Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Solvable Spin-Glass of Quantum Rotors   We examine a model of $M$-component quantum rotors coupled by
Gaussian-distributed random, infinite-range exchange interactions. A complete
solution is obtained at $M=\infty$ in the spin-glass and quantum-disordered
phases. The quantum phase transition separating them is found to possess
logarithmic violations of scaling, with no further modifications to the leading
critical behavior at any order in $1/M$; this suggests that the critical
properties of the transverse-field Ising model (believed to be identical to the
$M\rightarrow 1$ limit) are the same as those of the $M=\infty$ quantum rotors.

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The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
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The categories of this paper are: supr-con
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys