Noncommutative deformations of Wightman quantum field theories

Grosse H, Lechner G (2008)

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2008


Publisher: SPRINGER

Article Number: ARTN 131

Journal Issue: 9

DOI: 10.1088/1126-6708/2008/09/131


Quantum field theories on noncommutative Minkowski space are studied in a model-independent setting by treating the noncommutativity as a deformation of quantum field theories on commutative space. Starting from an arbitrary Wightman theory, we consider special vacuum representations of its Weyl-Wigner deformed counterpart. In such representations, the effect of the noncommutativity on the basic structures of Wightman theory, in particular the covariance, locality and regularity properties of the fields, the structure of the Wightman functions, and the commutative limit, is analyzed. Despite the nonlocal structure introduced by the noncommutativity, the deformed quantum fields can still be localized in certain wedge-shaped regions, and may therefore be used to compute noncommutative corrections to two-particle S-matrix elements.

Authors with CRIS profile

Additional Organisation(s)

Involved external institutions

How to cite


Grosse, H., & Lechner, G. (2008). Noncommutative deformations of Wightman quantum field theories. Journal of High Energy Physics, 9.


Grosse, Harald, and Gandalf Lechner. "Noncommutative deformations of Wightman quantum field theories." Journal of High Energy Physics 9 (2008).

BibTeX: Download