The renormalization group transformation in the generalized fermionic hierarchical model

DOI10.4213/im9371eOpenAlexW4388657450MaRDI QIDQ6072020

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Publication date: 29 November 2023

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/im9371

zbMATH Keywords

renormalization groupprojective spacefermionic modelhierarchical lattice

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Renormalization group methods in equilibrium statistical mechanics (82B28) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Combinatorial structures in finite projective spaces (51E20) Fermionic systems in quantum theory (81V74)

Cites Work

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• New variant of the fermionic model on the hierarchical two-dimensional lattice
• On \(p\)-adic mathematical physics
• \(p\)-adic renormalization group solutions and the Euclidean renormalization group conjectures
• Zone structure of the renormalization group flow in a fermionic hierarchical model
• Existence of a phase-transition in a one-dimensional Ising ferromagnet

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