S-Matrix on the Moyal Plane: Locality versus Lorentz Invariance

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dc.creatorBalachandran, A. P.
dc.creatorPinzul, A.
dc.creatorQureshi, B. A.
dc.creatorVaidya, S.
dc.date2007-08-10
dc.date2007-08-16
dc.date.accessioned2026-07-07T11:18:34Z
dc.date.available2026-07-07T11:18:34Z
dc.descriptionTwisted quantum field theories on the Groenewold-Moyal plane are known to be non-local. Despite this non-locality, it is possible to define a generalized notion of causality. We show that interacting quantum field theories that involve only couplings between matter fields, or between matter fields and minimally coupled U(1) gauge fields are causal in this sense. On the other hand, interactions between matter fields and non-abelian gauge fields violate this generalized causality. We derive the modified Feynman rules emergent from these features. They imply that interactions of matter with non-abelian gauge fields are not Lorentz- and CPT-invariant.
dc.description15 pages, LaTeX, 1 figure
dc.identifierhttps://arxiv.org/abs/0708.1379
dc.identifierhttp://arxiv.org/abs/0708.1379
dc.identifierPhys.Rev.D77:025020,2008
dc.identifierdoi:10.1103/PhysRevD.77.025020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193389
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.titleS-Matrix on the Moyal Plane: Locality versus Lorentz Invariance
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