Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: UV-IR Mixing in Non-Commutative Plane   Poincar\'e-invariant quantum field theories can be formulated on
non-commutative planes if the coproduct on the Poincar\'e group is suitably
deformed \cite{Dimitrijevic:2004rf, Chaichian:2004za}.(See also especially
Oeckl \cite{Oeckl:1999jun},\cite{Oeckl:2000mar} and Grosse et
al.\cite{Grosse:2001mar}) As shown in \cite{Balachandran:2005eb}, this
important result of these authors implies modification of free field
commutation and anti-commutation relations and striking phenomenological
consequences such as violations of Pauli principle
\cite{Balachandran:2005eb,Bal3}. In this paper we prove that with these
modifications, UV-IR mixing disappears to all orders in perturbation theory
from the $S$-Matrix. This result is in agreement with the previous results of
Oeckl \cite{Oeckl:2000mar}.

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The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
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The categories of this paper are: patt-sol
16
The categories of this paper are: stat
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph