Analytic calculations on a lattice

晶格的解析计算

• 批准号: 535382747
• 负责人: Professor Dr. Stefan Weinzierl
• 金额: --
• 依托单位: Institut für Physik
• 依托单位国家: 德国
• 项目类别: Research Grants
• 资助国家: 德国
• 项目状态: 未结题
• 来源: https://gepris.dfg.de/gepris/projekt/535382747?language=en
• 关键词: Analytic; calculations; lattice

With this proposal we would like to compute correlation functions on small lattices in low dimensions analytically. We are in particular interested in Yang-Mills theory on a lattice. The correlation functions on the lattice will be computed with the method of differential equations, supplemented with techniques from twisted cohomology. We transfer established methods in the domain of perturbative Feynman integrals to the non-perturbative setting of lattice integrals.

利用这种方法，我们可以在低维的小格上解析地计算相关函数。我们对晶格上的杨-米尔斯理论特别感兴趣。晶格上的相关函数将用微分方程的方法计算，并辅以扭曲上同调的技术。我们将摄动费曼积分域中已建立的方法推广到格积分的非摄动集。