Reassessing aspects of the photon's LQG-modified dispersion relations

TL;DR

This paper investigates how Loop Quantum Gravity modifies electromagnetic dispersion relations, affecting wave propagation, optical properties, and particle interactions, revealing nonlinear effects in photon wavelengths and potential observable consequences.

Contribution

It introduces a post-Maxwellian electromagnetic model incorporating LQG effects, analyzing their impact on classical quantities, wave propagation, and the kinematics of the Compton effect.

Findings

LQG parameters influence stress-tensor components

Optical properties of the QED vacuum are altered by LQG effects

Nonlinear wavelength profiles emerge in Compton scattering

Abstract

Our present contribution sets out to investigate a scenario based on the effects of the Loop Quantum Gravity (LQG) on the electromagnetic sector of the Standard Model of Fundamental Interactions and Particle Physics (SM). Starting then from a post-Maxwellian version of Electromagnetism that includes LQG effects, we work out and discuss the influence of LQG parameters on classical quantities, such as the components of the stress-tensor. Furthermore, we inspect the propagation of electromagnetic waves and study optical properties of the QED vacuum in this scenario. Among these, we contemplate the combined effect between the LQG parameters and a homogeneous background magnetic field on the propagation of electromagnetic waves, considering in detail issues like group velocities and refractive indices of the QED vacuum. Finally, with the help of the LQG-extended photonic dispersion relations previously analyzed, we re-discuss the kinematics of the Compton effect and conclude that there emerges an interesting nonlinear profile in the wavelengths of both the incoming and the deflected photons.