Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Role of Vortex Strings in the Non-Compact Lattice Abelian Higgs
  Model   The non-compact lattice version of the Abelian Higgs model is studied in
terms of its topological excitations. The Villain form of the partition
function is represented as a sum over world-sheets of gauge-invariant
``vortex'' strings. The phase transition of the system is then related to the
density of these excitations. Through Monte Carlo simulations the density of
the vortex sheets is shown to be a good order parameter for the system. The
vortex density essentially vanishes in the Higgs phase, and the Coulomb phase
consists of a single vortex condensate.

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The categories of this paper are: plasm-ph
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The categories of this paper are: cond-mat
3
The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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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: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: cmp-lg