Some applications of the Lee-Yang theorem

DOI10.1063/1.4749391zbMath1311.82010arXiv1205.6643OpenAlexW1992272638MaRDI QIDQ2872265

Jürg Fröhlich, Pierre-François Rodríguez

Publication date: 14 January 2014

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

Full work available at URL: https://arxiv.org/abs/1205.6643

zbMATH Keywords

external magnetic fieldLee-Yang theoremLee-Yang region

Mathematics Subject Classification ID

Model quantum field theories (81T10) Quantum field theory on lattices (81T25) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (10)

The strong Gauss–Lucas theorem and analyticity of correlation functions via the Lee–Yang theorem ⋮ Mass scaling of the near-critical 2D Ising model using random currents ⋮ Lee-Yang property and Gaussian multiplicative chaos ⋮ Probability Theory in Statistical Physics, Percolation, and Other Random Topics: The Work of C. Newman ⋮ On the mean-field equations for ferromagnetic spin systems ⋮ On cluster properties of classical ferromagnets in an external magnetic field ⋮ Exponential decay of transverse correlations for \(O(N)\) spin systems and related models ⋮ Decay of transverse correlations in quantum Heisenberg models ⋮ Some properties of correlations of quantum lattice systems in thermal equilibrium ⋮ Introduction to Special Issue: In Honor of Elliott Lieb's 80th birthday

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• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
• Statistical Theory of Equations of State and Phase Transitions. I. Theory of Condensation
• Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model

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