Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical properties of the four-state Commutative Random Permutation
  Glassy Potts model in three and four dimensions   We investigate the critical properties of the four-state commutative random
permutation glassy Potts model in three and four dimensions by means of Monte
Carlo simulation and of a finite size scaling analysis. Thanks to the use of a
field programmable gate array we have been able to thermalize a large number of
samples of systems with large volume. This has allowed us to observe a
spin-glass ordered phase in d=4 and to study the critical properties of the
transition. In d=3, our results are consistent with the presence of a
Kosterlitz-Thouless transition, but we cannot exclude transient effects due to
a value of the lower critical dimension slightly below 3.

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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: cs
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph