Mermina-Wagner theorem

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Mermina-Wagner's Theorem (Coleman's Theorem) - Quantum field theorem and statistical physics, which states that it is impossible to spontaneously break a continuous symmetry at finite (positive) temperature in a system of one or more dimensions. two with sufficiently short-range effects.

If such a spontaneous symmetry break occurred then the corresponding Goldstone boulders (in statistical physics we are talking about Goldestone's modalities), as non-mass, would have divergences in correlation functions. Bibliography

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