Wedge-local quantum fields and noncommutative Minkowski space
Grosse H, Lechner G (2007)
Publication Status: Published
Publication Type: Journal article
Publication year: 2007
Journal
Publisher: SPRINGER
Article Number: ARTN 012
Journal Issue: 11
DOI: 10.1088/1126-6708/2007/11/012
Abstract
Within the setting of a recently proposed model of quantum fields on noncommutative Minkowski space, 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 in 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.
Authors with CRIS profile
Additional Organisation(s)
Involved external institutions
Austria (AT)How to cite
APA:
Grosse, H., & Lechner, G. (2007). Wedge-local quantum fields and noncommutative Minkowski space. Journal of High Energy Physics, 11. https://dx.doi.org/10.1088/1126-6708/2007/11/012
MLA:
Grosse, Harald, and Gandalf Lechner. "Wedge-local quantum fields and noncommutative Minkowski space." Journal of High Energy Physics 11 (2007).
BibTeX: Download