On the absence of spontaneous symmetry breaking and of crystalline ordering in two-dimensional systems

1981/06/01 by Jürg Fröhlich, Charles Pfister · 114 citations
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #CPT symmetry #Classical mechanics #Complex Systems and Time Series Analysis #Complex system #Computer science #Geometry #Homogeneous space #Inverse #Lorentz covariance #Lorentz transformation #Mathematics #Physics #Quantum mechanics #Spontaneous symmetry breaking #Statistical Mechanics and Entropy #Statistical physics #Symmetry breaking #Theoretical and Computational Physics #Theoretical physics #Translation (biology)

paper · open access · doi:10.1007/bf01208901

published in Communications in Mathematical Physics 81(2), 277-298 (Springer Science and Business Media LLC)

crossref issued 1981/06/01 · crossref published 1981/06/01 · crossref published-print 1981/06/01 · openalex publication_date 1981/06/01 · crossref created 2005/02/25 · openalex created_date 2016/06/24 · crossref deposited 2019/05/02 · crossref indexed 2026/04/07 · openalex updated_date 2026/07/23

Citations

• Existence of Long-Range Order in One and Two Dimensions
• On the decay of correlations inSO(n)-symmetric ferromagnets

Cited by

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• Regularity properties and pathologies of position-space renormalization-group transformations: Scope and limitations of Gibbsian theory
• Methods of Contemporary Mathematical Statistical Physics
• Lower Bound on the Mean Square Displacement of Particles in the Hard Disk Model
• A Mermin–Wagner Theorem for Gibbs States on Lorentzian Triangulations
• Mermin–Wagner theorem [wikipedia]