Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The cavity method for quantum disordered systems: from transverse random
  field ferromagnets to directed polymers in random media   After reviewing the basics of the cavity method in classical systems, we show
how its quantum version, with some appropriate approximation scheme, can be
used to study a system of spins with random ferromagnetic interactions and a
random transverse field. The quantum cavity equations describing the
ferromagnetic-paramagnetic phase transition can be transformed into the
well-known problem of a classical directed polymer in a random medium. The
glass transition of this polymer problem translates ino the existence of a
`Griffith phase' close to the quantum phase transition of the quantum spin
problem, where the physics is dominated by rare events.

2
The categories of this paper are: math
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org