Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-11-04
JCAP 0309 (2003) 006
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, LaTex
Scientific paper
10.1088/1475-7516/2003/09/006
The realization that forthcoming experimental studies, such as the ones planned for the GLAST space telescope, will be sensitive to Planck-scale deviations from Lorentz symmetry has increased interest in noncommutative spacetimes in which this type of effects is expected. We focus here on $\kappa$-Minkowski spacetime, a much-studied example of Lie-algebra noncommutative spacetime, but our analysis appears to be applicable to a more general class of noncommutative spacetimes. A technical controversy which has significant implications for experimental testability is the one concerning the $\kappa$-Minkowski relation between group velocity and momentum. A large majority of studies adopted the relation $v = dE(p)/dp$, where $E(p)$ is the $\kappa$-Minkowski dispersion relation, but recently some authors advocated alternative formulas. While in these previous studies the relation between group velocity and momentum was introduced through ad hoc formulas, we rely on a direct analysis of wave propagation in $\kappa$-Minkowski. Our results lead conclusively to the relation $v = dE(p)/dp$. We also show that the previous proposals of alternative velocity/momentum relations implicitly relied on an inconsistent implementation of functional calculus on $\kappa$-Minkowski and/or on an inconsistent description of spacetime translations.
Amelino-Camelia Giovanni
D'Andrea Francesco
Mandanici Gianluca
No associations
LandOfFree
Group velocity in noncommutative spacetime does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Group velocity in noncommutative spacetime, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Group velocity in noncommutative spacetime will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-636009