Renormalization Group in Gauge Theories
Project/Area Number  08640367 
Research Category 
GrantinAid for Scientific Research (C)

Allocation Type  Singleyear Grants 
Section  一般 
Research Field 
素粒子・核・宇宙線

Research Institution  KYOTO UNIVERSITY 
Principal Investigator 
KUGO Taichi Kyoto Univ., Dept.of physics, Professor, 大学院・理学研究科, 教授 (00115833)

Project Period (FY) 
1996 – 1997

Project Status 
Completed(Fiscal Year 1997)

Budget Amount *help 
¥2,400,000 (Direct Cost : ¥2,400,000)
Fiscal Year 1997 : ¥1,000,000 (Direct Cost : ¥1,000,000)
Fiscal Year 1996 : ¥1,400,000 (Direct Cost : ¥1,400,000)

Keywords  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 
Research Abstract 
The research results of our project for two academic years in 19961997 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_fN_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_fN_c) gauge symmetry and U(N_f) global symmetry with matter field belonging to the fundamental representation (N_fN_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_enu_<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 righthanded neutrinos which is consistent with all the data and also has several theoretically favorable feutures. 3.Unoriented OpenClosed String Field Theory : We constructed a string field theory for the mixed system of open and closed strings, for which even the lightcone 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 oneloop 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).

Report
(3results)
Research Output
(13results)