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The self-force expansion allows the study of deviations from geodesic motion due to the emission of radiation and its consequent back-reaction. We investigate this scheme within the on-shell framework of semiclassical scattering amplitudes…

High Energy Physics - Theory · Physics 2024-01-25 Tim Adamo , Andrea Cristofoli , Anton Ilderton , Sonja Klisch

We derive covariant expressions for the one loop vacuum polarization induced by a charged scalar on de Sitter background. Two forms are employed: one in which two covariant derivatives act on de Sitter invariant basis tensors multiplied by…

General Relativity and Quantum Cosmology · Physics 2013-03-14 Katie E. Leonard , T. Prokopec , R. P. Woodard

Supergravity theories with non-minimal K\"ahler potentials are characterized by a non-trivial field space manifold with corresponding non-trivial kinetic terms. The scattering amplitudes in these theories can be calculated at fixed…

High Energy Physics - Theory · Physics 2023-02-14 Emilian Dudas , Tony Gherghetta , Keith A. Olive , Sarunas Verner

Quantum gravity is expected to contain descriptions of semiclassical spacetime geometries in quantum superpositions. To date, no framework for modelling such superpositions has been devised. Here, we provide a new phenomenological…

General Relativity and Quantum Cosmology · Physics 2021-05-11 Joshua Foo , Robert B. Mann , Magdalena Zych

It has been proposed recently to consider in the framework of cosmology an extension of the semiclassical Einstein's equations in which the Einstein tensor is considered as a random function. This paradigm yields a hierarchy of equations…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Claudio Dappiaggi , Alberto Melati

We study the momentum-space entanglement between the sub- and super-Hubble modes of a spectator scalar field, with a cubic $\lambda \phi^3$ interaction, in de Sitter space. Momentum-space entanglement has some universal properties for any…

High Energy Physics - Theory · Physics 2023-02-28 Suddhasattwa Brahma , Jaime Calderón-Figueroa , Moatasem Hassan , Xuan Mi

We prove small data energy estimates of all orders of differentiability between past null infinity and future null infinity of de Sitter space for the conformally invariant Maxwell-scalar field system. This allows us to construct bounded…

Analysis of PDEs · Mathematics 2025-07-17 Grigalius Taujanskas

The analytic structure of the flat-space S-matrix provides non-perturbative constraints on low-energy effective field theories based on the properties of high-energy theory. While the analytic structure of the flat-space S-matrix is well…

High Energy Physics - Theory · Physics 2026-01-06 Jason Kristiano , Ryo Namba , Atsushi Naruko , Ryo Saito , Daisuke Yamauchi

In flat space, the scattering amplitudes of certain scalar effective field theories exhibit enhanced soft limits due to the presence of hidden symmetries. In this paper, we show that this phenomenon extends to wavefunction coefficients in…

High Energy Physics - Theory · Physics 2022-12-15 Connor Armstrong , Arthur Lipstein , Jiajie Mei

We summarize and expand our investigations concerning the soft graviton effects on microscopic matter dynamics in de Sitter space. The physical couplings receive IR logarithmic corrections which are sensitive to the IR cut-off at the…

High Energy Physics - Theory · Physics 2014-03-31 Hiroyuki Kitamoto , Yoshihisa Kitazawa

In the framework of finite temperature conformal scalar field theory on de Sitter space-time the linearized Einstein equations for the renormalized stress tensor are exactly solved. In this theory quantum field fluctuations are concentrated…

General Relativity and Quantum Cosmology · Physics 2010-04-06 D. V. Fursaev , G. Miele

We consider the relativistic scattering of unequal-mass scalar particles through graviton exchange in the small-angle high-energy regime. We show the self-consistency of expansion around the eikonal limit and compute the scattering…

High Energy Physics - Theory · Physics 2021-03-24 Ratindranath Akhoury , Ryo Saotome , George Sterman

We study the scattering problem in the static patch of de Sitter space, i.e. the problem of field evolution between the past and future horizons of a de Sitter observer. We calculate the leading-order scattering for a conformally massless…

High Energy Physics - Theory · Physics 2021-03-31 Emil Albrychiewicz , Yasha Neiman

We explicitly compute the tree-level on-shell four-graviton amplitudes in four, five and six dimensions for local and weakly nonlocal gravitational theories that are quadratic in both, the Ricci and scalar curvature with form factors of the…

High Energy Physics - Theory · Physics 2015-09-30 Pietro Donà , Stefano Giaccari , Leonardo Modesto , Leslaw Rachwal , Yiwei Zhu

We outline the program to apply modern quantum field theory methods to calculate observables in classical general relativity through a truncation to classical terms of the multi-graviton two-body on-shell scattering amplitudes between…

High Energy Physics - Theory · Physics 2018-10-31 N. E. J. Bjerrum-Bohr , Poul H. Damgaard , Guido Festuccia , Ludovic Planté , Pierre Vanhove

In this paper, we present a simple and iterative algorithm that computes Anti-de Sitter space scattering amplitudes. We focus on the vector correlators in AdS in four dimensions in momentum space. These new combinatorial relations will…

High Energy Physics - Theory · Physics 2020-01-24 Soner Albayrak , Chandramouli Chowdhury , Savan Kharel

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

General Relativity is known to produce singularities in the potential generated by a point source. Our universe can be modelled as a de Sitter (dS) metric and we show that ghost-free Infinite Derivative Gravity (IDG) produces a non-singular…

General Relativity and Quantum Cosmology · Physics 2018-04-06 James Edholm

De Sitter spacetime can be separated into two parts along two kinds of hypersurfaces and the half-de Sitter spacetimes are covered by the planar and hyperbolic coordinates respectively. Two positive energy theorems were proved previously…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Zhuobin Liang , Xiao Zhang

We construct the graviton propagator on de Sitter background in exact de Donder gauge. We prove that it must break de Sitter invariance, just like the propagator of the massless, minimally coupled scalar. Our explicit solutions for its two…

General Relativity and Quantum Cosmology · Physics 2011-12-30 S. P. Miao , N. C. Tsamis , R. P. Woodard