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Effective Field Theory and Applications: Weak Field Observables from Scattering Amplitudes in Quantum Field Theory

2022/12/17 by N. E. J. Bjerrum-Bohr, Bjerrum-Bohr, N. Emil J., Ludovic Planté +3 · 1 citation
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Quantum Electrodynamics and Casimir Effect #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.2212.08957

openalex publication_date 2022/12/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this chapter, we will review the field-theoretic treatment of General Relativity based on an effective field theory extension of the Einstein-Hilbert action. This pragmatic route to low-energy quantum effects in gravity critically underpins miscellaneous investigations of phenomenological and quantum extensions of General Relativity. We discuss how it allows quantum field theory to be a theoretical laboratory for testing Einstein's theory of gravity and demonstrate the current state of the art of an efficient and practical scheme for evaluating the classical components of perturbative weak-field scattering amplitudes until the fourth post-Minkowskian order. Such results complement numerical predictions in Einstein's theory of gravity.

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