Low temperature properties for correlation functions in classical \(N\)-vector spin models

DOI10.1007/s002200050510zbMath0932.81024OpenAlexW2081236498MaRDI QIDQ1284173

Tadeusz Balaban, Michael O'Carroll

Publication date: 31 May 1999

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

Full work available at URL: https://doi.org/10.1007/s002200050510

zbMATH Keywords

correlation functionslow-temperature limitlattice modelGoldstone theorem

Mathematics Subject Classification ID

Quantum field theory on lattices (81T25) Symmetry breaking in quantum theory (81R40) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Applications of functional analysis in quantum physics (46N50)

Related Items (9)

Decimations for two-dimensional Ising and rotator models ⋮ Existence of phase transition for percolation using the Gaussian free field ⋮ Critical exponents for long-range \(\mathrm O(n)\) models below the upper critical dimension ⋮ The renormalization group according to Balaban. III: Convergence ⋮ Scaling limits and critical behaviour of the 4-dimensional \(n\)-component \(|\varphi|^4\) spin model ⋮ Gibbsianness versus non-Gibbsianness of time-evolved planar rotor models ⋮ Dislocation lines in three-dimensional solids at low temperature ⋮ THE RENORMALIZATION GROUP ACCORDING TO BALABAN, I. SMALL FIELDS ⋮ Critical correlation functions for the 4-dimensional weakly self-avoiding walk and \(n\)-component \(|\varphi|^4\) model

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