Renormalization Group Pathologies and the Deenition of Gibbs States
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چکیده
We show that the so-called Renormalization Group pathologies in low temperature Ising models are due to the fact that the renormalized Hamiltonian is deened only almost everywhere (with respect to the renormalized Gibbs measures). We construct this renormalized Hamiltonian using a Renormalization Group method developed for random systems and we show that the pathologies are analogous to Griiths' singularities.
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تاریخ انتشار 1998