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arXiv · 0705.1120

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

Gaetano Fiore
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Abstract

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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Gaetano Fiore. 2007-05-08. Can QFT on Moyal-Weyl spaces look as on commutative ones?. https://doi.org/10.1143/ptps.171.54

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