Physical velocity of particles in relativistic curved momentum space
Mignemi S.;Rosati G.
2020-01-01
Abstract
We show in general that for a relativistic theory with curved momentum space, i.e. a theory with deformed relativistic symmetries, the physical velocity of particles coincides with their group velocity. This clarifies a long-standing question about the discrepancy between coordinate and group velocity for this kind of theories. The first evidence that this was the case had been obtained at linear order in the deformation parameter in Ref. 1 for the specific case of κ-momentum space. The proof was based on the recent understanding of how relative locality affects these scenarios. Here we rely again on a careful implementation of relative locality effects, and obtain our result for a generic (relativistic) curved momentum space framework at all orders in the deformation/curvature parameter. We also discuss the validity of this result when the deformation depends on the coordinates as well as on the momenta.File | Size | Format | |
---|---|---|---|
mpla35180.pdf Solo gestori archivio
Size 382.02 kB
Format Adobe PDF
|
382.02 kB | Adobe PDF | & nbsp; View / Open Request a copy |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.