= Normalized blocking kernel
{title2=$\sum_{\sigma'}B_b(\sigma',\sigma)=1$}
A <normalized blocking kernel> assigns probabilities or delta constraints for <coarse-grained variables> given a microscopic configuration. Multiplying the microscopic Boltzmann weight by this kernel and summing over eliminated variables defines the blocked <statistical Hamiltonian>. Normalization preserves the <partition function> exactly when all generated operators and the field-independent constant are retained. A finite-coupling truncation may lose that exactness.
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