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Any non-trivial scattering with massless fields in four spacetime dimensions will generically produce an out-state with memory. Scattering with any massless fields violates the standard assumption of asymptotic completeness -- that all "in"…

High Energy Physics - Theory · Physics 2024-11-04 Kartik Prabhu , Gautam Satishchandran

Quantum gravity has long been thought to be completely decoupled from experiments or observations. Although it is true that smoking guns are still missing, there are now serious hopes that quantum gravity phenomena might be tested. We…

General Relativity and Quantum Cosmology · Physics 2015-10-29 A. Barrau , J. Grain

A pedagogical description of a simple ungeometrical approach to General Relativity is given, which follows the pattern of well understood field theories, such as electrodynamics. This leads quickly to most of the important weak field…

Astrophysics · Physics 2007-05-23 Norbert Straumann

We examine the properties of observables in the Kazakov-Migdal model. We present explicit formulae for the leading asymptotics of adjoint Wilson loops as well as some other observables for the model with a Gaussian potential. We discuss the…

High Energy Physics - Theory · Physics 2015-06-26 M. Dobroliubov , A. Morozov , G. Semenoff , N. Weiss

By converting the Asymptotic Bethe Ansatz (ABA) of ${\cal N}=4$ SYM into non-linear integral equations, we find 2D scattering amplitudes of excitations on top of the GKP vacuum. We prove that this is a suitable and powerful set-up for the…

High Energy Physics - Theory · Physics 2015-06-16 Davide Fioravanti , Simone Piscaglia , Marco Rossi

We compute the four-momentum radiated during the scattering of two spinless bodies, at leading order in the Newton's contant $G$ and at all orders in the velocities, using the Effective Field Theory worldline approach. Following…

High Energy Physics - Theory · Physics 2022-07-29 Massimiliano Maria Riva , Filippo Vernizzi

We address the construction and interpretation of diffeomorphism-invariant observables in a low-energy effective theory of quantum gravity. The observables we consider are constructed as integrals over the space of coordinates, in analogy…

High Energy Physics - Theory · Physics 2009-09-29 Steven B. Giddings , Donald Marolf , James B. Hartle

This paper develops asymptotic theory of integrals of empirical quantile functions with respect to random weight functions, which is an extension of classical $L$-statistics. They appear when sample trimming or Winsorization is applied to…

Statistics Theory · Mathematics 2019-10-18 Tetsuya Kaji

The construction of a theory of quantum gravity is an outstanding problem that can benefit from better understanding the laws of nature that are expected to hold in regimes currently inaccessible to experiment. Such fundamental laws can be…

High Energy Physics - Theory · Physics 2020-03-17 Friedrich Schöller

The need to determine scattering amplitudes of few-hadron systems for arbitrary kinematics expands a broad set of subfields of modern-day nuclear and hadronic physics. In this work, we expand upon previous explorations on the use of…

High Energy Physics - Lattice · Physics 2024-07-31 Marco A. Carrillo , Raúl A. Briceño , Alexandru M. Sturzu

We formulate a new concept of asymptotic completeness for two-dimensional massless quantum field theories in the spirit of the theory of particle weights. We show that this concept is more general than the standard particle interpretation…

Mathematical Physics · Physics 2013-09-04 Wojciech Dybalski , Yoh Tanimoto

We present a new method for computing multi-loop scattering amplitudes in Quantum Field Theory. It extends the Generalized Unitarity method by constraining not only the integrand of the amplitude but also its full integrated form. Our…

High Energy Physics - Theory · Physics 2025-12-18 Piotr Bargiela

We study a wide class of metrics in a Lebesgue space with a standard measure, the class of so-called admissible metrics. We consider the cone of admissible metrics, introduce a special norm in it, prove compactness criteria, define the…

Dynamical Systems · Mathematics 2012-10-26 A. Vershik , F. Petrov , P. Zatitskiy

We investigate a time harmonic acoustic scattering problem by a penetrable inclusion with compact support embedded in the free space. We consider cases where an observer can produce incident plane waves and measure the far field pattern of…

Analysis of PDEs · Mathematics 2015-06-23 Anne-Sophie Bonnet-Ben Dhia , Lucas Chesnel , Sergei A. Nazarov

In quantum measurement theory, a measurement scheme describes how an observable of a given system can be measured indirectly using a probe. The measurement scheme involves the specification of a probe theory, an initial probe state, a probe…

Mathematical Physics · Physics 2023-04-26 Christopher J. Fewster , Ian Jubb , Maximilian H. Ruep

Phase-space descriptions are used to find qualitative features of the solutions of generalized scalar field cosmologies with arbitrary potentials and arbitrary couplings to matter. Previous results are summarized and new ones are presented…

General Relativity and Quantum Cosmology · Physics 2020-12-01 Genly Leon , Felipe Orlando Franz Silva

We compute the graviton-mediated two-to-two scattering amplitude and cross section for scalar particles in asymptotically safe quantum gravity. Specifically, we compute the full momentum dependence of the scalar-graviton three-point…

High Energy Physics - Theory · Physics 2026-03-12 Angelo P. Chiesa , Jan M. Pawlowski , Manuel Reichert

In order to find the correct theory of quantum gravity, one has to look for observational effects in any candidate theory. Here, we focus on canonical quantum gravity and calculate the quantum-gravitational contributions to the anisotropy…

General Relativity and Quantum Cosmology · Physics 2016-05-20 Manuel Kraemer

Determining range, Doppler and astrometric observables is of crucial interest for modelling and analyzing space observations. We recall how these observables can be computed when the travel time of a light ray is known as a function of the…

General Relativity and Quantum Cosmology · Physics 2014-12-11 A. Hees , S. Bertone , C. Le Poncin-Lafitte , P. Teyssandier

An exact formula is derived for the infrared singularities of dimensionally regularized scattering amplitudes in massless QCD with an arbitrary number of legs, valid at any number of loops. It is based on the conjecture that the…

High Energy Physics - Phenomenology · Physics 2013-10-23 Thomas Becher , Matthias Neubert
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