A nontrivial renormalization group fixed point for the Dyson-Baker hierarchical model

DOI10.1007/BF02101493zbMath0838.47051OpenAlexW2083109311MaRDI QIDQ1908831

Peter Wittwer, Hans Koch

Publication date: 7 March 1996

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02101493

zbMATH Keywords

Dyson-Baker hierarchical modelGallavotti's hierarchical modelnontrivial renormalization group (RG) fixed point

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Renormalization group methods applied to problems in quantum field theory (81T17) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (5)

A check of a \(D=4\) field-theoretical calculation using the high-temperature expansion for Dyson's hierarchical model ⋮ The critical two-point function for long-range percolation on the hierarchical lattice ⋮ Osiris wavelets in three dimensions ⋮ A strong law of large numbers for iterated functions of independent random variables ⋮ Asymptotic behavior for iterated functions of random variables

Cites Work

• A non-Gaussian renormalization group fixed point for hierarchical scalar lattice field theories
• On the renormalization group transformation for scalar hierarchical models
• Existence of a phase-transition in a one-dimensional Ising ferromagnet
• Renormalization Group and Critical Phenomena. II. Phase-Space Cell Analysis of Critical Behavior
• Unnamed Item

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