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Feynman diagrams as a completely integrable lattice statistical system

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dc.contributor.author Meirambay, A.
dc.contributor.author Yerzhanov, К.K.
dc.contributor.author Yerzhanova, Zh.O.
dc.date.accessioned 2023-08-14T11:33:23Z
dc.date.available 2023-08-14T11:33:23Z
dc.date.issued 2019
dc.identifier.issn 2616-6836
dc.identifier.uri http://rep.enu.kz/handle/enu/4802
dc.description.abstract We consider the application of the Yang-Baxter equation in multiloop calculations in quantum field theory. An important (from the point of view of the physical applications) problem in the analytical evaluations of massless multi-loop Feynman integrals is the representation of the D-dimensional integral. The analytical evaluations of the multi-loop Feynman integrals are usually based on such powerful methods as the integration by parts and star-triangle (uniqueness) relation methods. In this paper we investigated Feynman diagrams with massless scalar propagators are shown to be equivalent to some completely integrable lattice system. In this work we take the large order dimensional ( D = 8, D = 12 ) diagram and have proved some equations, obtained partition function of lattice. So we gеt some results which describe a lattice statistical system, using these methods for large order dimensional. ru
dc.language.iso en ru
dc.publisher L.N.Gumilyov Eurasian National University ru
dc.subject Feynman diagrams ru
dc.subject scalar massless propagator ru
dc.subject partition function ru
dc.subject lattice statistical system ru
dc.subject Yang-Baxter tringle relation ru
dc.subject vertex-weight function ru
dc.subject completely integrable system ru
dc.subject Zamolodchikov’s “fishing-net” model ru
dc.subject “triangle-net” ru
dc.subject “honey-comb” diagrams ru
dc.subject the boundary conditions ru
dc.subject hamiltonian of statistical system ru
dc.title Feynman diagrams as a completely integrable lattice statistical system ru
dc.type Article ru


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