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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…

高能物理 - 理论 · 物理学 2022-04-19 Jens Mund , Karl-Henning Rehren , Bert Schroer

We have explicitly shown that the infrared structure of the full gluon propagator in QCD is an infite sum over all severe (i.e., more singular than $1/q^2$) infrared singularities. It reflects the zero momentum modes enhancement effect in…

高能物理 - 唯象学 · 物理学 2007-05-23 V. Gogohia

We fix exactly and uniquely the infrared structure of the full gluon propagator in QCD, not solving explicitly the corresponding dynamical equation of motion. By construction, this structure is an infinite sum over all possible severe…

高能物理 - 唯象学 · 物理学 2009-11-10 V. Gogohia

A canonical formalism is presented which allows for investigations of quantum radiation induced by localized, smooth disturbances of classical background fields by means of a perturbation theory approach. For massless, non-selfinteracting…

量子物理 · 物理学 2009-10-31 Ralf Schützhold , Guenter Plunien , Gerhard Soff

We study infrared divergences in quantum electrodynamics using geometric phases and the adiabatic approximation in quantum field theory. In this framework, the asymptotic \textit{in} and \textit{out} states are modified by Berry phases,…

高能物理 - 理论 · 物理学 2025-07-03 J. Gamboa

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…

数学物理 · 物理学 2024-10-31 Andrzej Herdegen

A hallmark of integrable systems is the purely elastic scattering of their excitations. Such systems possess an extensive number of locally conserved charges, leading to the conservation of the number of scattered excitations, as well as…

量子物理 · 物理学 2024-05-01 Amir Burshtein , Moshe Goldstein

It has been known for a while that there is spontaneous breaking of Lorentz symmetry in the nonzero charged sectors of quantum electrodynamics due to the infrared problem of soft photons. More recently, it has also been suggested that…

高能物理 - 理论 · 物理学 2018-09-19 A. P. Balachandran , V. P. Nair

The standard approach to the infra-red problem is to use the Bloch-Nordsieck trick to handle soft divergences and the Lee-Nauenberg (LN) theorem for collinear singularities. We show that this is inconsistent in the presence of massless…

高能物理 - 唯象学 · 物理学 2008-11-26 Martin Lavelle , David McMullan

The theoretical foundations of quantum mechanics and de Broglie--Bohm mechanics are analyzed and it is shown that both theories employ a formal approach to microphysics. By using a realistic approach it can be established that the internal…

量子物理 · 物理学 2015-06-26 W. A. Hofer

The infrared behavior of QED changes drastically in the presence of a strong magnetic field: the electron self-energy and the vertex function are infrared {\em finite}, in contrast with field-free QED, while new infrared divergences appear…

天体物理学 · 物理学 2009-10-22 M. Kachelriess , D. Berg , G. Wunner

Quantum impurities are ubiquitous in condensed matter physics and constitute the most stripped-down realization of many-body problems. While measuring their finite-frequency response could give access to key characteristics such as…

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…

高能物理 - 唯象学 · 物理学 2009-10-31 Emili Bagan , Martin Lavelle , David McMullan

The problem of infrared divergence of the effective electromagnetic field produced by elementary particles is revisited using the non-equilibrium model of an electron interacting with low-temperature photons. It is argued that the infrared…

量子物理 · 物理学 2011-01-27 Kirill A. Kazakov , Vladimir V. Nikitin

We study the infrared problem in the usual model of QED with non-relativistic matter. We prove spectral and regularity properties characterizing the mass shell of an electron and one-electron infraparticle states of this model. Our results…

数学物理 · 物理学 2015-05-13 Thomas Chen , Juerg Froehlich , Alessandro Pizzo

In the thesis, first, the cancellation of infrared divergences in QED is reviewed. Next, two examples in QCD, the quark-quark scattering and the quark-gluon scattering are examined at one loop, from which the importance of Ward-Takahashi…

高能物理 - 唯象学 · 物理学 2022-10-31 Akio Sugamoto

We consider power-like corrections in QCD which can be viewed as power surpressed infrared singularities. We argue that the presence of these singularities depends crucially on the energy resolution. In case of poor energy resolution, i.e.,…

高能物理 - 唯象学 · 物理学 2016-08-24 R. Akhoury , V. I. Zakharov

We review the literature on possible violations of the superposition principle for electromagnetic fields in vacuum from the earliest studies until the emergence of renormalized QED at the end of the 1940's. The exposition covers…

物理学史与哲学 · 物理学 2023-10-24 K. Scharnhorst

Phenomenological consequences of the infrared singular, instantaneous part of the gluon propagator in Coulomb gauge are investigated. The corresponding quark Dyson-Schwinger equation is solved, neglecting retardation and transverse gluons…

高能物理 - 唯象学 · 物理学 2008-11-26 R. Alkofer , M. Kloker , A. Krassnigg , R. F. Wagenbrunn

Models explaining dark matter typically include interactions with charged scalar and fermion fields. The Infra-Red (IR) finiteness of thermal field theories of charged fermions (fermionic QED) has been proven to all orders in perturbation…

高能物理 - 唯象学 · 物理学 2022-10-19 Pritam Sen , D. Indumathi , Debajyoti Choudhury