Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Real-space renormalization group for the transverse-field Ising model in
  two and three dimensions   The two- and three-dimensional transverse-field Ising models with
ferromagnetic exchange interactions are analyzed by means of the real-space
renormalization group method. The basic strategy is a generalization of a
method developed for the one-dimensional case, which exploits the exact
invariance of the model under renormalization and is known to give the exact
values of the critical point and critical exponent $\nu$. The resulting values
of the critical exponent $\nu$ in two and three dimensions are in good
agreement with those for the classical Ising model in three and four
dimensions. This is the first example in which a real-space renormalization
group on (2+1)- and (3+1)-dimensional Bravais lattices yields accurate
estimates of the critical exponents.

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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int