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.
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Acknowledgments
The authors would like to thank Tomáš Brauner, Christian Ferko, Karol Kampf, Sergei Kuzenko, Johannes Lahnsteiner, Gabriele Mazzucchelli, Guilherme Pimentel, Liam Smith and Dmitri Sorokin for useful discussions and insightful comments. TF is supported by the Fundamentals of the Universe research program within the University of Groningen. The Mathematica packages xAct [46] and xTras [47] were used extensively in the course of this work.
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Flöss, T., Roest, D. & Westerdijk, T. Non-linear electrodynamics from massive gravity. J. High Energ. Phys. 2024, 194 (2024). https://doi.org/10.1007/JHEP02(2024)194
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DOI: https://doi.org/10.1007/JHEP02(2024)194