Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Relativistic Non-Commutative Field Theory and UV/IR Mixing   We study a non-commutative non-relativistic scalar field theory in 2+1
dimensions. The theory shows the UV/IR mixing typical of QFT on non-commutative
spaces. The one-loop correction to the two-point function turns out to be given
by a delta-function in momentum space. The one-loop correction to the
four-point function is of logarithmic type. We also evaluate the thermodynamic
potential at two-loop order. To avoid an IR-singularity we have to introduce a
chemical potential. The suppression of the non-planar contribution with respect
to the planar one turns out to depend crucially on the value of the chemical
potential.

11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom