Global renormalization group flow and thermodynamic limit for the hierarchical fermionic model

DOI10.1007/BF02071371zbMath0979.81064OpenAlexW2060781816MaRDI QIDQ1292022

K. Appert

Publication date: 23 September 1999

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02071371

zbMATH Keywords

thermodynamic limitcoupling constantsrenormalization grouprational mapDyson modelhierarchical fermionic model

Mathematics Subject Classification ID

Renormalization group methods applied to problems in quantum field theory (81T17) Renormalization group methods in equilibrium statistical mechanics (82B28) Applications of functional analysis in quantum physics (46N50) Applications of functional analysis in statistical physics (46N55)

Related Items (5)

Renormalization group in a fermionic hierarchical model in projective coordinates ⋮ An algorithm for studying the renormalization group dynamics in the projective space ⋮ RG-invariant curves in the fermionic hierarchical model ⋮ Critical phenomena in the fermionic hierarchical model ⋮ Continuum limit in the fermionic hierarchical model

Cites Work

• A renormalizable field theory: The massive Gross-Neveu model in two dimensions
• Renormalization group analysis of a simple hierarchical fermion model
• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• Fixed points of renormalization group for the hierarchical fermionic model

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