Analytic calculations on a lattice

通过这个提议，我们希望解析地计算低维小晶格上的相关函数。我们特别感兴趣的是杨米尔斯理论的晶格。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。我们转移到非微扰设置的晶格积分领域的微扰费曼积分的方法。

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.