Non-linear Electrodynamics from Massive Gravity

TL;DR

This paper explores how integrating out a massive graviton in ghost-free dRGT massive gravity yields duality-invariant vector interactions, including the Born-Infeld theory, revealing a deep connection between massive gravity and non-linear electrodynamics.

Contribution

It establishes a link between massive gravity and non-linear electrodynamics by deriving duality-invariant photon interactions from graviton exchange, highlighting the emergence of Born-Infeld theory.

Findings

Massive graviton exchange induces duality-invariant vector interactions.

Born-Infeld theory naturally arises from a simple graviton potential.

The work connects massive gravity with non-linear electrodynamics.

Abstract

As a counterpart to the four-fermion interaction, which describes massive vector exchange at low energies, we investigate the low energy effective action of photons under exchange of a massive graviton. We show how integrating out a massive graviton leads to the most general duality-invariant vector interactions in 4D or, vice versa, how any such interactions have a natural interpretation within massive gravity. Moreover, we demonstrate how the special case of Born-Infeld theory arises from arguably the simplest graviton potential within ghost-free dRGT massive gravity.