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

2007

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

Fiore, Gaetano

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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.

Built on

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Then

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