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It has been proposed to study the theory resulting from setting the gravitational constant to zero in the first order formalism for general relativity. In this letter we investigate this theory in the presence of matter fields, establish…

General Relativity and Quantum Cosmology · Physics 2009-10-31 N. Barros e Sa , I. Bengtsson

Scattering theory in the Gell-Mann and Goldberger formulation is slightly extended to render a Hamiltonian quantum mechanical description of the neutrino oscillations.

High Energy Physics - Phenomenology · Physics 2012-06-14 Stanisław D. Głazek , Arkadiusz P. Trawiński

The interaction between three photons is studied in de Sitter ambient space formalism. As a special case the half harmonic generator is considered, {\it i.e.} one photon decays to two same-energy photons. The scattering matrix elements are…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Y. Ahmadi , M. V. Takook

We give a short description of the proof of asymptotic-completeness for NLS-type equations, including time dependent potential terms, with radial data in three dimensions. We also show how the method applies for the two-body Quantum…

Analysis of PDEs · Mathematics 2020-12-29 Baoping Liu , Avy Soffer

Gravitational waves provide a unique window into gravity, cosmology, and high-energy physics, enabling the exploration of fundamental phenomena across a wide range of scales. This review presents a coherent and pedagogical framework that…

General Relativity and Quantum Cosmology · Physics 2025-12-25 Azadeh Maleknejad

In this review we describe a non-trivial relationship between perturbative gauge theory and gravity scattering amplitudes. At the semi-classical or tree level, the scattering amplitudes of gravity theories in flat space can be expressed as…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Zvi Bern

We study gravitational radiation for a positive value of the cosmological constant $\Lambda$. We rely on two battle-tested procedures: (i) We start from the same null coordinate system used by Bondi and Sachs for $\Lambda = 0$, but,…

General Relativity and Quantum Cosmology · Physics 2023-09-11 Béatrice Bonga , Claudio Bunster , Alfredo Pérez

The Lagrangian formulation of Gravitoelectromagnetism (GEM) theory is considered. GEM is a gravitational theory constructed based on the similarities between gravity and electromagnetism. In this framework, we investigate gravitational…

General Relativity and Quantum Cosmology · Physics 2025-02-20 L. A. S. Evangelista , A. F. Santos

We outline a global approach to scattering theory in one dimension that allows for the description of a large class of scattering systems and their $\mathcal{P}$-, $\mathcal{T}$-, and $\mathcal{P}\mathcal{T}$-symmetries. In particular, we…

Quantum Physics · Physics 2019-01-25 Ali Mostafazadeh

We develop a transfer-matrix formulation of the scattering of electromagnetic waves by a general isotropic medium which makes use of a notion of electromagnetic transfer matrix $\mathbf{M}$ that does not involve slicing of the scattering…

Quantum Physics · Physics 2020-09-24 Farhang Loran , Ali Mostafazadeh

These talks present an overview of a tentative theory of large distance physics. For each large distance L (in dimensionless units), the theory gives two complementary descriptions of spacetime physics: quantum field theory at distances…

High Energy Physics - Theory · Physics 2007-05-23 Daniel Friedan

Causal set theory is an approach to quantum gravity in which spacetime is fundamentally discrete at the Planck scale and takes the form of a Lorentzian lattice, or "causal set", from which continuum spacetime emerges in a large-scale…

High Energy Physics - Theory · Physics 2024-05-15 Emma Albertini , Fay Dowker , Arad Nasiri , Stav Zalel

The interactions of gravitons with spin-1 matter are calculated in parallel with the well known photon case. It is shown that graviton scattering amplitudes can be factorized into a product of familiar electromagnetic forms, and cross…

General Relativity and Quantum Cosmology · Physics 2017-04-07 N. E. J. Bjerrum-Bohr , Barry R. Holstein , John F. Donoghue , Ludovic Planté , Pierre Vanhove

Classical soft graviton theorem gives the gravitational wave-form at future null infinity at late retarded time $u$ for a general classical scattering. The large $u$ expansion has three known universal terms: the constant term, the term…

High Energy Physics - Theory · Physics 2022-02-02 Biswajit Sahoo , Ashoke Sen

Nonperturbative polaron variational methods are applied, within the so-called particle or worldline representation of relativistic field theory, to study scattering in the context of the scalar Wick - Cutkosky model. Important features of…

Nuclear Theory · Physics 2009-10-30 C. Alexandrou , R. Rosenfelder , A. W. Schreiber

The emission of electromagnetic waves from a source within or near a non-trivial medium (with or without boundaries, crystalline or amorphous, with inhomogeneities, absorption and so on) is sometimes studied using the reciprocity principle.…

Classical Physics · Physics 2016-09-08 Ariel Caticha

In the present work, we adopt a nonlinear scalar field theory coupled to the gravity sector to model galactic dark matter. We found analytical solutions for the scalar field coupled to gravity in the Newtonian limit, assuming an isotropic…

General Relativity and Quantum Cosmology · Physics 2021-05-19 R. A. C. Correa , P. H. R. S. Moraes , A. de Souza Dutra , O. L. Dors , W. de Paula , T. Frederico

We construct a perturbative framework for understanding the collision of solitons (more precisely, solitary waves) in relativistic scalar field theories. Our perturbative framework is based on the suppression of the space-time interaction…

High Energy Physics - Theory · Physics 2013-12-04 Mustafa A. Amin , Eugene A. Lim , I-Sheng Yang

We construct a complete conformal scattering theory for finite energy Maxwell potentials on a class of curved, asymptotically flat spacetimes with prescribed smoothness of null infinity and a non-zero ADM mass. In order to define the full…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Jean-Philippe Nicolas , Grigalius Taujanskas

The concepts of Lorentz invariance of local (flat space) physics, and unitarity of time evolution and the S-matrix, are famously rigid and robust, admitting no obvious consistent theoretical deformations, and confirmed to incredible…

High Energy Physics - Theory · Physics 2018-11-06 Nima Arkani-Hamed , Paolo Benincasa