Dynamical Electroweak Symmetry Breaking

现代粒子理论的最大问题之一是理解希格斯玻色子的本质，希格斯玻色子被认为是万物质量的起源。本研究的目的是对Higgs玻色子作为一种复合粒子给出一个动力学解释，我们从两个方面研究了复合Higgs模型，主要是顶夸克凝聚的各个方面：1）基于微观理论的高能方法，2）基于宏观有效场论的低能方法，在前者中，我们最终证明了我们以前工作中提出的“规范Nambu-Jona-Lasinio模型的可重正化性”.这一事实被进一步用来修正顶夸克凝聚，使顶夸克凝聚的质量预言略低于原来的预言，与实验雅阁。我们还发现了规范强耦合Yukawa模型的新的相结构和非平凡性。我们证明了在任何圈阶上的隐局域对称性的低能定理，作为我们以前工作的推广，在具有隐局域对称性的非线性σ模型的一个圈上建立了有效场论公式，同时我们还发现了Nambu模型零模的一个特殊行为，最近在场论的非微扰解的背景下，光阵面量子化中的Goldstone玻色子引起了很大的兴趣。

One of the biggest problem of the modern particle theory is to understand the nature of the Higgs boson which is expected to be reponsible for the origin of mass of everything. The purpose of this research was to give a dynamical explanation of the Higgs boson as a composite particle.We studied various aspects of composite Higgs models, mainly the top quark condensate, from two sides :1) High energy approach based on the underlying microscopic theory,2) Low energy approach based on the macroscopic effective field theory written in terms of the composite fields.In the former approach, we gave a final proof of the "renormalizability of the gauged Nambu-Jona-Lasinio model" which was suggested by our previous works. This fact was further used to modify the top quark condensate so as to bring the top mass prediciton somewhat lower than the original prediciton in accord with the experiment. Also we found new phase structure and nontriviality of the gauged strongly-coupled Yukawa model.As to the latter approach, we proved lowenergy theorem of the hidden local symmetry at any loop order as an extension of our previous work to initiate the effective field theory formulation at one loop of the nonlinear sigma model having a hidden local symmetry.Also we found a peculiar behavior of the zero mode of the Nambu-Goldstone boson in the light-front quantization which recently attracted much interest in the context of nonperturbative solution of the field theories.