Work

Functional renormalization group meets computational fluid dynamics: RG flows in a multidimensional field space

Year: 2025

Type: article

Abstract: Within the functional renormalization group framework, we present a fluid-dynamical approach to solving flow equations for models living in a multidimensional field space. To this end, the underlying exact flow equation of the effective potential is reformulated as a set of nonlinear advection-diffusion-type equations which can be solved using the Kurganov-Tadmor central scheme, a modern finite-volume discretization from computational fluid dynamics. We demonstrate the effectiveness of our approach by performing explicit benchmark tests using ( 0 + 0 )-dimensional models with two discretized field-space directions or two symmetry invariants. Our techniques can be directly applied to flow equations of effective potentials of general (fermion-)boson systems with multiple invariants or condensates, as we also demonstrate for two concrete examples in three spacetime dimensions.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/z954-46md

Authors: Niklas Zorbach, Adrian Koenigstein, Jens Braun

Institutions: Technische Universität Darmstadt, Friedrich Schiller University Jena

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: Helmholtz Graduate School for Hadron and Ion Research, Deutsche Forschungsgemeinschaft

Award: TRR 211: Stark wechselwirkende Materie unter extremen Bedingungen