Twisting loops and global momentum non-conservation in Relative Locality

Abstract

Recent work in Relative Locality has shown that the theory allows for a solution of an on-shell causal loop. We show that the theory contains a different type of a loop in which locally momenta are conserved, but there is no global momentum conservation. Thus a freely propagating particle can decay into two particles, which later recombine to give a particle with momentum and mass different than the original one.

6 pages, 2 figures, updated reference, matches version published in PRD

References in corpus (2)

• Gamma ray burst delay times probe the geometry of momentum space
• Snyder Momentum Space in Relative Locality

Cited by in corpus (3)

• Causality and momentum conservation from relative locality
• Orientability of loop processes in relative locality
• Generalized relative locality and causal sets