Can QFT on Moyal-Weyl spaces look as on commutative ones?

Details Can QFT on Moyal-Weyl spaces look as on commutative ones? Can QFT on Moyal-Weyl spaces look as on commutative ones?

2007-05-08

arxiv.org/abs/0705.1120v1

Physics

High Energy Physics

High Energy Physics - Theory

Talk given at the 21st Nishinomiya-Yukawa Memorial Symposium on Theoretical Physics ``Noncommutative Geometry and Spacetime in

Scientific paper

10.1143/PTPS.171.54

We sketch a natural affirmative answer to the question based on a joint work [11] with J. Wess. There we argue that a proper enforcement of the ``twisted Poincare' '' covariance makes any differences $(x-y)^\mu$ of coordinates of two copies of the Moyal-Weyl deformation of Minkowski space like undeformed. Then QFT in an operator approach becomes compatible with (minimally adapted) Wightman axioms and time-ordered perturbation theory, and physically equivalent to ordinary QFT, as observables involve only coordinate differences.

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