Combinatorics of quantum field theory

量子场论的组合学

• 批准号: CRC-2016-00150
• 负责人: Yeats, Karen
• 金额: $ 8.74万
• 依托单位: University of Waterloo
• 依托单位国家: 加拿大
• 项目类别: Canada Research Chairs
• 财政年份: 2018
• 资助国家: 加拿大
• 起止时间: 2018-01-01 至 2019-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=669297
• 关键词: Combinatorics; quantum; field; theory

This research program seeks to understand quantum field theory using a combinatorial *aesthetic and toolbox and to develop new combinatorial and physical tools that lead to *new insights. The program provides new approaches for understanding Feynman *integrals and how they are put together into series which calculate physical *observables. Consequently it has the potential to lead to significant advances in how *we understand the building blocks which make up our world. The work of the program *centers on two main foci: the graph theory of Feynman periods and the recursive *combinatorics of Dyson-Schwinger equations.

该研究计划旨在使用组合美学和工具箱来理解量子场论，并开发新的组合和物理工具，从而带来新的见解。该程序提供了新的方法来理解费曼积分，以及如何将它们组合成一系列计算物理观测量。 因此，它有可能导致我们在如何理解构成我们世界的基石方面取得重大进展。 该计划的工作集中在两个主要焦点：费曼周期的图论和戴森-施温格方程的递归组合。