Symmetry Breaking and Its Applications in Particle Physics

对称性破缺及其在粒子物理中的应用

• 批准号: 06640396
• 负责人: HIGASHIJIMA Kiyoshi
• 金额: $ 1.54万
• 依托单位: OSAKA UNIVERSITY
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1994
• 资助国家: 日本
• 起止时间: 1994 至 1996
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-06640396/
• 关键词: symmetry breaking; spontaneous breaking; chiral symmetry; 対称性の自発的破れ; ミュヴィンガー・ダイソン方程式; 共形対称性の自発的破れ; 超対称性の自発的破れ

Symmetry breaking in field theory is caused by some instability. Instability in one-particle problem triggers classical instability. In classically stable systems, symmetry sometimes breaks down by quantum instability. In these cases, instability does not show up unless one examines bound state spectrum. Relativistic bound states problems have various difficulties since we have to renormalize the theory in non-purturbative way. In asymptotic free field theory, however, we can overcome these difficulties. When the attractive force between massless quark and anti-quark is strong enough to make a bound state, the perturbative vacuum becomes unstable and quark acquires mass. We also investigated some phenomenological implications.

场论中的对称破缺是由某种不稳定性引起的。单粒子问题的不稳定性触发经典不稳定性。在经典稳定系统中，对称性有时会被量子不稳定性破坏。在这些情况下，不稳定性不会出现，除非我们检查束缚态谱。相对论束缚态问题由于必须对理论进行非扰动化而面临各种困难。然而，在渐近自由场论中，我们可以克服这些困难。当无质量夸克和反夸克之间的吸引力强到足以形成束缚态时，微扰真空变得不稳定，夸克获得质量。我们还研究了一些现象学的影响。

项目成果

T.Goto: "b→sll^^- in the minimal supergravity model" Physical Review. D55. 4273-4289 (1997)

T.Goto：“最小超重力模型中的 b→sll^^-”《物理评论》D55（1997）。

Kiyoshi HIGASHIJJIMA: "Chiral Symmetry Breaking in Improved Ladder Approximation" to appear in Proceedings of QCD95,Edited by H.Toki. (1996)

Kiyoshi HIGASHIJJIMA：“改进的阶梯近似中的手性对称性破缺”出现在 QCD95 论文集，由 H.Toki 编辑。

Masamichi Kojima: "Exact Solutions of Generalized Calogero-Sutherland Models - BC_N and C_N case" Nuclear Physics. B473. 455-465 (1996)

Masamichi Kojima：“广义 Calogero-Sutherland 模型的精确解 - BC_N 和 C_N 案例”核物理。

SP.de Alwis: "Thermodynamics of Quantum Fields in Black Hole Backgrund" Phys.Rev.D52. 3529-3542 (1995)

SP.de Alwis：“黑洞背景中量子场的热力学”Phys.Rev.D52。

E.Takasugi: "Double beta decay constraint on composite neutrino" Progress of Theoretical Physics. 98. 977-985 (1997)

E.Takasugi：“复合中微子的双β衰变约束”理论物理进展。