Feynman diagrams as a completely integrable lattice statistical system
We consider the application of the Yang-Baxter equation in multiloop calculations inquantum ﬁeld theory. An important (from the point of view of the physical applications) problemin the analytical evaluations of massless multi-loop Feynman integrals is the representation of theD-dimensional integral. The analytical evaluations of the multi-loop Feynman integrals are usuallybased on such powerful methods as the integration by parts and star-triangle (uniqueness) relationmethods.In this paper we investigated Feynman diagrams with massless scalar propagators are shown tobe equivalent to some completely integrable lattice system. In this work we take the large orderdimensional ( D = 8, D = 12 ) diagram and have proved some equations, obtained partition functionof lattice. So we gеt some results which describe a lattice statistical system, using these methodsfor large order dimensional.