Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The SU(3)/Z_3 QCD(adj) deconfinement transition via the gauge
  theory/"affine" XY-model duality   Earlier, two of us and M. Unsal [arXiv:1112.6389] showed that some 4d gauge
theories, compactified on a small spatial circle of size L and considered at
temperatures 1/beta near deconfinement, are dual to 2d "affine" XY-spin models.
We use the duality to study deconfinement in SU(3)/Z_3 theories with n_f>1
massless adjoint Weyl fermions, QCD(adj) on R^2 x S^1_beta x S^1_L. The"affine"
XY-model describes two "spins" - compact scalars taking values in the SU(3)
root lattice, with nearest-neighbor interactions and subject to an "external
field" preserving the topological Z_3^t and a discrete Z_3^chi subgroup of the
chiral symmetry of the 4d gauge theory. The equivalent Coulomb gas
representation of the theory exhibits electric-magnetic duality, which is also
a high-/low-temperature duality. A renormalization group analysis suggests -
but is not convincing, due to the onset of strong coupling - that the self-dual
point is a fixed point, implying a continuous deconfinement transition. Here,
we study the nature of the transition via Monte Carlo simulations. The Z_3^t x
Z_3^chi order parameter, its susceptibility, the vortex density, the energy per
spin, and the specific heat are measured over a range of volumes, temperatures,
and "external field" strengths (in the gauge theory, these correspond to
magnetic bion fugacities). The finite-size scaling of the susceptibility and
specific heat we find is characteristic of a first-order transition.
Furthermore, for sufficiently large but still smaller than unity bion fugacity
(as can be achieved upon an increase of the S^1_L size), at the critical
temperature we find two distinct peaks of the energy probability distribution,
indicative of a first-order transition, as has been seen in earlier simulations
of the full 4d QCD(adj) theory. We end with discussions of the global phase
diagram in the beta-L plane for different numbers of flavors.

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The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: cs
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The categories of this paper are: funct-an