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This paper studies the model of the quantum electrodynamics (QED) of a single nonrelativistic electron due to W. Pauli and M. Fierz and studied further by P. Blanchard. This model exhibits infrared divergence in a very simple context. The…

High Energy Physics - Theory · Physics 2022-10-12 O. W. Greenberg

We investigate quantum electrodynamics in the infrared regime (QED-IR) using the adiabatic approximation and the framework of the functional Berry phase. In this approach, the physical state space is exact, nonperturbatively dressed, and…

High Energy Physics - Phenomenology · Physics 2025-10-14 J. Gamboa , F. Mendez

The quantum Gauss Law as an interacting field equation is a prominent feature of QED with eminent impact on its algebraic and superselection structure. It forces charged particles to be accompanied by "photon clouds" that cannot be realized…

High Energy Physics - Theory · Physics 2020-01-08 Jens Mund , Karl-Henning Rehren , Bert Schroer

We motivate the use of dressed charges by arguing that such objects are needed to describe, e.g., constituent quarks and, in general, physical charged states in gauge theories. We give a short introduction to dressings in both QED and QCD.…

High Energy Physics - Phenomenology · Physics 2009-10-28 E. Bagan , M. Lavelle , D. McMullan , B. Fiol , N. Roy

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

Gauge theories are characterised by long range interactions. Neglecting these interactions at large times, and identifying the Lagrangian matter fields with the asymptotic physical fields, leads to the infra-red problem. In this paper we…

High Energy Physics - Phenomenology · Physics 2009-10-31 Emili Bagan , Martin Lavelle , David McMullan

Systematic approaches to building up gauge invariant descriptions of charged fields, such as electrons or quarks, are described. Physically relevant descriptions must then be singled out from a multiplicity of possibilities and to this end…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Bagan , M. Lavelle , D. McMullan , B. Fiol , N. Roy

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

The freedom one has in constructing locally gauge invariant charged fields in gauge theories is analyzed in full detail and exploited to construct, in QED, an electron field whose two-point function W(p), up to the fourth order in the…

High Energy Physics - Theory · Physics 2009-10-31 E. d'Emilio , S. Micciche

A new application of quantum field theory is developed that gives a description of the internal dynamics of dressed elementary particles and predicts their masses. The fermionic and bosonic quantum fields are treated as interdependent…

General Physics · Physics 2012-08-28 J. M. Greben

A number of physical processes occurring in a flat one-dimensional graphene structure under the action of strong time-dependent electric fields are considered. It is assumed that the Dirac model can be applied to the graphene as a subsystem…

High Energy Physics - Theory · Physics 2020-11-04 Sergey Gavrilov , Dmitry Gitman , Vadim Dmitriev , Anatolii Panferov , Stanislav Smolyansky

A framework is proposed that allows to write down field theories with a new energy scale while explicitly preserving Lorentz invariance and without spoiling the features of standard quantum field theory which allow quick calculations of…

High Energy Physics - Theory · Physics 2008-11-26 Tomasz Konopka

We establish a no-go result for the infrared sector of quantum electrodynamics. Using the standard Fock-space formulation, we show that gauge invariance enforces coherent soft-photon phases that guarantee the…

High Energy Physics - Theory · Physics 2026-02-12 Takeshi Fukuyama

In this article, we review the dynamics of charge carriers in graphene and related 2D systems from a quantum field theoretical point of view. By allowing the electromagnetic fields to propagate throughout space and constraining fermions to…

High Energy Physics - Theory · Physics 2022-08-12 Juan Angel Casimiro Olivares , Ana Julia Mizher , Alfredo Raya

Geometrical model for quantum objects is suggested. It is shown that equations for free material Dirac field and for Maxwell electromagnetic field can be considered as relations describing propagation of the space topological defects. This…

General Physics · Physics 2008-02-18 O. A. Olkhov

Generalizing the noncommutative harmonic oscillator construction, we propose a new extension of quantum field theory based on the concept of "noncommutative fields". Our description permits to break the usual particle-antiparticle…

High Energy Physics - Theory · Physics 2009-11-10 J. M. Carmona , J. L. Cortes , J. Gamboa , F. Mendez

Here we examine the noncommutative counterpart of QED, which is called as noncommutative QED. The theory is obtained by examining the consistent minimal coupling to noncommutative U(1) gauge field. The *-product admits the coupling of the…

High Energy Physics - Theory · Physics 2009-10-31 M. Hayakawa

The perturbation theory in QED used the new form of ground state as a state of interacted particles is proposed. The mean electromagnetic field of charged elementary particle is calculated. The possibility of elimination the problem with…

Quantum Physics · Physics 2007-05-23 G. M. Filippov

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

Several complications arise in quantum field theory because of the infinite many degrees of freedom. However, the distinction between one-particle and many-particle effects -- mainly induced by the vacuum -- is not clear up to now. A field…

High Energy Physics - Theory · Physics 2007-05-23 Bertfried Fauser
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