Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Large-$N$ Phase Transition in a Finite Lattice Gauge Theory   We consider gauge theories of non-Abelian $finite$ groups, and discuss the
1+1 dimensional lattice gauge theory of the permutation group $S_N$ as an
illustrative example. The partition function at finite $N$ can be written
explicitly in a compact form using properties of $S_N$ conjugacy classes. A
natural large-$N$ limit exists with a new 't Hooft coupling, $\lambda=g^2 \log
N$. We identify a Gross-Witten-Wadia-like phase transition at infinite $N$, at
$\lambda=2$. It is first order. An analogue of the string tension can be
computed from the Wilson loop expectation value, and it jumps from zero to a
finite value. We view this as a type of large-$N$ (de-)confinement transition.
Our holographic motivations for considering such theories are briefly
discussed.

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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: math
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The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: econ