Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytical and Numerical Study of the Aharonov--Bohm Effect in 3D and 4D
  Abelian Higgs Model   We discuss the Aharonov--Bohm effect in three and four dimensional
non--compact lattice Abelian Higgs model. We show analytically that this effect
leads to the long--range Coulomb interaction of the charged particles, which is
confining in three dimensions. The Aharonov--Bohm effect is found in numerical
calculations in 3D Abelian Higgs model.

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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
2
The categories of this paper are: math
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex