Why one needs a functional renormalization group to survive in a disordered world
| dc.creator | Wiese, Kay Joerg | |
| dc.date | 2005-11-22 | |
| dc.date.accessioned | 2026-07-07T06:49:21Z | |
| dc.date.available | 2026-07-07T06:49:21Z | |
| dc.description | 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. | |
| dc.description | Proceedings of STATPHYS 22 | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0511529 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0511529 | |
| dc.identifier | Pramana 64 (2005) 817-827 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104307 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Why one needs a functional renormalization group to survive in a disordered world | |
| dc.type | text |