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Treating general relativity as an effective field theory, we compute the leading-order quantum corrections to the orbits and gravitational-wave emission of astrophysical compact binaries. These corrections are independent of the (unknown)…

General Relativity and Quantum Cosmology · Physics 2018-11-28 Alexander C. Jenkins , Andreas G. A. Pithis , Mairi Sakellariadou

By combining the KMOC-formalism with the exponential representation of the scattering matrix we show that the two-body scattering angle is given by the corresponding matrix element of the exponential representation. This holds to all orders…

High Energy Physics - Theory · Physics 2023-08-22 Poul H. Damgaard , Elias Roos Hansen , Ludovic Planté , Pierre Vanhove

We introduce observables associated with the space-time position of a quantum point defined by the intersection of two light pulses. The time observable is canonically conjugated to the energy. Conformal symmetry of massless quantum fields…

Quantum Physics · Physics 2009-10-30 Marc-Thierry Jaekel , Serge Reynaud

We study one loop quantum gravitational corrections to the long range force induced by the exchange of a massless scalar between two massive scalars. The various diagrams contributing to the flat space S-matrix are evaluated in a general…

General Relativity and Quantum Cosmology · Physics 2017-11-22 S. P. Miao , T. Prokopec , R. P. Woodard

The real-time correlators of quantum field theories can be directly probed through new approaches to simulation, such as quantum computing and tensor networks. This provides a new framework for computing scattering observables in lattice…

High Energy Physics - Lattice · Physics 2026-03-27 Ivan M. Burbano , Marco A. Carrillo , Rana Urek , Anthony N. Ciavarella , Raúl A. Briceño

On-shell methods have found a new application to local observables such as asymptotic radiation fields and gravitational waveforms. While these observables are invariant under small gauge transformations, they are known to depend on a…

High Energy Physics - Theory · Physics 2024-12-19 Asaad Elkhidir , Donal O'Connell , Radu Roiban

We discuss the asymptotic behavior of regulated field commutators for linearly polarized, cylindrically symmetric gravitational waves and the mathematical techniques needed for this analysis. We concentrate our attention on the effects…

General Relativity and Quantum Cosmology · Physics 2017-02-01 J. Fernando Barbero G. , Guillermo A. Mena Marugán , Eduardo J. S. Villaseñor

Macroscopic observables in a quantum spin system are given by sequences of spatial means of local elements $\frac{1}{2n+1}\sum_{j=-n}^n\gamma_j(A_{i}), \; n\in{\mathbb N},\; i=1,...,m$ in a UHF algebra. One of their properties is that they…

Operator Algebras · Mathematics 2013-04-03 Yoshiko Ogata

We study the gravitational radiation emitted during the scattering of two spinless bodies in the post-Minkowskian Effective Field Theory approach. We derive the conserved stress-energy tensor linearly coupled to gravity and the classical…

General Relativity and Quantum Cosmology · Physics 2021-07-21 Stavros Mougiakakos , Massimiliano Maria Riva , Filippo Vernizzi

Linear perturbations on Minkowski space are used to probe numerically the remote region of an asymptotically flat space-time close to spatial infinity. The study is undertaken within the framework of Friedrich's conformal field equations…

General Relativity and Quantum Cosmology · Physics 2013-02-04 Florian Beyer , Georgios Doulis , Jörg Frauendiener , Ben Whale

The traditional $S$-matrix does not exist for theories with massless particles, such as quantum electrodynamics. The difficulty in isolating asymptotic states manifests itself as infrared divergences at each order in perturbation theory.…

High Energy Physics - Theory · Physics 2020-08-25 Holmfridur Hannesdottir , Matthew D. Schwartz

We investigate the fate of asymptotic simplicity in physically relevant settings of compact-object scattering. Using the stress tensor of a two-body system as a source, we compute the spacetime metric in General Relativity at finite…

High Energy Physics - Theory · Physics 2026-03-13 Stefano De Angelis , Aidan Herderschee , Radu Roiban , Fei Teng

Linearized gravitational waves in de Sitter space-time are analyzed in detail to obtain guidance for constructing the theory of gravitational radiation in presence of a positive cosmological constant in full, nonlinear general relativity.…

General Relativity and Quantum Cosmology · Physics 2015-09-02 Abhay Ashtekar , Béatrice Bonga , Aruna Kesavan

The asymptotic behavior of the scattering amplitude for two scalar particles at high energies with fixed momentum transfers is studied. The study is done within the effective theory of quantum gravity based on quasi-potential equation. By…

High Energy Physics - Theory · Physics 2019-10-23 Nguyen Suan Han , Do Thu Ha , Nguyen Nhu Xuan

The homogeneous and isotropic radiation dominated universe, following the inflationary stage, is expressed as a spherically symmetric and inhomogeneous spacetime upon a power law type conformal transformation of the null (cosmological)…

General Relativity and Quantum Cosmology · Physics 2018-05-24 Sujoy K. Modak

We compute the conserved charges associated with the asymptotic symmetries of massless particles by examining their free theory in Minkowski spacetime. We give a procedure to systematically deduce the fall off of the massless fields at…

High Energy Physics - Theory · Physics 2023-06-21 Kevin Nguyen , Peter West

We review the most recent progress in our understanding of quantum mechanical observables in cosmology in the perturbative regime. It relies on an approach that considers them directly as functions of the data at the space-like boundary at…

High Energy Physics - Theory · Physics 2022-12-07 Paolo Benincasa

We study the $2\rightarrow2$ $S$-matrix element of a generic, gapped and Lorentz invariant QFT in $d=1+1$ space time dimensions. We derive an analytical bound on the coupling of the asymptotic states to unstable particles (a.k.a.…

High Energy Physics - Theory · Physics 2018-09-26 N. Doroud , J. Elias Miró

We describe an on-shell, amplitudes-based approach to incorporating radiation absorption effects in the post-Minkowskian scattering of generic, compact, spinning bodies. Classical spinning observables are recovered by extrapolating to large…

High Energy Physics - Theory · Physics 2026-01-05 Juan Pablo Gatica , Callum R. T. Jones

We find that different asymptotic measurements in quantum field theory can be related to one another through new versions of crossing symmetry. Assuming analyticity, we conjecture generalized crossing relations for multi-particle processes…

High Energy Physics - Theory · Physics 2023-10-20 Simon Caron-Huot , Mathieu Giroux , Holmfridur S. Hannesdottir , Sebastian Mizera