Reference results for the momentum space functional renormalization group

Abstract The functional renormalization group (FRG), an established computational method for quantum many-body phenomena, has been subject to a diversification in topical applications, analytic approximations and numerical implementations. Despite significant efforts accomplish coherent standard through benchmarks the reproduction of previous results, no systematic comprehensive comparison provided until now. While this not prevented publication relevant scientific results we argue that mutual agreement across realizations will strengthen confidence method. To end, report explicit implementational details data reproduced thrice independently up machine accuracy. substantiate reproducibility our calculations, scrutinize pillar FRG reported literature, discuss calculations these reference systems. We mean entice other groups reproduce establish set benchmark thus propagating joint effort community engage shared knowledge repository as implementations Graphical abstract