Lattice Systems with a Continuous Symmetry II . Decay of Correlations
نویسندگان
چکیده
We consider perturbations of a massless Gaussian lattice field on Z, d ̂ 3, which preserves the continuous symmetry of the Hamiltonian, e.g., It is known that for all T > 0 the correlation functions in this model do not decay exponentially. We derive a power law upper bound for all (truncated) correlation functions. Our method is based on a combination of the log concavity inequalities of Brascamp and Lieb, reflection positivity and the Fortuin, Kasteleyn and Ginibre (F.K.G.) inequalities.
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