Electrodynamics with an Infrared Scale and PVLAS experiment

Abstract

We consider an infrared Lorentz violation in connection with recent results of PVLAS experiment. Our analysis is based in a relation that can be established, under certain conditions, between an axial-like-particle theory and electrodynamics with an infrared scale. In the PVLAS case, the conditions imply two dispersion relations such that the infrared scale $|\vec{\hat{I}}¸|$, the inverse axion-photon coupling constant $M^{-1}$ and the external magnetic field $\vec{B}$ can be connected through the formula $|\vec{\hat{I}}¸|=|\vec{B}|/M$. Our analysis, which only requires a non-dynamical (auxiliar) axial-like field leads to $|\vec{\hat{I}}¸|\le 5.4\times 10^{-7}$ meV and $M^{-1}\sim 1.2\times 10^{-3}$ GeV ${}^{-1}$.

Revtex, 4pp