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We show asymptotic completeness of two-body scattering for a class of translation invariant models describing a single quantum particle (the electron) linearly coupled to a massive scalar field (bosons). Our proof is based on a recently…

Mathematical Physics · Physics 2015-12-02 Wojciech Dybalski , Jacob Schach Møller

Soft theorems in gauge theory and gravity encode the universal properties of scattering amplitudes as the zero frequency limit of one or more external states is approached. When the participating particles are treated in the massless limit,…

High Energy Physics - Theory · Physics 2021-07-15 Nikhil Kalyanapuram

With the present trend in experimental particle physics of probing yet shorter distances and with the requirement on the theoretical side of renormalizability, conformal invariance becomes an attractive symmetry for particle interactions.…

High Energy Physics - Theory · Physics 2022-08-29 A. D. Alhaidari

In recent years soft factorization theorems in scattering amplitudes have been reinterpreted as conservation laws of asymptotic charges. In gauge, gravity, and higher spin theories the asymptotic charges can be understood as canonical…

High Energy Physics - Theory · Physics 2019-04-18 Miguel Campiglia , Laurent Freidel , Florian Hopfmüller , Ronak M Soni

We consider a Haag-Kastler net in a positive energy representation, admitting massive Wigner particles and asymptotic fields of massless bosons. We show that states of the massive particles are always vacua of the massless asymptotic…

Mathematical Physics · Physics 2021-04-23 Sabina Alazzawi , Wojciech Dybalski

In this series of lectures we give an introduction to the concept of asymptotic symmetry analysis with a focus on asymptotically flat spacetimes in 2+1 dimensions. We explain general ideas of quantizing gauge theories and then apply these…

High Energy Physics - Theory · Physics 2017-10-13 Max Riegler , Céline Zwikel

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 analyse the conservation laws associated with large gauge transformations of massless fields in Minkowski space. Our aim is to highlight the interplay between boundary conditions and finiteness of the asymptotically conserved charges in…

High Energy Physics - Theory · Physics 2020-11-10 Andrea Campoleoni , Dario Francia , Carlo Heissenberg

We investigate properties of two-dimensional asymptotically flat black holes which arise in both string theory and in scale invariant theories of gravity. By introducing matter sources in the field equations we show how such objects can…

High Energy Physics - Theory · Physics 2010-04-06 R. B. Mann , M. S. Morris , S. F. Ross

We describe few aspects of the quantum symmetries of some massless two-dimensional field theories. We discuss their relations with recent proposals for the factorized scattering theories of the massless $PCM_1$ and $O(3)_{\theta=\pi}$ sigma…

High Energy Physics - Theory · Physics 2008-11-26 Denis Bernard

We consider a theory of scalar superfields in two dimensions with arbitrary superpotential. By imposing no particle production in tree level scattering, we constrain the form of the admissible interactions, recovering a supersymmetric…

High Energy Physics - Theory · Physics 2018-05-23 Carlos Bercini , Diego Trancanelli

Starting from the asymptotic kinematics of massless scalar fields near null infinity in any spacetime dimension, we build two higher-spin extensions of the Carrollian definition of the BMS group and its generalisations. The first extension…

High Energy Physics - Theory · Physics 2022-11-29 Xavier Bekaert , Blagoje Oblak

In this paper, we establish the full-wave electromagnetic scattering theory to study the electromagnetic scattering from infinitely long cylinders with radially anisotropic coatings. We show that the total effective scattering width can be…

Optics · Physics 2011-02-22 Yaxian Ni , Lei Gao , Cheng-Wei Qiu

In conventional gravitational wave scattering theory, a large-distance asymptotic approximation is employed. In this approximation, the gravitational wave is approximated by its large-distance asymptotics. In this paper, we establish a…

General Relativity and Quantum Cosmology · Physics 2021-03-02 Wen-Du Li , Shi-Lin Li , Yu-Jie Chen , Yu-Zhu Chen , Wu-Sheng Dai

The notion of Wigner particles is attached to irreducible unitary representations of the Poincare group, characterized by parameters m and s of mass and spin, respectively. However, the Lorentz symmetry is broken in theories with long-range…

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

Asymptotic fields do not exist in theories with massless particles and fields, because the vacuum matrix elements of products of the interacting fields in such theories do not have delta function or principal value singularities in momentum…

High Energy Physics - Phenomenology · Physics 2012-08-13 O. W. Greenberg , Steve Cowen

We present the conformal windows of SU(N) supersymmetric and nonsupersymmetric gauge theories with vector-like matter transforming according to higher irreducible representations of the gauge group. We determine the fraction of…

High Energy Physics - Theory · Physics 2008-11-26 Thomas A. Ryttov , Francesco Sannino

A non-perturbative and exactly solvable quantum field theoretical model for a "dressed Dirac field" is presented, that exhibits all the kinematical features of QED: an appropriate delocalization of the charged field as a prerequisite for…

High Energy Physics - Theory · Physics 2022-04-19 Jens Mund , Karl-Henning Rehren , Bert Schroer

By using conformal symmetry we unify the standard model of particle physics with gravity in a consistent quantum field theory which describes all the fundamental particles and forces of nature.

High Energy Physics - Phenomenology · Physics 2021-11-25 F. F. Faria

Conventional scattering theory is incomplete in that it does not adequately describe the behaviour of the wave function at macroscopic distances from the scattering reaction volume. In scattering experiments particles are incident from…

Quantum Physics · Physics 2021-10-05 John S. Briggs , James M. Feagin