Math 2.0

Statistical mechanics, structure of matter Renormalization group in statistical mechanics Concept

Block spin transformation

Summary

A block spin transformation is a coarse-graining step for a lattice model of spins. It groups the spins into blocks of side bb and replaces each block by one new spin, for example by majority vote. The new spins live on a coarser lattice, and their law defines a new effective Hamiltonian. Repeating this step is the prototype of a real-space renormalization group transformation, introduced by Leo Kadanoff.

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Further reading

  1. Web https://en.wikipedia.org/wiki/Renormalization_group
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MSC82B28, 82B20
SpecializesRenormalization group
Changed3 November 2026

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