Field Theory of Disordered Elastic Interfaces at 3-Loop Order
Christoph Husemann1, Kay Jörg Wiese2
1Carl Zeiss AG, Carl Zeiss Promenade 10, D-07745 Jena, Germany
2CNRS-Laboratoire de Physique Théorique de
l'Ecole Normale Supérieure, PSL Research University, Sorbonne Universités, UPMC,
24 rue Lhomond, 75005 Paris, France.
Abstract
We calculate the effective action for disordered elastic manifolds in the ground state (equilibrium) up to 3-loop order. This yields the renormalziation-group $\beta$-function and the critical exponents 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 treat the problems associated with the cusp of the renormalized disorder.
We also obtain the full 2-point function up to order $\epsilon^{2}$, and the correction-to-scaling exponents.
arXiv:1707.09802v1 [pdf]
Copyright (C)
by Kay Wiese. Last edited Feb. 3, 2018.