Japan JSPS Program: Quantum Integrability and Strong-Weak Coupling Quality of the Affine Toda Field Theories

日本JSPS计划：仿射户田场论的量子可积性和强弱耦合性质

• 批准号: 9703595
• 负责人: ANDREW BORDNER
• 金额: $ 0.3万
• 依托单位: Fellowships
• 依托单位国家: 美国
• 项目类别: Fellowship Award
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-07-15 至 1998-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9703595&HistoricalAwards=false
• 关键词: Japan; JSPS; Program; Quantum; Integrability

Bordner 9703595 This award supports a 12 month Japan Society for the Promotion of Science (JSPS) Postdoctoral Fellowship for Dr. Andrew J. Bordner at the Yukawa Institute for Theoretical Physics, Kyoto, Japan. Dr. Bordner will work with Dr. Ryu Sasaki, professor, on a research project entitled, "Quantum Integrability and Strong-Weak Coupling Duality of the Affine- Toda Field Theories." The proposed research will examine the equivalence involved in a quantum field theory that displays characteristics of strong interactions between fundamental particles, yet, at the same time, indicates weak mutual interactions. This equivalence would be useful in understanding how to calculate physical quantities in a strongly coupled theory, such as that describing nuclear forces. The proposed research will examine a particular class of theories designated "Affine-Toda field", the rationale being that they are hypothesized to exhibit not only strong-weak coupling equivalence, but are also hypothesized to allow the calculation of all physical quantities without any initial approximation methods. In the past, physical quantities have been calculated only in theories with a weak coupling, and then only using approximation methods. This solvability has led to a postulated form for the S-matrix, a concept that describes the scattering of an arbitrary number of particles as a result of coupling. The research will provide a valuable test of how different quantum field theories are in fact different formulations of the same theory, a finding that may eventually provide a solution for how to predict properties of nucleons from a fundamental theory of quarks. ***

BORDNER 9703595该奖项支持日本促进科学促进学会（JSPS）12个月的博士后奖学金，为日本京都Yukawa理论物理研究所的Andrew J. Bordner博士提供。 Bordner博士将与教授Ryu Sasaki博士合作，题为“ Affine Toda Field Theories的量子整合性和强烈的耦合二元性”。 拟议的研究将研究量子场理论中涉及的等效性，该量子场理论显示基本颗粒之间强烈相互作用的特征，但同时表明相互作用较弱。 这种等效性将有助于理解如何计算强耦合理论（例如描述核力量的理论）中的物理量。 拟议的研究将检查指定为“兴起的抗粪场”的特定理论，其理由是它们被认为不仅表现出强烈的耦合等效性，而且还假设他们可以在没有任何初始近似方法的情况下计算所有物理量。 过去，仅在弱耦合弱的理论中计算了物理量，然后仅使用近似方法。 这种可溶性导致了S-Matrix的假定形式，该概念描述了由于耦合而导致的任意数量粒子的散射。 这项研究将对不同理论的不同量子场理论实际上是不同的表述提供了有价值的检验，该发现最终可能为如何从夸克基本理论中预测核子的特性提供解决方案。 ***