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Fermionic Functional Renormalization Group

2009
In this chapter we shall derive the fundamental FRG flow equations for one-band models of nonrelativistic fermions. Although these flow equations follow as a special case of the general flow equations derived in Chap. 7, it is still useful to write down these equations explicitly in order to identify the various terms in the vertex expansion with ...
Florian Schütz   +2 more
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Renormalization-group functions and spectral functions

Physical Review D, 1982
The interplay of the spectral representation and the renormalization group is investigated from a global nonperturbative point of view. A simple physical behavior is strongly indicated for quantum electrodynamics at high energies, with features resembling strong-interaction duality and critical phenomena.
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Gauge symmetry and the functional renormalization group

International Journal of Modern Physics A, 2017
In the functional renormalization group (FRG), the introduction of a momentum cutoff often breaks symmetry present in a theory. The most important example is the gauge symmetry. However a symmetry survives in the presence of a cutoff in a modified form. We apply our understanding to QED as the simplest case.
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