作者: Gaetano Fiore , Julius Wess
DOI: 10.1103/PHYSREVD.75.105022
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摘要: We explore some general consequences of a proper, full enforcement the 'twisted Poincare' covariance Chaichian et al., Wess, Koch and Oeckl upon many-particle quantum mechanics field quantization on Moyal-Weyl noncommutative space(time). This entails associated braided tensor product with an involutive braiding (or *-tensor in parlance Aschieri al.) prescription for any coordinate pair x, y generating two different copies space(time); nontrivial commutation relations between them imply that x-y is central its Poincare transformation properties remain undeformed. As consequence, theory (QFT) (even space-time noncommutativity) one can reproduce notions (like spacelike separation, time- normal-ordering, Wightman or Green's functions, etc.), impose constraints (Wightman axioms), construct free interacting theories which essentially coincide undeformed ones, since only observable quantities involve differences. In other words, may thus well realize (QM) QFT's where effect space(time) noncommutativity amounts to practically unobservable common translation all reference frames.