Abstract
We report on the status of an ongoing effort to calculate the complete one-loop low-energy effective actions in Einstein-Maxwell theory with a massive scalar or spinor loop, and to use them for obtaining the explicit form of the corresponding M-graviton/N-photon amplitudes. We present explicit results for the effective actions at the one-graviton four-photon level, and for the amplitudes at the one-graviton two-photon level. As expected on general grounds, these amplitudes relate in a simple way to the corresponding four-photon amplitudes. We also derive the gravitational Ward identity for the 1PI one-graviton-N photon amplitude.
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Bastianelli, F., Corradini, O., Dávila, J.M. et al. Photon-graviton amplitudes from the effective action. Phys. Part. Nuclei 43, 630–634 (2012). https://doi.org/10.1134/S1063779612050036
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DOI: https://doi.org/10.1134/S1063779612050036