Better integrators for functional renormalization group calculations
Zitieren Sie bitte immer diese URN: urn:nbn:de:bvb:20-opus-325131
- 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 stepsWe 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.…
Autor(en): | Jacob BeyerORCiD, Florian GothORCiD, Tobias MüllerORCiD |
---|---|
URN: | urn:nbn:de:bvb:20-opus-325131 |
Dokumentart: | Artikel / Aufsatz in einer Zeitschrift |
Institute der Universität: | Fakultät für Physik und Astronomie / Institut für Theoretische Physik und Astrophysik |
Sprache der Veröffentlichung: | Englisch |
Titel des übergeordneten Werkes / der Zeitschrift (Englisch): | The European Physical Journal B |
ISSN: | 1434-6028 |
Erscheinungsjahr: | 2022 |
Band / Jahrgang: | 95 |
Heft / Ausgabe: | 7 |
Aufsatznummer: | 116 |
Originalveröffentlichung / Quelle: | The European Physical Journal B (2022) 95:7, 116. DOI: 10.1140/epjb/s10051-022-00378-x |
DOI: | https://doi.org/10.1140/epjb/s10051-022-00378-x |
Allgemeine fachliche Zuordnung (DDC-Klassifikation): | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
Freie Schlagwort(e): | FRG; FRG calculations; ODE; functional renormalization group; integrators; ordinary differential equations |
Datum der Freischaltung: | 11.03.2024 |
Lizenz (Deutsch): | CC BY: Creative-Commons-Lizenz: Namensnennung 4.0 International |