Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-07-05
Phys.Rev. D68 (2003) 025020
Physics
High Energy Physics
High Energy Physics - Phenomenology
New version to match the one published in PRD. New title (former title: Solving Mean Field Ambiguity by Flow Equations), added
Scientific paper
10.1103/PhysRevD.68.025020
We compare different methods used for non-perturbative calculations in strongly interacting fermionic systems. Mean field theory often shows a basic ambiguity related to the possibility to perform Fierz transformations. The results may then depend strongly on an unphysical parameter which reflects the choice of the mean field, thus limiting the reliability. This ambiguity is absent for Schwinger-Dyson equations or fermionic renormalization group equations. Also renormalization group equations in a partially bosonized setting can overcome the Fierz ambiguity if the truncation is chosen appropriately. This is reassuring since the partially bosonized renormalization group approach constitutes a very promising basis for the explicit treatment of condensates and spontaneous symmetry breaking even for situations where the bosonic correlation length is large.
Jaeckel Joerg
Wetterich Christof
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