Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher-charge three-dimensional compact lattice Abelian-Higgs models   We consider three-dimensional higher-charge multicomponent lattice
Abelian-Higgs (AH) models, in which a compact U(1) gauge field is coupled to an
N-component complex scalar field with integer charge q, so that they have local
U(1) and global SU(N) symmetries. We discuss the dependence of the phase
diagram, and the nature of the phase transitions, on the charge q of the scalar
field and the number N>1 of components. We argue that the phase diagram of
higher-charge models presents three different phases, related to the
condensation of gauge-invariant bilinear scalar fields breaking the global
SU(N) symmetry, and to the confinement/deconfinement of external charge-one
particles. The transition lines separating the different phases show different
features, which also depend on the number N of components. Therefore, the phase
diagram of higher-charge models substantially differs from that of unit-charge
models, which undergo only transitions driven by the breaking of the global
SU(N) symmetry, while the gauge correlations do not play any relevant role. We
support the conjectured scenario with numerical results, based on finite-size
scaling analyses of Monte Carlo simuations for doubly-charged unit-length
scalar fields with small and large number of components, i.e. N=2 and N=25.

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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: cs
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: hep-ph
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The categories of this paper are: math
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The categories of this paper are: quant-ph
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The categories of this paper are: physics
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg