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Better integrators for functional renormalization group calculations
Please always quote using this 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.…
Author: | Jacob BeyerORCiD, Florian GothORCiD, Tobias MüllerORCiD |
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URN: | urn:nbn:de:bvb:20-opus-325131 |
Document Type: | Journal article |
Faculties: | Fakultät für Physik und Astronomie / Institut für Theoretische Physik und Astrophysik |
Language: | English |
Parent Title (English): | The European Physical Journal B |
ISSN: | 1434-6028 |
Year of Completion: | 2022 |
Volume: | 95 |
Issue: | 7 |
Article Number: | 116 |
Source: | 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 |
Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
Tag: | FRG; FRG calculations; ODE; functional renormalization group; integrators; ordinary differential equations |
Release Date: | 2024/03/11 |
Licence (German): | CC BY: Creative-Commons-Lizenz: Namensnennung 4.0 International |