Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Magnetic Monopoles and the Topology of Gauge Fields   Lattice calculations performed in Abelian gauges give strong evidence that
confinement is realized as a dual Meissner effect, implying that the
Yang--Mills vacuum consists of a condensate of magnetic monopoles. We show in
Polyakov gauge how the Pontrjagin index of the gauge field is related to the
magnetic monopole charges.

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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
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The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
18
The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: cs