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This paper presents the first examples of massless relativistic quantum field theories which are interacting and asymptotically complete. These two-dimensional theories are obtained by an application of a deformation procedure, introduced…

Mathematical Physics · Physics 2011-06-16 Wojciech Dybalski , Yoh Tanimoto

Particle aspects of two-dimensional conformal field theories are investigated, using methods from algebraic quantum field theory. The results include asymptotic completeness in terms of (counterparts of) Wigner particles in any vacuum…

Mathematical Physics · Physics 2017-09-26 Wojciech Dybalski , Yoh Tanimoto

We formulate a generalized concept of asymptotic completeness and show that it holds in any Haag-Kastler quantum field theory with an upper and lower mass gap. It remains valid in the presence of pairs of oppositely charged particles in the…

Mathematical Physics · Physics 2021-04-23 Wojciech Dybalski , Christian Gérard

In higher dimensional quantum field theory, irreducible representations of the Poincare group are associated with particles. Their counterpart in two-dimensional massless models are "waves" introduced by Buchholz. In this paper we show that…

Mathematical Physics · Physics 2012-08-21 Yoh Tanimoto

In this article we address the question of asymptotic symmetry of massless scalar field at null infinity. We slightly generalize notion of asymptotic symmetry in order to make sense for the theory without gauge symmetry. Derivations of the…

High Energy Physics - Theory · Physics 2023-10-26 Dejan Simić

We prove the Bisognano-Wichmann property for asymptotically complete Haag-Kastler theories of massless particles. These particles should either be scalar or appear as a direct sum of two opposite integer helicities, thus, e.g., photons are…

Mathematical Physics · Physics 2021-04-23 Wojciech Dybalski , Vincenzo Morinelli

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

The observed astrophysical phenomenon of dark matter has generated new interest in the problem of whether the principles underlying QFT are consistent with invisibility/inertness of energy-momentum carrying "stuff" as e.g. "unparticles". We…

High Energy Physics - Theory · Physics 2009-06-02 Bert Schroer

A recently developed n-particle scattering theory for wedge-local quantum field theories is applied to a class of models described and constructed by Grosse, Lechner, Buchholz, and Summers. In the BLS-deformation setting we establish…

Mathematical Physics · Physics 2023-07-05 Maximilian Duell , Wojciech Dybalski

Time-dependent scattering theory for a large class of translation invariant models, including the Nelson and Polaron models, restricted to the vacuum and one-particle sectors is studied. We formulate and prove asymptotic completeness for…

Mathematical Physics · Physics 2015-03-10 Christian Gérard , Jacob Schach Møller , Morten Grud Rasmussen

We compute the conserved charges associated with the asymptotic symmetries of massless particles by examining their free theory in Minkowski spacetime. We give a procedure to systematically deduce the fall off of the massless fields at…

High Energy Physics - Theory · Physics 2023-06-21 Kevin Nguyen , Peter West

The concept of particle weights has been introduced by Buchholz and the author in order to obtain a unified treatment of particles as well as (charged) infraparticles which do not permit a definition of mass and spin according to Wigner's…

High Energy Physics - Theory · Physics 2007-05-23 Martin Porrmann

In this article we want to argue that an appropriate generalization of the Wigner concepts may lead to an asymptotic particle with well-defined mass, although no mass hyperboloid in the energy-momentum spectrum exists.

Mathematical Physics · Physics 2013-04-16 Andrzej Herdegen

We propose a formula relating scattering S-matrix amplitudes to correlators of a conformal field theory. The proposal implements a flat limit of the field theory, providing an indirect microscopic description of gravitational theories with…

High Energy Physics - Theory · Physics 2019-08-21 Eliot Hijano

The Buchholz' scattering theory of waves in two dimensional massless models suggests a natural definition of a scattering amplitude. We compute such a scattering amplitude for charged infraparticles that live in the GNS representation of…

Mathematical Physics · Physics 2022-09-28 Wojciech Dybalski , Jens Mund

Various equivalences between so-called soft theorems which constrain scattering amplitudes and Ward identities related to asymptotic symmetries have recently been established in gauge theories and gravity. So far these equivalences have…

High Energy Physics - Theory · Physics 2015-05-21 Miguel Campiglia , Alok Laddha

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

It is expected that the state of an atom or molecule, initially put into an excited state with an energy below the ionization threshold, relaxes to a groundstate by spontaneous emission of photons which propagate to spatial infinity. In…

Mathematical Physics · Physics 2007-05-23 J. Froehlich , M. Griesemer , B. Schlein

Relativistic field theories with a power law decay in $r^{-k}$ at spatial infinity generically possess an infinite number of conserved quantities because of Lorentz invariance. Most of these are not related in any obvious way to symmetry…

High Energy Physics - Theory · Physics 2019-06-26 Marc Henneaux , Cedric Troessaert

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
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