Wedge-Local Quantum Fields and Noncommutative Minkowski Space

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dc.creatorGrosse, Harald
dc.creatorLechner, Gandalf
dc.date2007-06-27
dc.date2007-10-26
dc.date.accessioned2026-07-07T13:04:28Z
dc.date.available2026-07-07T13:04:28Z
dc.descriptionWithin the setting of a recently proposed model of quantum fields on noncommutative Minkowski spacetime, the consequences of the consistent application of the proper, untwisted Poincare group as the symmetry group are investigated. The emergent model contains an infinite family of fields which are labelled by different noncommutativity parameters, and related to each other by Lorentz transformations. The relative localization properties of these fields are investigated, and it is shown that to each field one can assign a wedge-shaped localization region of Minkowski space. This assignment is consistent with the principles of covariance and locality, i.e. fields localized in spacelike separated wedges commute. Regarding the model as a non-local, but wedge-local, quantum field theory on ordinary (commutative) Minkowski spacetime, it is possible to determine two-particle S-matrix elements, which turn out to be non-trivial. Some partial negative results concerning the existence of observables with sharper localization properties are also obtained.
dc.descriptionVersion to appear in JHEP, 27 pages
dc.identifierhttps://arxiv.org/abs/0706.3992
dc.identifierhttp://arxiv.org/abs/0706.3992
dc.identifierJHEP 0711:012,2007
dc.identifierdoi:10.1088/1126-6708/2007/11/012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227175
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleWedge-Local Quantum Fields and Noncommutative Minkowski Space
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