Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum vacuum interaction between two sine-Gordon kinks   We calculate the quantum vacuum interaction energy between two kinks of the
sine-Gordon equation. Using the $TGTG$--formula, the problem is reduced to the
known formulas for quantum fluctuations in the background of a single kink.
This interaction induces an attractive force between the kinks in parallel to
the Casimir force between conducting mirrors.

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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci