Causal loop in the theory of relative locality

Abstract

We find that relative locality, a recently proposed Planck-scale deformation of special relativity, suffers from the existence of causal loops. A simple and general construction of such on-shell loop processes is studied. We then show that even in one of the weakest deformations of the Poincaré group in relative locality, causality can be violated.

5 pages, 3 figures; v3 matches the published version

References in corpus (4)

• The principle of relative locality
• Relative locality: A deepening of the relativity principle
• Bounds on an energy-dependent and observer-independent speed of light from violations of locality
• Relative-locality distant observers and the phenomenology of momentum-space geometry

Cited by in corpus (6)

• Snyder Momentum Space in Relative Locality
• Causality and momentum conservation from relative locality
• Twisting loops and global momentum non-conservation in Relative Locality
• Orientability of loop processes in relative locality
• Generalized relative locality and causal sets
• Quantum fields in curved space-time, semiclassical gravity, quantum gravity phenomenology, and analogue models: Report on session D4 at GR20