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Defining the correlation length by the φth moment of the magnetization-magnetization correlation, we give a simple proof of the inequality φν(φ)>2Δ₄-γ(φ>d) for the ferromagnetic Ising model in d dimensions. We briefly discuss the relevance of this inequality for the constructive φd⁴ approach.
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Robert Schrader (1976) studied this question.
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