Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Critical Phenomena in a Noncommutative Space   In this paper we demonstrate that coordinate noncommutativity at short
distances can show up in critical phenomena through UV-IR mixing. In the
symmetric phase of the Landau-Ginsburg model, noncommutativity is shown to give
rise to a non-zero anomalous dimension at one loop, and to cause instability
towards a new phase at large noncommutativity. In particular, in less than four
dimensions, the one-loop critical exponent $\eta$ is non-vanishing at the
Wilson-Fisher fixed point.

20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
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The categories of this paper are: stat
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin