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Title: Multiparticle states in deformed special relativity

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.

Authors:
 [1]
  1. Perimeter Institute 31 Caroline Street N, Waterloo, Ontario, N2L 2Y5 (Canada)
Publication Date:
OSTI Identifier:
20933298
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.75.105005; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ENERGY DEPENDENCE; LAGRANGIAN FUNCTION; LOCALITY; QUANTUM FIELD THEORY; RELATIVITY THEORY; TRANSFORMATIONS

Citation Formats

Hossenfelder, S. Multiparticle states in deformed special relativity. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.105005.
Hossenfelder, S. Multiparticle states in deformed special relativity. United States. doi:10.1103/PHYSREVD.75.105005.
Hossenfelder, S. Tue . "Multiparticle states in deformed special relativity". United States. doi:10.1103/PHYSREVD.75.105005.
@article{osti_20933298,
title = {Multiparticle states in deformed special relativity},
author = {Hossenfelder, S.},
abstractNote = {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.},
doi = {10.1103/PHYSREVD.75.105005},
journal = {Physical Review. D, Particles Fields},
number = 10,
volume = 75,
place = {United States},
year = {Tue May 15 00:00:00 EDT 2007},
month = {Tue May 15 00:00:00 EDT 2007}
}