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Related papers: General Relativity from Scattering Amplitudes

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We combine tools from effective field theory and generalized unitarity to construct a map between on-shell scattering amplitudes and the classical potential for interacting spinless particles. For general relativity, we obtain analytic…

High Energy Physics - Theory · Physics 2019-01-31 Clifford Cheung , Ira Z. Rothstein , Mikhail P. Solon

The post-Minkowskian expansion of Einstein's general theory of relativity has received much attention in recent years due to the possibility of harnessing the computational power of modern amplitude calculations in such a classical context.…

High Energy Physics - Theory · Physics 2022-06-22 N. E. J. Bjerrum-Bohr , P. H. Damgaard , L. Plante , P. Vanhove

We describe an efficient method for extracting the parts of $D$-dimensional loop integrals that are needed to derive observables in classical general relativity from scattering amplitudes. Our approach simplifies the soft-region method of…

High Energy Physics - Theory · Physics 2021-07-28 N. Emil J. Bjerrum-Bohr , Poul H. Damgaard , Ludovic Planté , Pierre Vanhove

In this thesis we present a study of the computation of classical observables in gauge theories and gravity directly from scattering amplitudes. In particular, we discuss the direct application of modern amplitude techniques in the one, and…

High Energy Physics - Theory · Physics 2022-08-02 Yilber Fabian Bautista

We develop a general formalism for computing classical observables for relativistic scattering of spinning particles, directly from on-shell amplitudes. We then apply this formalism to minimally coupled Einstein-gravity amplitudes for the…

High Energy Physics - Theory · Physics 2020-01-29 Ben Maybee , Donal O'Connell , Justin Vines

We extract the long-range gravitational potential between two scalar particles with arbitrary masses from the two-to-two elastic scattering amplitude at 2nd Post-Minkowskian order in arbitrary dimensions. In contrast to the four-dimensional…

High Energy Physics - Theory · Physics 2020-08-26 Andrea Cristofoli , Poul H. Damgaard , Paolo Di Vecchia , Carlo Heissenberg

We consider scattering in quantum gravity and derive long-range classical and quantum contributions to the scattering of light-like bosons and fermions (spin-0, spin-1/2, spin-1) from an external massive scalar field, such as the Sun or a…

High Energy Physics - Theory · Physics 2017-04-07 N. E. J. Bjerrum-Bohr , John F. Donoghue , Barry R. Holstein , Ludovic Plante , Pierre Vanhove

In this work the worldline quantum field theory (WQFT) approach to computing observables of the classical general relativistic two-body system is presented. Compact bodies such as black holes or neutron stars are described in an effective…

High Energy Physics - Theory · Physics 2023-08-09 Gustav Uhre Jakobsen

Scattering amplitudes have their origin in quantum field theory, but have wide-ranging applications extending to classical physics. We review a formalism to connect certain classical observables to scattering amplitudes. An advantage of…

High Energy Physics - Theory · Physics 2022-10-04 David A. Kosower , Ricardo Monteiro , Donal O'Connell

We describe the computation of post-Minkowskian Hamiltonians in General Relativity from scattering amplitudes. Using a relativistic Lippmann-Schwinger equation, we relate perturbative amplitudes of massive scalars coupled to gravity to the…

High Energy Physics - Theory · Physics 2019-10-23 Andrea Cristofoli , N. E. J. Bjerrum-Bohr , Poul H. Damgaard , Pierre Vanhove

We present a generalized unitarity method for theories of point-particle worldlines coupled to gravity, analogous to that of scattering amplitudes in quantum field theory. This method allows the computation of perturbative observables from…

High Energy Physics - Theory · Physics 2026-02-25 Vincent F. He , Julio Parra-Martinez

We present a general framework for calculating post-Minskowskian, classical, conservative Hamiltonians for $N$ non-spinning bodies in general relativity from relativistic scattering amplitudes. Novel features for $N>2$ are described…

High Energy Physics - Theory · Physics 2023-03-01 Callum R. T. Jones , Mikhail Solon

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…

High Energy Physics - Theory · Physics 2022-12-20 N. Emil J. Bjerrum-Bohr , Ludovic Planté , Pierre Vanhove

Using the implicit function theorem we demonstrate that solutions to the classical part of the relativistic Lippmann-Schwinger equation are in one-to-one correspondence with those of the energy equation of a relativistic two-body system. A…

High Energy Physics - Theory · Physics 2020-08-26 N. E. J. Bjerrum-Bohr , Andrea Cristofoli , Poul H. Damgaard

We treat general relativity as an effective field theory, obtaining the full nonanalytic component of the scattering matrix potential to one-loop order. The lowest order vertex rules for the resulting effective field theory are presented…

High Energy Physics - Theory · Physics 2014-11-18 N. E. J Bjerrum-Bohr , John F. Donoghue , Barry R. Holstein

This paper combines the post-Minkowskian expansion of general relativity with the language of intersection theory. Because of the nature of the soft limit inherent to the post-Minkowskian expansion, the intersection-based approach is of…

General Relativity and Quantum Cosmology · Physics 2024-09-04 Hjalte Frellesvig , Toni Teschke

The quantum field-theoretic approach to classical observables due to Kosower, Maybee and O'Connell provides a rigorous pathway from on-shell scattering amplitudes to classical perturbation theory. In this paper, we promote this formalism to…

High Energy Physics - Theory · Physics 2021-10-06 Rafael Aoude , Alexander Ochirov

We consider gravitational massive scalar-scalar scattering from unitarity and demonstrate how intermediate soft graviton behavior and the concept of extracting classical physics from localization of integrands on velocity cuts devise an…

High Energy Physics - Theory · Physics 2022-03-30 N. E. J. Bjerrum-Bohr , L. Plante , P. Vanhove

A technique for translating the classical scattering function of two gravitationally interacting bodies into a corresponding (effective one-body) Hamiltonian description has been recently introduced [Phys.\ Rev.\ D {\bf 94}, 104015 (2016)].…

General Relativity and Quantum Cosmology · Physics 2018-03-07 Thibault Damour

We compute the complete potential-graviton contributions to the conservative radial action and scattering angle for two non-spinning bodies in general relativity, accurate through fifth order in Newton's constant and including second-order…

High Energy Physics - Theory · Physics 2026-02-10 Zvi Bern , Enrico Herrmann , Radu Roiban , Michael S. Ruf , Alexander V. Smirnov , Sid Smith , Mao Zeng
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