Dynamical Symmetry Breaking and Unified Theory

动力学对称性破缺与统一理论

• 批准号: 07304029
• 负责人: KUGO Taichi
• 金额: $ 7.42万
• 依托单位: KYOTO UNIVERSITY
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (A)
• 财政年份: 1995
• 资助国家: 日本
• 起止时间: 1995 至 1997
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07304029/
• 关键词: renormalization group equation; gauged NJL model; standard model; unified theory; Supersymmetry; D-brane; B-meson; M theory; ニュートリノ; 動的ゲージ粒子; 正則化; 光円錐量子化; B中間子; supermembrane; gauged 南部-Jona-Lasinio模型; 漸近自由でないゲージ理論; カイラルフェルミオン; duality

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.

本课题1995-1997三个学年的部分研究成果如下： 1.动态对称破缺与大统一理论：K.Aoki提出了一种新的重整化群方法来分析规范NJL模型，并给出了超越Higashijima-Miransky改进的阶梯近似的近似方法。 Bando 研究了动态规范玻色子的可能性及其与标准模型和 GUT 理论的相关性。原田研究了场论光锥量子化中的各种问题。 H.Suzuki利用连续统理论中协变正则化的思想，提出了格子上手性费米子的规范协变公式。 Kugo 使用重正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。末广在一般维度上量化了扩展的切姆-西蒙斯理论。菅本研究了有关B介子衰变、电弱重子生成和中子电偶极矩的问题。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，从非交换时空开始给出了弦理论的非微扰定义。 Kazama 首次计算了具有有限质量的量子化 D 粒子的弹性散射振幅。国友构建了描述D-5膜基态的拓扑场论，并考虑了D-5膜第二次量子化的可能性。 Matsuo 给出了弦连接点 BPS 条件的简单推导，并检查了计算 D 膜 BPS 态质量公式的 U 对偶性。弥彦泽系统地计算了弦涡的有效作用。

项目成果

N.Kawamoto, et al.: "Quantization of gl (1,R) Generalized Chern-Simons Theory in 1+1 Dimensions" Mon.Phys.Lett.A12. 219-231 (1997)

N.Kawamoto 等人：“1 1 维中 gl (1,R) 广义 Chern-Simons 理论的量化”Mon.Phys.Lett.A12。

Y.Kazama: "Unified approach to Solvable models of dilaton gravity in two-dimensions based on symmetry" Phys.Rev.D. 51. 4265-4276 (1995)

Y.Kazama：“基于对称性的二维膨胀引力可解模型的统一方法”Phys.Rev.D。

T. Kugo: "Nontriviality of Gaube-Higgs-Yukawa System and Renormalizability of Gauged Nambu-Jona-Lasinio Model" Prog. Theor. Phys. Supplement. 123 (to appear). (1996)

T. Kugo：“Gaube-Higgs-Yukawa 系统的非平凡性和计量 Nambu-Jona-Lasinio 模型的可重整性”Prog。

T. Inagaki: "Phase Structure of four-Fermion Theories at Finite Temperature and Chemical Potential in Arbitrary Dimensions" Intern. J. Mod. Phys.A10. 2241-2268 (1995)

T. Inagaki：“有限温度下四费米子理论的相结构和任意维度的化学势”实习生。

K.Hikasa: "Soft-breaking Correction to hard supersymmetric relations : QCD Correction to squark decay." Zeitschrift fur Physik C. 69(in press). (1996)

K.Hikasa：“对硬超对称关系的软破坏校正：对夸克衰变的 QCD 校正。”