UV-IR Mixing in Non-Commutative Plane
Balachandran, A. P. ; Pinzul, A. ; Qureshi, B.
arXiv, 0508151 / Harvested from arXiv
Text on arXiv
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}.
Publié le : 2005-08-20
Classification:  High Energy Physics - Theory,  General Relativity and Quantum Cosmology,  High Energy Physics - Phenomenology,  Mathematical Physics,  Mathematics - Quantum Algebra 
@article{0508151,
     author = {Balachandran, A. P. and Pinzul, A. and Qureshi, B.},
     title = {UV-IR Mixing in Non-Commutative Plane},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0508151}
}

Balachandran, A. P.; Pinzul, A.; Qureshi, B. UV-IR Mixing in Non-Commutative Plane. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0508151/