Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spontaneous symmetry breaking in the finite, lattice quantum sine-Gordon
  model   The spontaneous breaking of a global discrete translational symmetry in the
finite, lattice quantum sine-Gordon model is demonstrated by a density matrix
renormalization group. A phase diagram in the coupling constant - inverse
system size plane is obtained. Comparison of the phase diagram with a
Woomany-Wyld finite-size scaling leads to an identification of the
Berezinskii-Kosterlitz-Thouless transition in the quantum sine-Gordon model as
the spontaneous symmetry breaking.

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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: math
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph