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We consider asymptotic observables in quantum field theories in which the S-matrix makes sense. We argue that in addition to scattering amplitudes, a whole compendium of inclusive observables exists where the time-ordering is relaxed. These…

High Energy Physics - Theory · Physics 2023-12-15 Simon Caron-Huot , Mathieu Giroux , Holmfridur S. Hannesdottir , Sebastian Mizera

Asymptotic observables in quantum field theory beyond the familiar $S$-matrix have recently attracted much interest, for instance in the context of gravity waveforms. Such observables can be understood in terms of Schwinger-Keldysh-type…

High Energy Physics - Theory · Physics 2024-09-03 Leron Borsten , Simon Jonsson , Hyungrok Kim

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 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

These lecture notes explain how classical gravitational physics emerges from scattering amplitudes. We emphasize the role of different kinematic regimes in probing various aspects of bound and unbound problems, as illustrated by the…

The meaning of local observables is poorly understood in gauge theories, not to speak of quantum gravity. As a step towards a better understanding we study asymptotic (infrared) transformation in local quantum physics. Our observables are…

High Energy Physics - Theory · Physics 2017-04-24 M. Asorey , A. P. Balachandran , F. Lizzi , G. Marmo

Motivated by connections with observable phenomena, in particular with soft factorization theorems for scattering amplitudes and with memory effects, renewed interest has been recently shown in the subject of asymptotic symmetries at null…

High Energy Physics - Theory · Physics 2019-11-28 Carlo Heissenberg

These notes provide an overview of real-time techniques in quantum field theories and holography. We outline the general rationale and principles underlying the Schwinger-Keldysh formalism and its out-of-time-order generalizations. To…

High Energy Physics - Theory · Physics 2024-10-15 Felix M. Haehl , Mukund Rangamani

You might've heard about various mathematical properties of scattering amplitudes such as analyticity, sheets, branch cuts, discontinuities, etc. What does it all mean? In these lectures, we'll take a guided tour through simple scattering…

High Energy Physics - Theory · Physics 2023-11-20 Sebastian Mizera

We construct a new type of S-matrix in quantum field theory using the general boundary formulation. In contrast to the usual S-matrix the space of free asymptotic states is located at spatial rather than at temporal infinity. Hence, the new…

High Energy Physics - Theory · Physics 2008-11-26 Daniele Colosi , Robert Oeckl

We initiate the S-matrix bootstrap analysis of theories with non-invertible symmetries in (1+1) dimensions. Our previous work showed that crossing symmetry of S-matrices in such theories is modified, with modification characterized by the…

High Energy Physics - Theory · Physics 2024-11-04 Christian Copetti , Lucia Cordova , Shota Komatsu

We consider the adiabatic limit in quantum mechanics with several avoided crossings. We compute the interferences effects uniformly w.r. to the gaps and the adiabatic parameter. This way we get the asymoptotic expansion of the global…

Mathematical Physics · Physics 2011-03-09 Yves Colin De Verdière

Infrared divergences obscure important analytic properties of scattering amplitudes, indicating gaps in our understanding of unitarity, causality, and crossing symmetry in theories with long-range forces. Using the exactly solvable model of…

High Energy Physics - Theory · Physics 2025-05-09 Luke Lippstreu

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 study conditions for the existence of asymptotic observables in cosmology. With the exception of de Sitter space, the thermal properties of accelerating universes permit arbitrarily long observations, and guarantee the production of…

High Energy Physics - Theory · Physics 2009-11-10 Raphael Bousso

Infrared divergences in QED and other theories with massless particles show that in such theories the $S$ matrix cannot be defined in the usual way. Typically, this is not viewed as a big problem since one is interested in cross sections,…

High Energy Physics - Theory · Physics 2017-03-14 Cesar Gomez , Mischa Panchenko

Viewing gravitational energy-momentum as equal by observation, but different in essence from inertial energy-momentum naturally leads to the gauge theory of volume-preserving diffeormorphisms of an inner Minkowski space. The generalized…

Mathematical Physics · Physics 2015-06-04 C. Wiesendanger

We review recent results on the existence of asymptotic observables in algebraic QFT. The problem of asymptotic completeness is discussed from this perspective.

Mathematical Physics · Physics 2014-02-27 Wojciech Dybalski

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

We provide a new method to construct the S-matrix in quantum field theory. This method implements crossing symmetry manifestly by erasing the a priori distinction between in- and out-states. It allows the description of processes where the…

High Energy Physics - Theory · Physics 2008-11-26 Daniele Colosi , Robert Oeckl
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