- 96-585 Pereira E., Procacci A.
- Block Renormalization Group in a Formalism with Lattice
Wavelets: Correlation Function Formulas for Interacting Fermions
Nov 22, 96
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Abstract. Searching for a general and technically simple multi-scale formalism to treat
interacting fermions, we develop a (Wilson-Kadanoff) block renormalization group
mechanism, which, due to the property of ``orthogonality between scales'',
establishes a trivial link between the correlation functions and the effective
potential flow, leading to simple expressions for the generating and correlation functions. Everything is based on the existence of ``special configurations''
(lattice wavelets) for multi-scale problems: using a simple linear change of
variables relating the initial fields to these configurations we establish the
formalism. The algebraic formulas show a perfect parallel with those obtained
for bosonic problems, considered in previous works.