Block Renormalization Group in a Formalism with Lattice Wavelets: Correlation Function Formulas for Interacting Fermions

نویسندگان

  • Emmanuel Pereira
  • Aldo Procacci
چکیده

Searching for a general and technically simple multi-scale formalism to treat interacting fermions, we develop a (Wilson-Kadanoo) block renormalization group mechanism, which, due to the property of \orthogonality between scales", establishes a trivial link between the correlation functions and the eeective potential ow, leading to simple expressions for the generating and correlation functions. Everything is based on the existence of \special conngurations" (lattice wavelets) for multi-scale problems: using a simple linear change of variables relating the initial elds to these conngurations we establish the formalism. The algebraic formulas show a perfect parallel with those obtained for bosonic problems , considered in previous works.

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تاریخ انتشار 1997