Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gauge-invariant charged, monopole and dyon fields in gauge theories   We propose explicit recipes to construct the euclidean Green functions of
gauge-invariant charged, monopole and dyon fields in four-dimensional gauge
theories whose phase diagram contains phases with deconfined electric and/or
magnetic charges. In theories with only either abelian electric or magnetic
charges, our construction is an euclidean version of Dirac's original proposal,
the magnetic dual of his proposal, respectively. Rigorous mathematical control
is achieved for a class of abelian lattice theories. In theories where electric
and magnetic charges coexist, our construction of Green functions of
electrically or magnetically charged fields involves taking an average over
Mandelstam strings or the dual magnetic flux tubes, in accordance with Dirac's
flux quantization condition. We apply our construction to 't Hooft-Polyakov
monopoles and Julia-Zee dyons. Connections between our construction and the
semiclassical approach are discussed.

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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: physics
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The categories of this paper are: alg-geom