TY  - JOUR
A1  - Beyer, Jacob
A1  - Goth, Florian
A1  - Müller, Tobias
T1  - Better integrators for functional renormalization group calculations
T2  - The European Physical Journal B
N2  - We analyze a variety of integration schemes for the momentum space functional renormalization group calculation with the goal of finding an optimized scheme. Using the square lattice t-t' Hubbard model as a testbed we define and benchmark the quality. Most notably we define an error estimate of the solution for the ordinary differential equation circumventing the issues introduced by the divergences at the end of the FRG flow. Using this measure to control for accuracy we find a threefold reduction in number of required integration steps achievable by choice of integrator. We herewith publish a set of recommended choices for the functional renormalization group, shown to decrease the computational cost for FRG calculations and representing a valuable basis for further investigations.
KW  - functional renormalization group
KW  - FRG
KW  - FRG calculations
KW  - integrators
KW  - ordinary differential equations
KW  - ODE
Y1  - 2022
UR  - https://opus.bibliothek.uni-wuerzburg.de/frontdoor/index/index/docId/32513
UR  - https://nbn-resolving.org/urn:nbn:de:bvb:20-opus-325131
SN  - 1434-6028
VL  - 95
IS  - 7
ER  -