The Origin of Mass and Particle Unified Model.

粒子物理学中最紧迫的问题之一是质量的起源。目前的研究项目旨在揭示基于复合希格斯模型的质量起源，或手性对称的动态对称破缺。本文的主要问题是在强耦合规范理论的基础上建立统一模型，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将是实现这一目标的起点。我们研究了降低该模型中顶夸克质量的原始预测的可能性，结果比实验结果大一些。基于规范四费米子理论（“量规nambujona - lasinio （NJL）模型”）的重整化论证，我们证明了在GUT框架下，截断可以取无穷大，从而降低顶夸克凝聚体的顶质量预测（“顶模GUT”）。近年来，人们对超对称强耦合规范理论的相位结构有了更多的了解。在这方面，我们研究了非超对称规范理论的相结构，特别是具有大量口味的QCD，它有望具有红外不动点。我们根据“保形相变”的新概念进行了研究，该概念是通过分析测量NJL模型的特殊相变而发展起来的。作为强耦合系统的一种非摄动方法，我们还研究了光锥量化：我们进一步发展了离散光锥量化。（DLCQ）由Maskawa-Yamawaki首先提出，在求解QCD时经常被讨论，最近也在m理论/超弦的矩阵模型中进行了研究。在此框架下，我们进一步发展了之前关于自发对称破缺的工作，并指出了与DLCQ相比，连续框架的一些困难。与本项目相关，我们于1996年11月13日至16日在名古屋组织了一个由文武所赞助的国际研讨会“强耦合规范理论的视角”，有115名参与者（42名来自海外）。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