UV-IR Mixing in Non-Commutative Plane

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dc.creatorBalachandran, A. P.
dc.creatorPinzul, A.
dc.creatorQureshi, B.
dc.date2005-08-20
dc.date2005-10-28
dc.date.accessioned2026-07-07T10:30:14Z
dc.date.available2026-07-07T10:30:14Z
dc.descriptionPoincaré-invariant quantum field theories can be formulated on non-commutative planes if the coproduct on the Poincaré 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}.
dc.descriptionMinor Changes in text and abstract, important references added
dc.identifierhttps://arxiv.org/abs/hep-th/0508151
dc.identifierhttp://arxiv.org/abs/hep-th/0508151
dc.identifierPhys.Lett.B634:434-436,2006
dc.identifierdoi:10.1016/j.physletb.2006.02.006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/178068
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.titleUV-IR Mixing in Non-Commutative Plane
dc.typetext

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