On "full" twisted Poincare' symmetry and QFT on Moyal-Weyl spaces

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dc.creatorFiore, Gaetano
dc.creatorWess, Julius
dc.date2007-01-09
dc.date2007-05-08
dc.date.accessioned2026-07-07T11:59:37Z
dc.date.available2026-07-07T11:59:37Z
dc.descriptionWe explore some general consequences of a proper, full enforcement of the "twisted Poincare'" covariance of Chaichian et al. [14], Wess [50], Koch et al. [34], Oeckl [41] upon many-particle quantum mechanics and field quantization on a Moyal-Weyl noncommutative space(time). This entails the associated braided tensor product with an involutive braiding (or $\star$-tensor product in the parlance of Aschieri et al. [3,4]) prescription for any coordinates pair of $x,y$ generating two different copies of the space(time); the associated nontrivial commutation relations between them imply that $x-y$ is central and its Poincaré transformation properties remain undeformed. As a consequence, in QFT (even with space-time noncommutativity) one can reproduce notions (like space-like separation, time- and normal-ordering, Wightman or Green's functions, etc), impose constraints (Wightman axioms), and construct free or interacting theories which essentially coincide with the undeformed ones, since the only observable quantities involve coordinate differences. In other words, one may thus well realize QM and QFT's where the effect of space(time) noncommutativity amounts to a practically unobservable common noncommutative translation of all reference frames.
dc.descriptionLatex file, 24 pages. Final version to appear in PRD
dc.identifierhttps://arxiv.org/abs/hep-th/0701078
dc.identifierhttp://arxiv.org/abs/hep-th/0701078
dc.identifierPhys.Rev.D75:105022,2007
dc.identifierdoi:10.1103/PhysRevD.75.105022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/206628
dc.subjectHigh Energy Physics - Theory
dc.titleOn "full" twisted Poincare' symmetry and QFT on Moyal-Weyl spaces
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