97-244 Bricmont J., Kupiainen A., Lefevere R.

Renormalization Group Pathologies and the Definition of Gibbs States (102K, LaTex) Apr 28, 97

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Abstract. We show that the so-called Renormalization Group pathologies in low temperature Ising models are due to the fact that the renormalized Hamiltonian is defined 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 Griffiths' singularities.

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