Photon-graviton mixing in an electromagnetic field
F. Bastianelli, U. Nucamendi, C. Schubert, V.M. Villanueva

TL;DR
This paper investigates photon-graviton mixing in an external electromagnetic field using the worldline formalism to derive exact one-loop amplitude corrections for scalars and fermions, exploring various limiting cases.
Contribution
It introduces an exact integral representation for one-loop corrections to photon-graviton mixing amplitudes using the worldline formalism, including scalars and fermions.
Findings
Derived exact expressions for the amplitude in different limits
Provided a new computational approach for photon-graviton mixing
Enhanced understanding of quantum corrections in Einstein-Maxwell theory
Abstract
Einstein-Maxwell theory implies the mixing of photons with gravitons in an external electromagnetic field. This process and its possible observable consequences have been studied at tree level for many years. We use the worldline formalism for obtaining an exact integral representation for the one-loop corrections to this amplitude due to scalars and fermions. We study the structure of this amplitude, and obtain exact expressions for various limiting cases.
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