Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Spin Systems with Quenched Randomness: Classical and Quantum   The rounding of first order phase transitions by quenched randomness is
stated in a form which is applicable to both classical and quantum systems: The
free energy, as well as the ground state energy, of a spin system on a
$d$-dimensional lattice is continuously differentiable with respect to any
parameter in the Hamiltonian to which some randomness has been added when $d
\leq 2$. This implies absence of jumps in the associated order parameter, e.g.,
the magnetization in case of a random magnetic field. A similar result applies
in cases of continuous symmetry breaking for $d \leq 4$. Some questions
concerning the behavior of related order parameters in such random systems are
discussed.

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The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
16
The categories of this paper are: stat
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex