Within the last decades the Functional Renormalization Group (FRG) was established as a powerful non-perturbative method for the computation of observables for all kinds of systems from statistical mechanics and QFT.
This talk demonstrates how FRG flow equations can be reinterpreted in terms of fluid dynamic problems. Using the minimal example of O(N) models in zero spacetime dimensions the connection between RG flow equations and advection-diffusion equations is discussed. Direct consequences such as dissipation, entropy production, and irreversibility of the RG flow as well as effects like possible shock waves in field space are highlighted.
Implications of this approach on truncations and suitable numerical schemes are discussed and generalizations and applications in higher-dimensional systems are presented.
