Low temperature properties of the hierarchical classical vector model

DOI10.1007/BF02102038zbMath0729.60107MaRDI QIDQ806215

Michael O'Carroll, Ricardo S. Schor

Publication date: 1991

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

zbMATH Keywords

thermodynamic limitlow temperature propertiesrenormalization group methodsnon-canonical Gaussian fixed point

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (5)

A low temperature expansion for classical \(N\)-vector models. I: A renormalization group flow ⋮ A classical large N hierarchical vector model in three dimensions: A nonzero fixed point and canonical decay of correlation functions ⋮ A representation for the generating and correlation functions in the block field renormalization group formalism and asymptotic freedom ⋮ Lattice and continuum wavelets and the block renormalization group ⋮ On the critical behaviour of Dyson's quantum hierarchical models

Cites Work

• Unnamed Item
• Large field renormalization. II: Localization, exponentiation, and bounds for the \({\mathbb{R}}\) operation
• Renormalization group approach to lattice gauge field theories. I: Generation of effective actions in a small field approximation and a coupling constant renormalization in four dimensions

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