Bricmont J., Kupiainen A., Lefevere R.
Renormalization Group Pathologies and the Definition of Gibbs States
(102K, LaTex)
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.