Electrodynamics with an Infrared Scale and PVLAS experiment

TL;DR

This paper explores how infrared Lorentz violation could relate to PVLAS experimental results, connecting an axial-like-particle theory with electrodynamics at low energies, and deriving bounds on the infrared scale and axion-photon coupling.

Contribution

It establishes a relation between axial-like-particle theory and electrodynamics with an infrared scale, providing bounds based on PVLAS data.

Findings

Infrared scale |θ| ≤ 5.4 × 10^{-7} meV

Inverse axion-photon coupling |M^{-1}| ≈ 1.2 × 10^{-3} GeV^{-1}

Connection between magnetic field, coupling, and infrared scale

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 $|\vec \theta|$, the inverse axion-photon coupling constant $M^{-1}$ and the external magnetic field ${\vec B}$ can be connected through the formula $|{\vec \theta}|= {|\vec B|}/M$. Our analysis, which only requires a non-dynamical (auxiliar) axial-like field leads to $|{\vec\theta}| \leq 5.4 \times 10^{-7}$ meV and $M^{-1} \sim 1.2 \times 10^{-3}$ GeV $^{-1}$.