# Renormalization of a hierarchical fermion model in two dimensions

Conference paper

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## Abstract

Fermion fields on a lattice are easier to renormalize then Boson fields because the former do not have an infinite range of possible values. This becomes particularly transparent in a hierarchical model since the interaction stays strictly local in renormalizing such a model. The model considered here is obtained by dividing a square lattice into blocks, blocks of blocks and so forth at each level or scale. The blocks at the ℓ-th level will contain 2^{2ℓ} lattice sites. The ‘kinetic part’ of the action is then given by \(\langle \overline \psi ,C^{ - 1} \psi \rangle\)where C is the hierarchical covariance.

## Keywords

Hierarchical Model Local Interaction Fermion Field Renormalize Theory Original Lattice
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## Copyright information

© Springer-Verlag 1986