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

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

2005-11-22

arxiv.org/abs/cond-mat/0511529v1

Pramana 64 (2005) 817-827

Physics

Condensed Matter

Disordered Systems and Neural Networks

Proceedings of STATPHYS 22

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Why one needs a functional renormalization group to survive in a disordered world does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Why one needs a functional renormalization group to survive in a disordered world, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Why one needs a functional renormalization group to survive in a disordered world will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-384852