Multiparticle states in deformed special relativity

S. Hossenfelder
Phys. Rev. D 75, 105005 – Published 10 May 2007

Abstract

We investigate the properties of multiparticle states in deformed special relativity (DSR). Starting from the Lagrangian formalism with an energy dependent metric, the conserved Noether current can be derived which is additive in the usual way. The integrated Noether current had previously been discarded as a conserved quantity, because it was correctly realized that it does no longer obey the DSR transformations. We identify the reason for this mismatch in the fact that DSR depends only on the extensive quantity of total four momentum instead of the energy-momentum densities as would be appropriate for a field theory. We argue that the reason for the failure of DSR to reproduce the standard transformation behavior in the well established limits is due to the missing sensitivity to the volume inside which energy is accumulated. We show that the soccer-ball problem is absent if one formulates DSR instead for the field densities. As a consequence, estimates for predicted effects have to be corrected by many orders of magnitude. Further, we derive that the modified quantum field theory implies a locality bound.

  • Received 13 February 2007

DOI:https://doi.org/10.1103/PhysRevD.75.105005

©2007 American Physical Society

Authors & Affiliations

S. Hossenfelder*

  • Perimeter Institute 31 Caroline Street N, Waterloo, Ontario, N2L 2Y5, Canada

  • *Electronic address: sabine@perimeterinstitute.ca

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 75, Iss. 10 — 15 May 2007

Reuse & Permissions
Access Options

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×