：
Aichi University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
1997
资助国家：
日本
起止时间：
1997 至 1999
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09640375/
关键词：
Neutrino hierarchy massses Mass Mixing Extra dimension Dynamical gauge Infrared Fixed Point brane Yukawa coupling 質量混合角 Infrared Fixed Point bo brane Yukawa coupling neutrino Mass matrix Mixeng angle Unified Theory E_6 SO

项目摘要

(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

(1)最近有人提出，除了我们的4维之外，还存在着一些现有的物质场或规范场所处的额外维度。在这种情况下，我们世界的膜可能会因所谓的KALUZA-KLEIN模式的相互作用而波动。我们研究了这种膜涨落对普通场与KK模耦合的影响。我们还提出了KK模式的RGE效应解释了由于功率运行导致的汤川耦合的层次结构。(2)中微子混合的结构不同于夸克混合的结构。我们提出了一个提供扭曲家族结构的E(6)群的统一模型。这一事实解释了为什么轻子混合不同于夸克混合。我们还发现这样的家族结构产生了50（10）个有趣的关系。(3)在动态规范玻色子的情况下，运行规范耦合在新物理学开始的复合尺度以上爆炸。在这种情况下，低于这个尺度的理论成为渐近非自由规范理论（强耦合统一）。在强耦合统一中，这些规范耦合对汤川耦合的RGE效应是明显的。我们研究了扩展MSSM的强耦合统一如何预测右手中微子存在下的底τ比。(4)具有5个族的ESSM模型有额外的单重态中微子（无菌中微子）。我们提出了一种可能性，即这些无菌中微子解释了即使在SO(10) GUT中也存在大中微子混合的可能性。我们还计算了三族普通夸克和轻子的质量矩阵。(5)在SK结果的刺激下，我们研究了中微子质量织构来解释大中微子混合。我们提出，如果普通夸克和轻子质量矩阵在统一理论中相似，则需要右手马约拉纳中子质量织构的交叉织构来再现大混合。(6)在动态规范玻色子的框架下，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、底夸克和τ轻子的工具。我们还研究了格拉斯曼流形中的非线性σ模型，并给出了一个创建动态规范玻色子的例子。少