Continuous Symmetry and Other Methods
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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
KeywordsPartition Function Symmetry Breaking Ising Model GIBBS Measure Spontaneous Magnetization
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