One loop photon-graviton mixing in an electromagnetic field: Part 2
F. Bastianelli, U. Nucamendi, C. Schubert, V.M. Villanueva

TL;DR
This paper analyzes the polarization components of one-loop photon-graviton mixing amplitudes in constant electromagnetic fields, providing explicit formulas for specific limiting cases, advancing understanding of quantum field interactions.
Contribution
It extends previous work by deriving explicit expressions for polarization components of the photon-graviton amplitude in various limiting scenarios.
Findings
Explicit formulas for polarization components in certain limits
Enhanced understanding of photon-graviton interactions in electromagnetic fields
Quantitative analysis of amplitude structure
Abstract
In part 1 of this series compact integral representations had been obtained for the one-loop photon-graviton amplitude involving a charged spin 0 or spin 1/2 particle in the loop and an arbitrary constant electromagnetic field. In this sequel, we study the structure and magnitude of the various polarization components of this amplitude on-shell. Explicit expressions are obtained for a number of limiting cases.
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