Eur. Phys. J. C (2019) 79: 590
https://doi.org/10.1140/epjc/s10052-019-7105-9

Letter

Frequency variation for in vacuo photon propagation in the Standard-Model Extension

¹ Departamento de Astrofísica, Cosmologia e Interações Fundamentais (COSMO), Centro Brasileiro de Pesquisas Físicas (CBPF), Rua Xavier Sigaud 150, Urca, Rio de Janeiro, RJ, 22290-180, Brasil
² Observatoire des Sciences de l’Univers en région Centre (OSUC) UMS 3116, Université d’Orléans, 1A rue de la Férollerie, 45071, Orléans, France
³ Collegium Sciences et Techniques (CoST), Pôle de Physique, Université d’Orléans, Rue de Chartres, 45100, Orléans, France
⁴ Laboratoire de Physique et Chimie de l’Environnement et de l’Espace (LPC2E) UMR 7328, Centre National de la Recherche Scientifique (CNRS), Campus CNRS, 3A Avenue de la Recherche Scientifique, 45071, Orléans, France

^* e-mail: spallicci@cnrs-orleans.fr

Received: 26 April 2019
Accepted: 2 July 2019
Published online: 12 July 2019

Abstract

In the presence of Lorentz Symmetry Violation (LSV) associated with the Standard-Model Extension (SME), we have recently shown the non-conservation of the energy-momentum tensor of a light-wave crossing an Electro-Magnetic (EM) background field even when the latter and the LSV are constant. Incidentally, for a space-time dependent LSV, the presence of an EM field is not necessary. Herein, we infer that in a particle description, the energy non-conservation for a photon implies violation of frequency invariance in vacuo, giving rise to a red or blue shift. We discuss the potential consequences on cosmology.