Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Absence of replica symmetry breaking in the Edwards-Anderson model near
  zero temperature   It is proven that the ground state is unique in the Edwards-Anderson model
for almost all continuous random exchange interactions, and any excited state
with the overlap less than its maximal value has large energy in dimensions
higher than two with probability one. Since the spin overlap is shown to be
concentrated at its maximal value in the ground state, replica symmetry
breaking does not occur in the Edwards-Anderson model near zero temperature.

12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con