Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ising Spin Glasses and Renormalization Group Theory: the Binder cumulant   Numerical data on scaling of the normalized Binder cumulant and the
normalized correlation length are shown for the Thermodynamic limit regime,
first for canonical Ising ferromagnet models and then for a range of Ising spin
glass models. A fundamental Renormalization Group Theory rule linking the
critical exponents for the two observables is well obeyed in the Ising models,
but not for the Ising spin glasses in dimensions three and four. We conclude
that there is a violation of a standard Josephson hyperscaling rule in Ising
spin glasses.

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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: cs
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex