Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Instantons, Monopoles and the Flux Quantization in the Faddeev-Niemi
  Decomposition   We study how instantons arise in the low energy effective theory of the SU(2)
Yang-Mills theory in the context of the non-linear sigma model recently propose
by Faddeev and Niemi. We find a simple relation between the instanton number
$\nu$ and the charge m of the monopole that appears in the effective theory. It
is given by $\nu = m \Phi/(2\pi)$, where $\Phi$ is the quantized flux
associated with a U(1) gauge field passing through the loop formed by the
singularity of the monopole.

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The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
2
The categories of this paper are: math
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The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn