Upper bound on the decay of correlations in a general class of \(\mathrm{O}(N)\)-symmetric models

DOI10.1007/S00220-014-2075-0zbMath1305.82015arXiv1309.2432OpenAlexW2061811960MaRDI QIDQ462890

Maxime Gagnebin, Yvan Velenik

Publication date: 22 October 2014

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

Full work available at URL: https://arxiv.org/abs/1309.2432

zbMATH Keywords

Gibbs measurespin-spin correlationdecayingspin-system

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (1)

Delocalization of two-dimensional random surfaces with hard-core constraints

Cites Work

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• 2D models of statistical physics with continuous symmetry: The case of singular interactions
• On the absence of spontaneous breakdown of continuous symmetry for equilibrium states in two dimensions
• Classical Fourier Analysis
• Random Walk: A Modern Introduction

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