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Continuous Symmetry and Other Methods

  • Bernard Prum
  • Jean Claude Fort
Chapter
  • 141 Downloads
Part of the Mathematical Physics Studies book series (MPST, volume 11)

Abstract

In this chapter we have joined, §§1–3, a study of the case where the fiber Φ is equipped with a continuous symmetry — typically, Φ , is a circle or a sphere —, to a brief discussion of two other approaches among the many that have been created to treat the problem of phase transition, especially upon a lattice. The methods to be presented here, that of Onsager, §4, and the combinatorial method, §5, have played important roles in the historical developement of the discipline and remain useful

Keywords

Partition Function Symmetry Breaking Ising Model GIBBS Measure Spontaneous Magnetization 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 1991

Authors and Affiliations

  • Bernard Prum
    • 1
  • Jean Claude Fort
    • 1
  1. 1.Université Paris VParisFrance

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