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The infrared behavior of perturbative quantum gravity is studied using the method developed for QED by Faddeev and Kulish. The operator describing the asymptotic dynamics is derived and used to construct an IR-finite S matrix and space of…

High Energy Physics - Theory · Physics 2015-06-17 John Ware , Ryo Saotome , Ratindranath Akhoury

Asymptotic Safety implies that observables including scattering amplitudes remain finite at the highest energy scales. Traditionally, this feature is connected to an interacting fixed point of the Wilsonian renormalization group that…

High Energy Physics - Theory · Physics 2022-10-31 Benjamin Knorr , Chris Ripken , Frank Saueressig

We give a detailed study of the asymptotic behavior of field commutators for linearly polarized, cylindrically symmetric gravitational waves in different physically relevant regimes. We also discuss the necessary mathematical tools to carry…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. Fernando Barbero G. , Guillermo A. Mena Marugán , Eduardo J. S. Villaseñor

We continue our work on the study of spherically symmetric loop quantum gravity coupled to two spherically symmetric scalar fields, one that acts as a clock. As a consequence of the presence of the latter, we can define a true Hamiltonian…

General Relativity and Quantum Cosmology · Physics 2024-02-07 Rodolfo Gambini , Jorge Pullin

We consider time dependent harmonic oscillators and construct a parametrix to the corresponding Schr\"odinger equation using Gaussian wavepackets. This parametrix of Gaussian wavepackets is precise and tractable. Using this parametrix we…

Analysis of PDEs · Mathematics 2022-05-31 Alden Waters

A series of sigma models with torsion are analysed which generate their mass dynamically but whose ultra-violet fixed points are non-trivial conformal field theories -- in fact SU(2) WZW models at level $k$. In contrast to the more familiar…

High Energy Physics - Theory · Physics 2009-10-28 Jonathan M. Evans , Timothy J. Hollowood

By directly probing the initial conditions of our universe, cosmological surveys offer us a unique observational handle on quantum field theory in curved spacetime with dynamical gravity and might even allow us to glean information about a…

We propose a new framework to represent the perturbative S-matrix which is well-defined for all quantum field theories of massless particles, constructed from tree-level amplitudes and integrable term-by-term. This representation is derived…

High Energy Physics - Theory · Physics 2016-02-17 Christian Baadsgaard , N. E. J. Bjerrum-Bohr , Jacob L. Bourjaily , Simon Caron-Huot , Poul H. Damgaard , Bo Feng

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

We propose a general construction of an observable measuring the time of occurence of an effect in quantum theory. Time delay in potential scattering is computed as a straightforward application.

Quantum Physics · Physics 2009-11-07 Romeo Brunetti , Klaus Fredenhagen

The construction of amplitudes on curved space-times is a major challenge, particularly when the background has non-constant curvature. We give formulae for all tree-level graviton scattering amplitudes in curved self-dual radiative…

High Energy Physics - Theory · Physics 2023-05-11 Tim Adamo , Lionel Mason , Atul Sharma

We present a formalism for computing classically measurable quantities directly from on-shell quantum scattering amplitudes. We discuss the ingredients needed for obtaining the classical result, and show how to set up the calculation to…

High Energy Physics - Theory · Physics 2019-03-27 David A. Kosower , Ben Maybee , Donal O'Connell

We compute leading order quantum gravity contributions to a simple scalar scattering amplitude in Asymptotic Safety. Our model admits an analytic treatment so that several subtleties can be analysed. We find that (i) the existence of an…

High Energy Physics - Theory · Physics 2026-03-18 Benjamin Knorr

We study the classical dynamics of spinning particles using scattering amplitudes and eikonal exponentiation. We show that observables are determined by a simple algorithm. A wealth of complexity arises in perturbation theory as positions,…

High Energy Physics - Theory · Physics 2024-08-20 Andres Luna , Nathan Moynihan , Donal O'Connell , Alasdair Ross

In a previous Letter, we showed that physical scattering observables for compact spinning objects in general relativity can depend on additional degrees of freedom in the spin tensor beyond those described by the spin vector alone. In this…

High Energy Physics - Theory · Physics 2025-12-22 Mark Alaverdian , Zvi Bern , Dimitrios Kosmopoulos , Andres Luna , Radu Roiban , Trevor Scheopner , Fei Teng

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

We extend the T-matrix approach to light scattering by spherical particles to some simple cases in which the scatterers are optically anisotropic. Specifically we consider cases in which the spherical particles include radially and…

Optics · Physics 2009-11-07 A. D. Kiselev , V. Yu Reshetnyak , T. J. Sluckin

We continue our work on the study of spherically symmetric loop quantum gravity coupled to two spherically symmetric scalar fields, one which acts as a clock. As a consequence of the presence of the latter, we can define a true Hamiltonian…

General Relativity and Quantum Cosmology · Physics 2023-11-21 Rodolfo Gambini , Jorge Pullin

In relativistic physics, angular momentum is paired with a lesser known conserved quantity, the "mass moment", which appears as the time-space components of the angular momentum tensor. Calculations of mass moment in electromagnetic and…

General Relativity and Quantum Cosmology · Physics 2026-05-12 Samuel E. Gralla , Kunal Lobo , Hongji Wei

We present a systematic diagrammatic investigation of the classical limit of observables computed from scattering amplitudes in quantum field theory through the Kosower-Maybee-O'Connell (KMOC) formalism, motivated by the study of…

High Energy Physics - Theory · Physics 2025-07-01 Zeno Capatti , Mao Zeng