Particle propagation and effective space-time in Gravity's Rainbow

TL;DR

This paper investigates quantum corrections to space-time metrics in Gravity's Rainbow, revealing that such effects can influence particle propagation even at low energies near Planck scales, with potential implications for superluminal neutrino observations.

Contribution

It provides a detailed analysis of quantum modifications to Schwarzschild and de Sitter metrics within Gravity's Rainbow, highlighting effects at low energies due to one-loop contributions.

Findings

Quantum corrections affect test particle propagation.

Effects are significant at Planckian length scales.

Comparison with superluminal neutrino results.

Abstract

Basing on the results obtained in a our previous study on Gravity's Rainbow, we determine the quantum corrections to the space-time metric for the Schwarzschild and the de Sitter background, respectively. We analyze how quantum fluctuations alter these metrics inducing modifications on the propagation of test particles. Significantly enough we find that quantum corrections can become relevant not only for particles approaching the Planck energy but, due to the one loop contribution, even for low-energy particles as far as Planckian length scales are considered. We briefly compare our results with others obtained in similar studies and with the recent experimental OPERA announcement of superluminal neutrino propagation.