Multi-Particle States in Deformed Special Relativity

Abstract

We investigate the properties of multi-particle 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.

replaced with published version

References in corpus (2)

• Running Coupling with Minimal Length
• A Lagrangian for DSR Particle and the Role of Noncommutativity

Cited by in corpus (7)

• Deformed Special Relativity and Deformed Symmetries in a Canonical Framework
• A Note on Quantum Field Theories with a Minimal Length Scale
• Study of Lorentz violation in INTEGRAL Gamma-Ray Bursts
• Time delay of light signals in an energy-dependent spacetime metric
• GLAST and Lorentz violation
• Dangerous implications of a minimum length in quantum gravity
• Remarks on DSR and Gravity