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 该奖项为日本京都汤川理论物理研究所的 Andrew J. Bordner 博士提供为期 12 个月的日本学术振兴会 (JSPS) 博士后奖学金。 Bordner 博士将与 Ryu Sasaki 教授合作开展一项名为“仿射户田场论的量子可积性和强弱耦合对偶性”的研究项目。 拟议的研究将检验量子场论中涉及的等价性，该等价性显示基本粒子之间强相互作用的特征，但同时也表明弱相互作用。 这种等价有助于理解如何计算强耦合理论中的物理量，例如描述核力的理论。 拟议的研究将检验一类被称为“仿射-托达场”的特定理论，其基本原理是假设它们不仅表现出强弱耦合等价性，而且还假设允许在没有任何初始近似方法的情况下计算所有物理量。 过去，物理量的计算仅在弱耦合的理论中进行，而且仅采用近似方法。 这种可解性导致了 S 矩阵的假定形式，该概念描述了由于耦合而导致的任意数量粒子的散射。 这项研究将为不同的量子场论实际上是同一理论的不同表述提供一个有价值的测试，这一发现最终可能为如何从夸克的基本理论预测核子的性质提供解决方案。 ***