Work

Evidence for an Obstruction to Perturbative Renormalization Group in Stochastic Turbulence

Year: 2026

Type: preprint

Abstract: We examine whether the perturbative renormalization group (RG) regime of stochastic turbulence can be continued from small $\varepsilon$ to the physical value $\varepsilon_{\mathrm{phys}}=2$, corresponding to large-scale forcing. Exploiting the simplifications of the large-$d$ limit, we calculate the correction exponent $ω$ to five-loop order and find a simple structure suggesting a closed analytic form. This form implies that the fixed point stable near $\varepsilon=0$ ceases to be simultaneously real and infrared stable before reaching $\varepsilon_{\mathrm{phys}}=2$, pointing to a possible change of infrared regime rather than a controlled perturbative RG extrapolation.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.01507

Authors: Adzhemyan, L. Ts., Davletbaeva, D. A., Evdokimov, D. A., Kompaniets, M. V.

Institutions: St Petersburg University, Joint Institute for Nuclear Research, Kurchatov Institute, Petersburg Nuclear Physics Institute

Language: English

Topic: Fluid Dynamics and Turbulent Flows

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funder: Joint Institute for Nuclear Research

OpenAlex ID: W7215975291

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