Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comments on the Monopole-Antimonopole Pair Solutions   Recently, the monopole-antimonopole pair and monopole-antimonopole chain
solutions are solved with internal space coordinate system of $\theta$-winding
number $m$ greater than one. However, we notice that it is also possible to
solve these solutions numerically in terms of $\theta$-winding number $m=1$
instead. When $m=1$, the exact asymptotic solutions at small and large
distances are parameterized by a single integer parameter $s$. Here we once
again study the monopole-antimonopole pair solution of the SU(2)
Yang-Mills-Higgs theory which belongs to the topological trivial sector
numerically in its new form. This solution with $\theta$-winding and
$\phi$-winding number one is parameterized by $s=0$ at small $r$ and $s=1$ at
large $r$.

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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: cs
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The categories of this paper are: atom-ph
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The categories of this paper are: physics
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol