Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Density Correlations in the Two-Dimensional Coulomb Gas   We consider a two-dimensional Coulomb gas of positive and negative pointlike
unit charges interacting via a logarithmic potential. The density (rather than
the charge) correlation functions are studied. In the bulk, the form-factor
theory of an equivalent sine-Gordon model is used to determine the density
correlation length. At the surface of a rectilinear plain wall, the
universality of the asymptotic behavior of the density correlations is
suggested. A scaling analysis implies a local form of the compressibility sum
rule near a hard wall. A symmetry of the Coulomb system with respect to the
M\"obius conformal transformation, which induces a gravitational source acting
on the particle density, is established. Among the consequences, a universal
term of the finite-size expansion of the grand potential is derived exactly for
a disk geometry of the confining domain.

24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg