Roughness and critical force for depinning at 3-loop order
Mikhail N. Semeikin, Kay Jörg Wiese
CNRS-Laboratoire de Physique de
l'Ecole Normale Supérieure, ENS, Université PSL, CNRS, Sorbonne Universités, Université Paris-Diderot, Sorbonne Paris Cité
24 rue Lhomond, 75005 Paris, France
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.
arXiv:2410.02361 [pdf]
Copyright (C)
by Kay Wiese. Last edited October 4, 2024.