Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-08-09
Phys.Lett.B604:98-102,2004
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, one reference added
Scientific paper
10.1016/j.physletb.2004.10.045
By invoking the concept of twisted Poincar\' e symmetry of the algebra of functions on a Minkowski space-time, we demonstrate that the noncommutative space-time with the commutation relations $[x_\mu,x_\nu]=i\theta_{\mu\nu}$, where $\theta_{\mu\nu}$ is a {\it constant} real antisymmetric matrix, can be interpreted in a Lorentz-invariant way. The implications of the twisted Poincar\'e symmetry on QFT on such a space-time is briefly discussed. The presence of the twisted symmetry gives justification to all the previous treatments within NC QFT using Lorentz invariant quantities and the representations of the usual Poincar\'e symmetry.
Chaichian Masud
Kulish Petr P.
Nishijima Kazuhiko
Tureanu Anca
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