The Origin of Mass and Particle Unified Model.

粒子物理学中最迫切的问题之一是质量的起源。本研究项目旨在揭示基于复合希格斯模型的质量起源，即手征对称性的动力学对称性破缺。我们的主要任务是构建一个基于强耦合规范理论的统一模型，并研究一类具有非平凡相结构的新场论。我们很久以前提出的顶夸克凝聚体就是实现这一目的的起点。我们研究了在该模型中降低顶夸克质量的原始预测的可能性，其结果比实验结果略大。基于规范四费米子理论(规范的Nambu-Jona-Lasinio(NJL)模型)的重整化论证，我们证明了在GUT框架下，截止值可以取为无穷大，从而减少顶夸克凝聚体(顶模GUT)的顶质量预测。最近，关于st…相的许多知识已经被了解超对称强耦合规范理论的更多结构。在这方面，我们研究了非超对称规范理论的相结构，特别是具有大量香味的QCD，预计它有一个红外固定点。通过分析规范NJL模型的特殊相变，提出了“共形相变”的新概念，并研究了光锥量子化。作为强耦合系统的一种非微扰方法，我们进一步发展了离散光锥量子化。(DLCQ)由Maskawa-Yamwaki首先提出，并经常被讨论用于求解QCD，最近还研究了M-理论/超弦的矩阵模型。我们进一步发展了我们以前在这个框架下关于自发对称破缺的工作，并指出了连续框架相对于DLCQ的一些困难。针对本项目，我们于1996年11月13-16日在名古屋组织了一次由Monbusho赞助的“强耦合规范理论的视角”国际研讨会，有115人参加(42人来自海外)。较少

One of the most urgent problems in particle physics is the origin of mass. The present research project aimed at revealing the origin of mass based on the composite Higgs model, or the dynmamical symmetry breaking of the chiral symmetry. The main issue of us was to construct a unified model based on the strongly coupled gauge theories as well as to investigate a new class of field theories with nontrivial phase structure.The top quark condensate we proposed long ago would be the starting point for such a purpose. We studied a possibility to reduce the original prediction of the top quark mass in this model which turned out somewhat larger than the experimental result. Based on the renormalizability argument of the gauge four-fermion theory ("gauged Nambu-Jona-Lasinio (NJL) model) , we showed that in the framework of GUT the cutoff can be taken to infinity so as to reduce the top mass prediction of the top quark condensate ("Top-mode GUT").Recently much has been known about the phase st … More ructure of the supersymmetric strongly coupled gauge theories. In this connection we studied phase structure of non-supersymmetric gauge theories, particularly QCD with large number of flavors which is expected to have an infrared fixed point. This we studied in terms of a new concept of "conformal phase transition" which we developed through analysis of the peculiar phase transition of the gauged NJL model.As a nonperturbative approach to the strongly coupled system, we also studied light-cone quantization : we further developed the Discrete Light-Cone Quantization. (DLCQ) which was first introduced by Maskawa-Yamawaki and has been frequently discussed for solving QCD and recently studied also in the Matrix model for the M-theory/superstring. We further developed our previous work on the spontaneous symmetry breaking in this framework, and pointed out some difficulty with the continuous framework in contrast to DLCQ.In connection with the present project, we organized a Monbusho-sponsored international workshop "Perspectives of Strong Coupling Gauge Theories" at Nagoya during November 13-16, 1996 which accommodated 115 participants (42 from oversea). Less