Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two Phases for Compact U(1) Pure Gauge Theory in Three Dimensions   We show that if actions more general than the usual simple plaquette action
($\sim F_{\mu\nu}^2$) are considered, then compact $U(1)$ {\sl pure} gauge
theory in three Euclidean dimensions can have two phases. Both phases are
confining phases, however in one phase the monopole condensate spontaneously
`magnetizes'. For a certain range of parameters the phase transition is
continuous, allowing the definition of a strong coupling continuum limit. We
note that these observations have relevance to the `fictitious' gauge field
theories of strongly correlated electron systems, such as those describing
high-$T_c$ superconductors.

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The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
3
The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
1
The categories of this paper are: cs
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The categories of this paper are: quant-ph