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On the absence of spontaneous breakdown of continuous symmetry for equilibrium states in two dimensions

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Publication:1838238
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DOI10.1007/BF01011431zbMath0509.60098MaRDI QIDQ1838238

Abel Klein, David S. Shucker, Lawrence J. Landau

Publication date: 1981

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


zbMATH Keywords

symmetry breakingBogoliubov inequality


Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05) Quantum equilibrium statistical mechanics (general) (82B10)


Related Items

Twelve tales in mathematical physics: An expanded Heineman prize lecture ⋮ Upper bound on the decay of correlations in a general class of \(\mathrm{O}(N)\)-symmetric models ⋮ BOGOLIUBOV'S VISION: QUASIAVERAGES AND BROKEN SYMMETRY TO QUANTUM PROTECTORATE AND EMERGENCE ⋮ Quantum fluctuations in quantum lattice systems with continuous symmetry



Cites Work

  • On uniqueness of KmMS states of one-dimensional quantum lattice systems
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