Field Theory of Disordered Elastic Interfaces at 3-Loop Order: The β-Function
Kay Jörg Wiese1, Christoph Husemann2, Pierre Le Doussal1
1 CNRS-Laboratoire de Physique Théorique de
l'Ecole Normale Supérieure, PSL Research University, Sorbonne Universités, UPMC,
24 rue Lhomond, 75005 Paris, France.
2 Carl Zeiss AG, Carl Zeiss Promenade 10, D-07745 Jena, Germany
Abstract
We calculate the effective action for disordered elastic manifolds in the ground state (equilibrium) up to 3-loop order. This yields the renormalization-group $\beta$-function to third order in $\epsilon=4-d$, in an expansion in the dimension $d$ around the upper critical dimension $d=4$. The calculations are performed using exact RG, and several other techniques, which allow us to resolve consistently the problems associated with the cusp of the renormalized disorder.
arXiv:1801.08483 [pdf]
Nucl. Phys. B 932 (2018) 540-588 [pdf]
Copyright (C)
by Kay Wiese. Last edited July 23, 2018.