Triviality of hierarchical Ising model in four dimensions
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Publication:1348970
DOI10.1007/s002200100440zbMath1001.82044OpenAlexW2121272461MaRDI QIDQ1348970
Takashi Hara, Hiroshi Watanabe, Tetsuya Hattori
Publication date: 21 May 2002
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s002200100440
Renormalization group methods in equilibrium statistical mechanics (82B28) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
Related Items (8)
The critical two-point function for long-range percolation on the hierarchical lattice ⋮ Critical exponents for long-range \(\mathrm O(n)\) models below the upper critical dimension ⋮ Quantum layers over surfaces ruled outside a compact set ⋮ A hierarchical mean field model of interacting spins ⋮ Hierarchical spherical model from a geometric point of view ⋮ Survival of contact processes on the hierarchical group ⋮ Triviality of hierarchical models with small negative \(\phi^4\) coupling in four dimensions ⋮ Critical correlation functions for the 4-dimensional weakly self-avoiding walk and \(n\)-component \(|\varphi|^4\) model
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