We study boost and space-rotation transformations in κ-Minkowski noncommutative spacetime, using the techniques that some of us had previously developed [A. Agostini, G. Amelino-Camelia, M. Arzano, A. Marciano, R.A. Tacchi, hep-th/0607221] for a description of translations in κ-Minkowski, which in particular led to the introduction of translation transformation parameters that do not commute with the spacetime coordinates. We find a similar description of boosts and space rotations, which allows us to identify some associated conserved charges, but the form of the commutators between transformation parameters and spacetime coordinates is incompatible with the possibility of a pure boost. © 2008 Elsevier B.V. All rights reserved.
A no-pure-boost uncertainty principle from spacetime noncommutativity / Amelino Camelia, G.; Gubitosi, G.; Marciano, A.; Martinetti, P.; Mercati, F.. - In: PHYSICS LETTERS. SECTION B. - ISSN 0370-2693. - 671:2(2009), pp. 298-302. [10.1016/j.physletb.2008.12.032]
A no-pure-boost uncertainty principle from spacetime noncommutativity
Amelino Camelia G.;Gubitosi G.;Mercati F.
2009
Abstract
We study boost and space-rotation transformations in κ-Minkowski noncommutative spacetime, using the techniques that some of us had previously developed [A. Agostini, G. Amelino-Camelia, M. Arzano, A. Marciano, R.A. Tacchi, hep-th/0607221] for a description of translations in κ-Minkowski, which in particular led to the introduction of translation transformation parameters that do not commute with the spacetime coordinates. We find a similar description of boosts and space rotations, which allows us to identify some associated conserved charges, but the form of the commutators between transformation parameters and spacetime coordinates is incompatible with the possibility of a pure boost. © 2008 Elsevier B.V. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
