Large Orders and Strong-Coupling Limit in Functional Renormalization
High Energy Physics - Theory
2025-12-01 v2 Disordered Systems and Neural Networks
Statistical Mechanics
Abstract
We study the large-order behavior of the functional renormalization group (FRG). For a model in dimension zero, we establish Borel-summability for a large class of microscopic couplings. Writing the derivatives of FRG as contour integrals, we express the Borel-transform as well as the original series as integrals. Taking the strong-coupling limit in this representation, we show that all short-ranged microscopic disorders flow to the same universal fixed point. Our results are relevant for FRG in disordered elastic systems.
Keywords
Cite
@article{arxiv.2410.02361,
title = {Large Orders and Strong-Coupling Limit in Functional Renormalization},
author = {Mikhail N. Semeikin and Kay Joerg Wiese},
journal= {arXiv preprint arXiv:2410.02361},
year = {2025}
}
Comments
6 pages, 5 figures