Topological Aspects of Quantum Field Theory.

量子场论的拓扑方面。

• 批准号: 09640344
• 负责人: KITAKADO Shinsaku
• 金额: $ 0.7万
• 依托单位: Nagoya University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1997
• 资助国家: 日本
• 起止时间: 1997 至 1998
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09640344/
• 关键词: Topology; Duality; Negative Dimensional Groups; Supersymmetry; Soliton; Skyrme Model; Zero Mode; ゲージ構造; 双対性; 超対象線; ソリトン解; スカ-ム模型; D-brane

The followings are the research papers completed during the years 1997-1998 under the research project 'Topological Aspects of Quantum Field Theory'.1.NEGATIVE DIMENSIONAL GROUP EXTRAPOLATION AND DUALITY IN N=1 SUPERSYM-METRIC GAUGE THEORIES.in this paper we have applied the idea of 'negative dimensional groups' in the studies of 'duality' . We have established an interesting relation between the dualities in N=1 Supersymmetric SO(2N) and Sp(2N) Gauge Theories.2.INDUCED GAUGE STRUCTURE FOR THE ZERO MODES OF TWO DIMENSIONAL SOLITONS.In this paper we have calculated the induced gauge structure in 1+1 dimensional sigma model, noticing the fact that the zero mode of the soliton solution corres ponds to the quantum mechanics on the topologically nontrivial manifold.3.QUANTUM MECHANICS ON 3(N) AND MERON SOLUTION.Quantum Mechanics on the 3 dimensional sphere has been investigated and the induced gauge structure has been found to be that of 'meron'.4.INEQUIVALENT QUANTIZATION IN THE SKYRME MODEL.Inequivalent quantizations of the 'Skyrmion' in 3+1 dimensional sigma model have been found to exist andto give different physical predictions.

以下是1997-1998年在“量子场论的拓扑方面”研究项目下完成的研究论文。1.负维群外推和N=1超对称规范规范理论中的对偶性。在本文中我们应用了“二元性”研究中的“负维度群”的概念。我们在N=1超对称SO(2N)和Sp(2N)规范理论中的对偶性之间建立了有趣的关系。2.二维孤子零模的诱导规范结构。在本文中我们计算了诱导规范结构在 1+1 维 sigma 模型中，注意到孤子解的零模式在拓扑上对应于量子力学非平凡流形。3. 3(N) 和 MERON 解的量子力学。研究了 3 维球体上的量子力学，发现诱导规范结构是“meron”。4.Skyrme 模型中的不等价量子化.3+1 维 sigma 模型中“Skyrmion”的不等量化已被发现存在并给出不同的物理预测。

项目成果

H.Ikemori, S.Kitakado, H.Nakatani, H.Otrn, T.sato: "Ouantum Mechauics on S^n and Meron Solution" Modern Phyrics Letters. A13. 15-22 (1998)

H.Ikemori、S.Kitakado、H.Nakatani、H.Otrn、T.sato：“Ouantum Mechauics on S^n 和 Meron Solution”现代物理学快报。

Nobuhito Maru, Shinsaku Kitakado: "Nagative Dimensional Group Extrapolation and Duality in N=1 Supersymemtric Gaguge Theories." Mod.Phys.Lett.A12. 691-696 (1997)

Nobuhito Maru、Shinsaku Kitakado：“N=1 超对称规范理论中的负维群外推和对偶性。”

Hitoshi Ikemori, Shisaku Kitakado, Hajime Nakatani, Hideharu Otsu, Toshiro Sato: "Quantum Mechanics on S(N) and Meron Solution." Mod.Phys.Lett.A13. 15-22 (1998)

Hitoshi Ikemori、Shisaku Kitakado、Hajime Nakatani、Hideharu Otsu、Toshiro Sato：“S(N) 和 Meron 解的量子力学”。

N.Maru, S.Kitakado: "Negative Dimensional Griup Extyapolation and Dualities in N=1 Supersymmetric Gauge Theories" Modern Phyrics Letters. A12. 691-696 (1997)

N.Maru、S.Kitakado：“N=1 超对称规范理论中的负维群外推和对偶性”现代物理快报。

Hitoshi IKEMORI et al.: "Quantum Mechanics on S(N) and Meron Solution." Mod.Phys.Lett.A13. 15-22 (1998)

Hitoshi IKEMORI 等人：“S(N) 和 Meron 解的量子力学”。