Modified Dispersion Relations from the Renormalization Group of Gravity

TL;DR

This paper derives modified dispersion relations for massive particles from the renormalization group flow in gravity, exploring implications for Lorentz invariance violation and deformed special relativity.

Contribution

It demonstrates how gravitational coupling running can lead to modified particle dispersion relations compatible with different theoretical frameworks.

Findings

Modified dispersion relations arise from gravitational renormalization group flow.

Strong constraints on Lorentz invariance violation are identified.

Compatibility with deformed special relativity is discussed.

Abstract

We show that the running of gravitational couplings, together with a suitable identification of the renormalization group scale can give rise to modified dispersion relations for massive particles. This result seems to be compatible with both the frameworks of effective field theory with Lorentz invariance violation and deformed special relativity. The phenomenological consequences depend on which of the frameworks is assumed. We discuss the nature and strength of the available constraints for both cases and show that in the case of Lorentz invariance violation, the theory would be strongly constrained.