New results for the correlation functions of the Ising model and the transverse Ising chain

DOI10.1007/s10955-009-9758-5zbMath1178.82048arXiv0901.1931OpenAlexW2043561406MaRDI QIDQ2390971

Helen Au-Yang, Jacques H. H. Perk

Publication date: 10 August 2009

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.1931

zbMATH Keywords

Ising modelcorrelation functionssusceptibilitynumerical algorithmslong time asymptotictransverse Ising chain

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Related Items

2D Ising model: correlation functions at criticality via Riemann-type boundary value problems ⋮ Integral formulae of the canonical correlation functions for the one dimensional transverse Ising model ⋮ Finite-temperature dynamical correlations in massive integrable quantum field theories ⋮ Form factor approach to dynamical correlation functions in critical models ⋮ On the thermodynamic limit of form factor expansions of dynamical correlation functions in the massless regime of the XXZ spin 1/2 chain ⋮ Long-distance and large-time asymptotic behaviour of dynamic correlation functions in the massless regime of the XXZ spin-1/2 chain ⋮ Leading corrections to the scaling function on the diagonal for the two-dimensional Ising model ⋮ Emptiness formation probability and Painlevé V equation in the XY spin chain ⋮ Ballistic propagation of a local impact in the one-dimensional XY model ⋮ On general-n coefficients in series expansions for row spin–spin correlation functions in the two-dimensional Ising model

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