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Article Dans Une Revue Pramana - Journal of Physics Année : 2005

Why one needs a functional renormalization group to survive in a disordered world

Résumé

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.

Dates et versions

hal-00172150 , version 1 (14-09-2007)

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Kay Joerg Wiese. Why one needs a functional renormalization group to survive in a disordered world. Pramana - Journal of Physics, 2005, 64, pp.817. ⟨hal-00172150⟩
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