Why one needs a functional renormalization group to survive in a disordered world
Abstract
In these proceedings, we discuss why functional renormalization is an essential tool to treat strongly disordered systems. More specifically, we treat elastic manifolds in a disordered environment. These are governed by a disorder distribution, which after a finite renormalization becomes non-analytic, thus overcoming the predictions of the seemingly exact dimensional reduction. We discuss how a renormalizable field theory can be constructed even beyond 2-loop order. We then consider an elastic manifold embedded in N dimensions, and give the exact solution for N to infinity. This is compared to predictions of the Gaussian replica variational ansatz, using replica symmetry breaking. Finally, the effective action at order 1/N is reported.
Cite
@article{arxiv.cond-mat/0511529,
title = {Why one needs a functional renormalization group to survive in a disordered world},
author = {Kay Joerg Wiese},
journal= {arXiv preprint arXiv:cond-mat/0511529},
year = {2007}
}
Comments
Proceedings of STATPHYS 22