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Evidence for an Obstruction to Perturbative Renormalization Group in Stochastic Turbulence
Abstract
We examine whether the perturbative renormalization group (RG) regime of stochastic turbulence can be continued from small ε to the physical value εphys=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 ε=0 ceases to be simultaneously real and infrared stable before reaching εphys=2, pointing to a possible change of infrared regime rather than a controlled perturbative RG extrapolation.
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BibTeX
@misc{adzhemyan2026evidence,
title = {{Evidence for an Obstruction to Perturbative Renormalization Group in Stochastic Turbulence}},
author = {L. Ts. Adzhemyan and D. A. Davletbaeva and D. A. Evdokimov and M. V. Kompaniets},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.01507},
eprint = {2610.01507},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.01507},
}
RIS
TY - UNPB
TI - Evidence for an Obstruction to Perturbative Renormalization Group in Stochastic Turbulence
AU - L. Ts. Adzhemyan
AU - D. A. Davletbaeva
AU - D. A. Evdokimov
AU - M. V. Kompaniets
PY - 2026
DA - 2026/10/01
PB - arXiv
DO - 10.48550/arxiv.2610.01507
UR - https://arxiv.org/abs/2610.01507
AB - We examine whether the perturbative renormalization group (RG) regime of stochastic turbulence can be continued from small ε to the physical value ε_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 ε=0 ceases to be simultaneously real and infrared stable before reaching ε_phys=2, pointing to a possible change of infrared regime rather than a controlled perturbative RG extrapolation.
ER -