Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comment on "Ultrametricity in the Edwards-Anderson Model"   In a recent interesting Letter Contucci {\it et al.} have investigated
several properties of the three-dimensional (3d) Edwards-Anderson (EA) Ising
spin glass. They claim to have found strong numerical evidence for the presence
of a complex ultrametric structure similar to the one described by the replica
symmetry breaking solution of the mean field model. We illustrate by numerical
simulations that the relations used by Contucci {\it et al.} as evidence for an
ultrametric structure in the 3d EA model are fulfilled to similar accuracy in
the two-dimensional EA model, which is well-described by the droplet picture
and has no spin glass phase at finite temperature. We conclude that the data
presented in the Contucci {\it et al.} Letter is not sufficient to dismiss the
possibility that, e.g., the droplet model might describe the behavior of the 3d
EA model.

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The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio