Dynamical Symmetry Breaking and Unified Theory

本项目1995-1997年三个学年的部分研究成果如下：1.动力学对称性破缺和大统一理论：青木发展了一种新的重整化群方法来分析规范的NJL模型，并给出了一种超越Higashijima-Miransky改进的梯形近似的近似方法。班多研究了动力学规范玻色子的可能性及其与标准模型和GUT理论的关联。原田研究了场论中光锥量子化的各种问题。H.Suzuki利用连续介质理论中的协变正则化思想，提出了晶格上手征费米子的规范协变形式。库戈利用重整化群方程阐明了规范-希格斯-汤川系统变得非平凡的条件。Nakano回顾了基于反常U(1)规范对称性的动力学超对称破缺。Suehiro在一般维度上量化了扩展的Cherm-Simons理论。杉本研究了B介子衰变、弱电重生和中子电偶极矩问题。2.超对称规范理论和弦理论中的对偶性和非微扰动力学：M.Kato提出了一个雄心勃勃的理论，从非对易时空出发，给出了弦理论的非微扰定义。Kazama首次计算了有限质量量子化D粒子的弹性散射振幅。库尼托莫建立了描述D-5膜基态的拓扑场论，并考虑了D-5膜二次量子化的可能性。Matsuo给出了弦结BPS条件的简单推导，并考察了计算D-膜BPS态质量公式的U-对偶性。Yahikozawa系统地计算了细线涡的有效作用。

A part of research results of our project for three academic years in 1995-1997 are as follows :1.Dynamical Symmetry Breaking and Grand Unified Theories : K.Aoki developed a new renormalization group method for analyzing gauged NJL model and gave an approximation method going beyond the Higashijima-Miransky improved ladder approximation. Bando investigated the possibility of dynamical gauge bosons and its relevance to the Standard Model and GUT theories. Harada studied various problems in the light-cone quantization of field theories. H.Suzuki proposed a gauge-covariant formulation of chiral fermion on the lattice which uses the idea of covariant regularization in continuum theory. Kugo clarified the conditions under which the gauge-Higgs-Yukawa system becomes nontrivial, using the renormalization group equation. Nakano reviewed the dynamical supersymmetry breaking based on anomalous U (1) gauge symmetry. Suehiro quantized the extended Cherm-Simons theories in general dimensions. Sugamoto studied problems concerning B-meson decays, electroweak baryogenesis and neutron electric dipole moment.2.Duality and Non-Perturbative Dynamics in Supersymmetric Gauge Theories and String Theories : M.Kato proposed an ambitious theory which gives a non-perturbative definition of the string theory starting with non-commutative space-time. Kazama calculated for the first time the elastic scattering amplitude of quantized D-particles with a finite mass. Kunitomo constructed a topological field theory which describes the ground state of D-5 brane and considered the possibility of the second quantization of D-5 brane. Matsuo gave a simple derivation of the BPS condition for string junctions and examined the U-duality calculating the mass formula for the D-brane BPS states. Yahikozawa calculated systematically the effective action for the stringy vortices.