Renormalization of a hierarchical fermion model in two dimensions

  • T. C. Dorlas
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 257)


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 22ℓ 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.


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

© Springer-Verlag 1986

Authors and Affiliations

  • T. C. Dorlas
    • 1
  1. 1.Institute for Theoretical PhysicsUniversity of GroningenNetherlands

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