Abstract
Having in mind the development of a technical tool to treat fermionic systems, we propose a Kadanoff-Wilson block renormalization transformation employing unusual averages (an inevitable artifact due to the specificity of lattice fermions and to the desired transformation properties). The free propagator is decomposed into operators associated to different momentum scales and with orthogonal relations, and the effective actions generated from the Dirac operator by the transformations present uniform exponential decay. We argue to show the usefulness of the formalism to study correlation functions of interacting fermions.
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Pereira, E. Orthogonality between scales in a renormalization group for fermions. J Stat Phys 78, 1067–1082 (1995). https://doi.org/10.1007/BF02183702
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DOI: https://doi.org/10.1007/BF02183702