Multiloop Functional Renormalization Group That Sums Up All Parquet Diagrams

We present a multiloop flow equation for the four-point vertex in the functional renormalization group (FRG) framework. The multiloop flow consists of successive one-loop calculations and sums up all parquet diagrams to arbitrary order. This provides substantial improvement of FRG computations for t...

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Veröffentlicht in:Physical review letters 2018-02, Vol.120 (5), p.057403-057403, Article 057403
Hauptverfasser: Kugler, Fabian B, von Delft, Jan
Format: Artikel
Sprache:eng
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Zusammenfassung:We present a multiloop flow equation for the four-point vertex in the functional renormalization group (FRG) framework. The multiloop flow consists of successive one-loop calculations and sums up all parquet diagrams to arbitrary order. This provides substantial improvement of FRG computations for the four-point vertex and, consequently, the self-energy. Using the x-ray-edge singularity as an example, we show that solving the multiloop FRG flow is equivalent to solving the (first-order) parquet equations and illustrate this with numerical results.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.120.057403