2006/12/15 by Laurent Freidel, Jerzy Kowalski-Glikman, Sebastian Nowak · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Doubly special relativity #Energy–momentum relation #Four-force #Mathematical physics #Minkowski space #Minkowski's theorem #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Physics #Quantum #Quantum field theory #Quantum gravity #Quantum mechanics #Scalar field theory #Special relativity #Tachyon #Theoretical physics #Theory of relativity #hep-th
paper · pdf · doi:10.1016/j.physletb.2007.02.056
published as Phys.Lett.B648:70-75,2007 · 6 pages
arxiv created 2006/12/15 · openalex publication_date 2007/03/06 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We show that free κ-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.