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Graviton-Mediated Scattering Amplitudes from the Quantum Effective Action

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arxiv 2007.04396 v1 pith:Q4RNIQ57 submitted 2020-07-08 hep-th gr-qc

classification hep-thgr-qc
keywords quantumeffectivegravityactionamplitudesfieldframeworkgraviton-mediated
verification ladder T0 review T1 audit T2 compute T3 formal

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We employ the curvature expansion of the quantum effective action for gravity-matter systems to construct graviton-mediated scattering amplitudes for non-minimally coupled scalar fields in a Minkowski background. By design, the formalism parameterises all quantum corrections to these processes and is manifestly gauge-invariant. The conditions resulting from UV-finiteness, unitarity, and causality are analysed in detail and it is shown by explicit construction that the quantum effective action provides sufficient room to meet these structural requirements without introducing non-localities or higher-spin degrees of freedom. Our framework provides a bottom-up approach to all quantum gravity programs seeking for the quantisation of gravity within the framework of quantum field theory. Its scope is illustrated by specific examples, including effective field theory, Stelle gravity, infinite derivative gravity, and Asymptotic Safety.

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Cited by 4 Pith papers

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