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Correlation inequalities and contour estimates

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Publication:1838239
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DOI10.1007/BF01010936zbMath0509.60100MaRDI QIDQ1838239

Jean Bricmont, Jean-Raymond Fontaine

Publication date: 1981

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


zbMATH Keywords

phase transitionclassical spin systemsPeierls' argument


Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Quantum equilibrium statistical mechanics (general) (82B10)


Related Items

On the \(xy\) model and its generalizations, Decimations for two-dimensional Ising and rotator models, Gaussian fluctuations for the classical XY model, Rarity of extremal edges in random surfaces and other theoretical applications of cluster algorithms, Dual formulations of non-abelian spin models: local representation and low-temperature asymptotics, Phase structure of two-dimensional spin models and percolation, Quantitative bounds on vortex fluctuations in 2d$2d$ Coulomb gas and maximum of the integer‐valued Gaussian free field, Infrared bounds and the Peierls argument in two dimensions, Convergence of \(\text{U}(1)_ 3\) lattice gauge theory to its continuum limit



Cites Work

  • Phase transitions for \(\phi_2^4\) quantum fields
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