Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Ising Spin Glass in dimension four   The critical behaviors of the bimodal and Gaussian Ising spin glass (ISG)
models in dimension four are studied through extensive numerical simulations,
and from an analysis of high temperature series expansion (HTSE) data of Klein
{\it et al.} (1991). The simulations include standard finite size scaling
measurements, thermodynamic limit regime measurements, and analyses which
provide estimates of critical exponents without any consideration of the
critical temperature. The higher order HTSE series for the bimodal model
provide accurate estimates of the critical temperature and critical exponents.
These estimates are independent of and fully consistent with the simulation
values. Comparisons between ISG models in dimension four show that the critical
exponents and the critical constants for dimensionless observables depend on
the form of the interaction distribution of the model.

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The categories of this paper are: astro-ph
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The categories of this paper are: physics
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The categories of this paper are: hep-th
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: math