Analytic calculations on a lattice

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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.