A low temperature expansion for classical \(N\)-vector models. I: A renormalization group flow

DOI10.1007/BF02099355zbMath0811.60100MaRDI QIDQ1345163

Tadeusz Balaban

Publication date: 2 March 1995

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

zbMATH Keywords

renormalization group approachlow temperature lattice classical spin models

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Quantum field theory on lattices (81T25) Renormalization group methods applied to problems in quantum field theory (81T17) 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

THE CONTINUOUS SPIN RANDOM FIELD MODEL: FERROMAGNETIC ORDERING IN d≥3 ⋮ Continuous symmetry breaking along the Nishimori line ⋮ A low temperature expansion for classical \(N\)-vector models. II: Renormalization group equations ⋮ The broken supersymmetry phase of a self-avoiding random walk ⋮ The variational problems for classical \(N\)-vector models ⋮ Complex bosonic many-body models: overview of the small field parabolic flow ⋮ The renormalization group according to Balaban. III: Convergence ⋮ Nematic first order phase transition for liquid crystals in the van der Waals–Kac limit ⋮ Lectures on the Spin and Loop O(n) Models ⋮ Localization expansions. I: Functions of the ``background configurations ⋮ Renormalization theory of a two dimensional Bose gas: quantum critical point and quasi-condensed state ⋮ Renormalizing the renormalization group pathologies ⋮ The Renormalization Group and Self-avoiding Walk ⋮ THE RENORMALIZATION GROUP ACCORDING TO BALABAN, I. SMALL FIELDS ⋮ Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet

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• The large-scale limit of Dyson's hierarchical vector-valued model at low temperatures. The marginal case \(c=\sqrt{2}\)