Renormalization Group in Gauge Theories

规范理论中的重正化群

基本信息

批准号：
08640367
负责人：
KUGO Taichi
金额：
$ 1.54万
依托单位：
KYOTO UNIVERSITY
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
1996
资助国家：
日本
起止时间：
1996 至 1997
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08640367/
关键词：
supersymmetric gauge theory duality nonlinear sigma wodel neutrino GUT string field theory BRS invariance anomaly 質量行列ゲージ対称性

项目摘要

The research results of our project for two academic years in 1996-1997 are as follows :1.Nonlinear Realization in Supersymmetric Theory : A general method for constructing nonlinear sigma models in supersymmetric theory was reviewed. We noted the fact that Grassmannian nonlinear U(N_f)/U(N_c)*U(N_f-N_c) model can be linearlized into two forms : one form has U(N_c)gauge symmetry and (N_f) global symmetry with matter field belonging to the fundamental representation (N_c, N_f), and the other has U(N_f-N_c) gauge symmetry and U(N_f) global symmetry with matter field belonging to the fundamental representation (N_f-N_c, N_f). We investigated the implication of this exact duality for proving the conjectured duality in N=1 supersymmetric gauge theories.2.Neutrino Mass Texture realizing Large Mixing : Recent SuperKamiokande report suggests a very large mixing between the second and third generation neutrinos nu_<mu> and nu_<gamma>, while the MSW solution for explaining the solar neutrino deficit suggests small nu_e-nu_<mu> mixing. We studied whether these data can be naturally understood consistently with the parallelism between quarks and leptons suggested by GUT theories like SO(10). As a result, we found a natural Majorana mass texture for the right-handed neutrinos which is consistent with all the data and also has several theoretically favorable feutures.3.Unoriented Open-Closed String Field Theory : We constructed a string field theory for the mixed system of open and closed strings, for which even the light-cone gauge formulation has not been given before. We presented the full action for this system and proved its BRS invariance at the tree level. We also analyzed the anomally at the one-loop level recently, and have clarified that the gauge invariance cannot hold unless the system is of unoriented strings and the gauge group is SO(2^<13>=8192).

本项目1996-1997两年的研究成果如下： 1.超对称理论中的非线性实现：综述了超对称理论中构造非线性sigma模型的一般方法。我们注意到格拉斯曼非线性 U(N_f)/U(N_c)*U(N_f-N_c) 模型可以线性化为两种形式：一种形式具有 U(N_c) 规范对称性和属于物质场的 (N_f) 全局对称性到基本表示 (N_c, N_f)，另一个具有 U(N_f-N_c) 规范对称性和 U(N_f) 全局与属于基本表示（N_f-N_c，N_f）的物质场对称。我们研究了这种精确对偶性的含义，以证明 N=1 超对称规范理论中的猜想对偶性。 2. 中微子质量纹理实现大混合：最近的 SuperKamiokande 报告表明第二代和第三代中微子 nu_<mu> 和nu_<gamma>，而用于解释太阳中微子赤字的 MSW 解决方案表明存在少量 nu_e-nu_<mu> 混合。我们研究了这些数据是否可以与 SO(10) 等 GUT 理论所提出的夸克和轻子之间的并行性一致地自然地理解。结果，我们发现了右手中微子的自然马约拉纳质量结构，它与所有数据一致，并且还具有一些理论上有利的特征。3.无向开闭弦场理论：我们构建了一个弦场理论：开弦和闭弦的混合系统，之前甚至没有给出光锥规范公式。我们展示了该系统的完整动作，并证明了其在树级别的 BRS 不变性。我们最近还分析了单循环级别的异常情况，并阐明了规范不变性不能成立，除非系统是无向弦且规范组为 SO(2^<13>=8192)。