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Journal of Statistical Physics

, Volume 26, Issue 3, pp 505–512 | Cite as

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

  • Abel Klein
  • Lawrence J. Landau
  • David S. Shucker
Articles

Abstract

Using the Bogoliubov inequality, we extend previously known results concerning the absence of continuous symmetry breakdown for equilibrium states of certain quantum and classical lattice, and continuum systems in two space dimensions.

Key words

Bogoliubov inequality symmetry breaking 

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Copyright information

© Plenum Publishing Corporation 1981

Authors and Affiliations

  • Abel Klein
    • 1
  • Lawrence J. Landau
    • 2
  • David S. Shucker
    • 3
  1. 1.Department of MathematicsUniversity of CaliforniaIrvineUSA
  2. 2.Mathematics Department, Bedford CollegeUniversity of LondonLondonEngland
  3. 3.Department of MathematicsUniversity of CaliforniaIrvineUSA

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