Reference results for the momentum space functional renormalization group

The European Physical Journal B, vol. 95

Abstract

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

Authors 3

1. Jacob Beyer Aachen Institute for Theoretical Solid State Physics

   RWTH Aachen University · Jülich Aachen Research Alliance · The University of Melbourne

   Affiliation as printed

   Institute for Theoretical Solid State Physics, RWTH Aachen University, 52062, Aachen, Germany

   JARA Fundamentals of Future Information Technology, 52062, Aachen, Germany

   School of Physics, University of Melbourne, Parkville, VIC, 3010, Australia

2. Jonas B. Profe Aachen Institute for Theory of Statistical Physics

   RWTH Aachen University · Jülich Aachen Research Alliance

   Affiliation as printed

   Institute for Theory of Statistical Physics , RWTH Aachen University , 52062 Aachen , Germany

   JARA Fundamentals of Future Information Technology , 52062 Aachen , Germany

   JARA Fundamentals of Future Information Technology, 52062, Aachen, Germany

3. Lennart Klebl Aachen Institute for Theory of Statistical Physics

   RWTH Aachen University · Jülich Aachen Research Alliance

   Affiliation as printed

   Institute for Theory of Statistical Physics, RWTH Aachen University, 52062, Aachen, Germany

   JARA Fundamentals of Future Information Technology, 52062, Aachen, Germany