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The infrared problems of quantum electrodynamics, in contrast to ultraviolet difficulties which are of technical nature, are related to fundamental, conceptual physical questions, such as: what is a charged particle, is the particle…

Mathematical Physics · Physics 2024-10-31 Andrzej Herdegen

A previously proposed algebra of asymptotic fields in quantum electrodynamics is formulated as a net of algebras localized in regions which in general have unbounded spacelike extension. Electromagnetic fields may be localized in…

High Energy Physics - Theory · Physics 2015-05-27 Andrzej Herdegen , Katarzyna Rejzner

Within the general setting of algebraic quantum field theory, a new approach to the analysis of the physical state space of a theory is presented; it covers theories with long range forces, such as quantum electrodynamics. Making use of the…

Mathematical Physics · Physics 2013-01-15 Detlev Buchholz

This Thesis presents some physically motivated criteria for the existence of particles and infra-particles in a given quantum field theory. It is based on a refined spectral theory of automorphism groups describing the energy-momentum…

Mathematical Physics · Physics 2009-01-26 Wojciech Dybalski

A C*-algebra of asymptotic fields which properly describes the infrared structure in quantum electrodynamics is proposed. The algebra is generated by the null asymptotic of electromagnetic field and the time asymptotic of charged matter…

High Energy Physics - Theory · Physics 2009-10-28 Andrzej Herdegen

A theory of structure is formulated for systems of many structureless classical particles with stable local interactions in Euclidean space. Such systems are shown to have their structure in thermodynamic equilibrium determined exactly by a…

Statistical Mechanics · Physics 2026-02-12 John Çamkıran , Fabian Parsch , Glenn D. Hibbard

In this work we introduce a procedure to find localized structures with finite energy. We start dealing with global monopoles, and add a new contribution to the potential of the scalar fields, to balance the contribution of the angular…

High Energy Physics - Theory · Physics 2021-10-11 D. Bazeia , M. A. Marques , M. Paganelly

We develop a formalism to study the role of local defects in tight binding systems in the presence of a strong external ac electric field. It is found that the appearance and disappearance of localized states, as well as their localization…

Condensed Matter · Physics 2009-10-22 D. Hone , M. Holthaus

A new approach to the analysis of the physical state space of a theory is presented within the general setting of local quantum physics. It also covers theories with long range forces, such as Quantum Electrodynamics. Making use of the…

Mathematical Physics · Physics 2015-06-15 Detlev Buchholz , John E. Roberts

It is often overlooked that local quantum physics has a built in quantum localization structure which may under certain circumstances disagree with (differential, algebraic) geometric ideas. String theory originated from such a spectacular…

General Physics · Physics 2010-07-27 Bert Schroer

On the basis of the transfer matrix technique an analytical method to investigate the stationary states, for an electron in one-dimensional periodic structures in an external electrical field, displaying the symmetry of the problem is…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 N. L. Chuprikov

The creation of electrically charged states and the resulting electromagnetic fields are considered in space-time regions in which such experiments can actually be carried out, namely in future-directed light cones. Under the simplifying…

Mathematical Physics · Physics 2025-03-05 Detlev Buchholz , Fabio Ciolli , Giuseppe Ruzzi , Ezio Vasselli

A brief overview of the current state of the problem of electromagnetic field singularities arising from the refraction and scattering of light by material objects is given. The discussion begins with caustics arising from ray tracing in…

Optics · Physics 2024-10-11 M. I. Tribelsky , B. S. Luk'yanchuk

A physical system is in local equilibrium if it cannot be distinguished from a global equilibrium by ``infinitesimally localized measurements''. This should be a natural characterization of local equilibrium, but the problem is to give a…

High Energy Physics - Theory · Physics 2007-05-23 Hermann Hessling

A key starting assumption in many classical interatomic potential models for materials is a site energy decomposition of the potential energy surface into contributions that only depend on a small neighbourhood. Under a natural stability…

Mathematical Physics · Physics 2020-09-10 Jack Thomas

We examine the spatial distribution of electrons generated by a fixed energy point source in uniform, parallel electric and magnetic fields. This problem is simple enough to permit analytic quantum and semiclassical solution, and it harbors…

Quantum Physics · Physics 2007-05-23 Christian Bracher , Tobias Kramer , John B. Delos

Field Theories in Physics can be formulated giving a local Lagrangian density. Locality is imposed using the infinite jet bundle. That bundle is viewed as a pro-finite dimensional smooth manifold and that point of view has been compared to…

Mathematical Physics · Physics 2018-11-08 Nestor Leon Delgado

We investigate the interplay and connections between symmetry properties of equations, the interpretation of coordinates, the construction of observables, and the existence of physical relativity principles in spacetime theories. Using the…

General Relativity and Quantum Cosmology · Physics 2009-06-30 Hans Westman , Sebastiano Sonego

The asymptotic structure of gauge theories describing fracton interactions is analyzed. Two sets of asymptotic conditions are proposed. Both encompass all known solutions, lead to finite charges and resolve the problem of the divergent…

High Energy Physics - Theory · Physics 2022-08-31 Alfredo Pérez , Stefan Prohazka

The standard theory of relativity is based on the hypothesis of locality. The locality principle assumes that an object is affected only by its immediate surroundings and not by variables in the past. It follows that in standard relativity…

General Relativity and Quantum Cosmology · Physics 2012-11-12 Bahram Mashhoon
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