Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Higgs phase as a spin glass phase in D=5 dimensional SU(2) gauge
  Higgs theory   According to recent work of Greensite and Matsuyama, the Higgs phase of a
gauge Higgs theory is distinguished from the confinement and massless phases by
the spontaneous breaking of a global center subgroup of the gauge group, and by
confinement type. This is contrary to the notion that there is no essential
distinction between the Higgs and confinement phases when the Higgs field is in
the fundamental representation of the gauge group. Although this new symmetry
breaking order parameter has been investigated in $D=4$ dimensions, there is so
far no check in a non-abelian gauge theory containing a massless as well as
confinement/Higgs phases, where the prediction is that the symmetry breaking
order parameter will show transition lines separating the massless to Higgs and
confinement to Higgs phases, but not the massless to confinement phase. In this
work we map out the phase structure of the $D=5$ dimensional model, according
to both the symmetry breaking parameter and thermodynamic observables, and
check the assertion regarding the massless to confinement phase.

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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: physics
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The categories of this paper are: nlin
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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: stat