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Kugler, Fabian B.; Delft, Jan von (2018): Multiloop Functional Renormalization Group That Sums Up All Parquet Diagrams. In: Physical Review Letters, Vol. 120, No. 5, 57403
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Abstract

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.