Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Why one needs a functional renormalization group to survive in a
  disordered world   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.

3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg