Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-12-15
Phys.Lett.B648:70-75,2007
Physics
High Energy Physics
High Energy Physics - Theory
6 pages
Scientific paper
10.1016/j.physletb.2007.02.056
We show that free $\kappa$-Minkowski space field theory is equivalent to a relativistically invariant, non local, free field theory on Minkowski space-time. The field theory we obtain has in spectrum a relativistic mode of arbitrary mass $m$ and a Planck mass tachyon. We show that while the energy momentum for the relativistic mode is essentially the standard one, it diverges for the tachyon, so that there are no asymptotic tachyonic states in the theory. It also follows that the dispersion relation is not modified, so that, in particular, in this theory the speed of light is energy-independent.
Freidel Laurent
Kowalski-Glikman Jerzy
Nowak Sebastian
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