Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analysis of an Extended +-J Ising Spin Glass Model by Using a Gauge
  Symmetry   We investigate an extended +-J Ising spin glass model by using a gauge
symmetry. This model has +-J1 interactions and +-J2 interactions. We show that
a gauge symmetry is usable to study this model. The exact internal energy, the
rigorous upper bound of the specific heat and some rigorous relations for
correlation functions and order parameters are shown by using the gauge
symmetry. The results are rigorous, and do not depend on any lattice shape. A
part of our results, e.g., the value of the exact internal energy should be
useful for checking the computer programs for investigating this model. In
addition, we find that the present solutions are general solutions which
include the solutions on the so-called Nishimori line for the conventional +-J
Ising spin glass model and the solutions for the bond-diluted +-J Ising spin
glass model.

5
The categories of this paper are: gr-qc
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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
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The categories of this paper are: eess
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn