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A formal symmetry between generalized coordinates and momenta is postulated to formulate classical and quantum theories of a particle coupled to an Abelian gauge field. It is shown that the symmetry (a) requires the field to have dynamic…

Quantum Physics · Physics 2009-05-17 Partha Ghose

This two-paper series addresses and fixes the long-standing gauge invariance problem of angular momentum in gauge theories. This QED part reveals: 1) The spin and orbital angular momenta of electrons and photons can all be consistently…

High Energy Physics - Phenomenology · Physics 2007-09-25 X. S. Chen , X. F. Lü , W. M. Sun , F. Wang , T. Goldman

The symmetry studies of Maxwell equations gave new insight on the nature of electromagnetic (EM) field. Tey are reviewed in the work presented. It is drawing the attention on the following aspects. EM-field has in general case quaternion…

Mathematical Physics · Physics 2013-07-11 Dmitri Yerchuck , Alla Dovlatova , Andrey Alexandrov

We introduce a way to express compact quantum electrodynamics with dynamical matter on two- and three-dimensional spatial lattices in a gauge redundancy-free manner while preserving translational invariance. By transforming to a rotating…

Quantum Physics · Physics 2020-12-24 Julian Bender , Erez Zohar

We derive the effective masses for photons in unmagnetized plasma waves using a quantum field theory with two vector fields (gauge fields). In order to properly define the quantum field degrees of freedom we re-derive the classical wave…

High Energy Physics - Theory · Physics 2009-08-03 J. T. Mendonca , P. Castelo Ferreira

The ability to achieve ultra-strong coupling between light and matter promises to bring about new means to control material properties, new concepts for manipulating light at the atomic scale, and fundamentally new insights into quantum…

Quantum Physics · Physics 2019-05-22 Nicholas Rivera , Johannes Flick , Prineha Narang

It is generally assumed that quantum field theory (QFT) is gauge invariant. However it is well known that non-gauge invariant terms appear in various calculations. This problem was examined in Refs. [3] and [4] and it was shown that at the…

Quantum Physics · Physics 2007-09-12 Dan Solomon

We provide a theoretical foundation for the notion of the quantum coherent state of the electrostatic field of a static external charge distribution introduced in a 1998 paper and rederive formulae there for the inner products of a pair of…

High Energy Physics - Theory · Physics 2022-01-19 Bernard S. Kay

It is commonly agreed that the electromagnetic vacuum is not empty but filled with virtual photons. This leads to effects like Lamb shift and spontaneous emission. Here we argue that if the vacuum has virtual photons it might mean that it…

Quantum Physics · Physics 2023-03-22 Karol Gietka

This review is devoted to precision physics of simple atoms. The atoms can essentially be described in the framework of quantum electrodynamics (QED), however, the energy levels are also affected by the effects of the strong interaction due…

High Energy Physics - Phenomenology · Physics 2015-06-25 Savely G. Karshenboim

I show that Quantum Electrodynamics (QED) predicts a sort of uncertainty principle on the number of the "soft photons" that can be produced in coincidence with the particles that are observed in any EPR experiment. This result is argued to…

Quantum Physics · Physics 2007-05-23 Daniele Tommasini

The structure of classical electrodynamics based on the variational principle together with causality and space-time homogeneity is analyzed. It is proved that in this case the 4-potentials are defined uniquely. On the other hand, the…

General Physics · Physics 2007-05-23 E. Comay

Quantum electrodynamics (QED) with self-conjugated equations with spinor wave functions for fermion fields is considered. In the low order of the perturbation theory, matrix elements of some of QED physical processes are calculated. The…

General Physics · Physics 2021-08-11 V. P. Neznamov , V. E. Shemarulin

We reevaluate the status of the gauge principle and reposition it as an intermediary structure dependent on the initial conditions we endow on our theory. We explore how the gauge symmetry manifests in the context of basic quantum…

History and Philosophy of Physics · Physics 2023-01-03 Kyle Singh

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

The present paper is based upon equations obtained in an earlier paper by the author devoted to a new formulation of quantum electrodynamics. The equations describe the structure of the electron as well as its motion in external fields,…

General Physics · Physics 2016-10-05 V. A. Golovko

"Physical theories of fundamental significance tend to be gauge theories. These are theories in which the physical system being dealt with is described by more variables than there are physically independent degree of freedom. The…

Classical Physics · Physics 2007-05-23 Germain Rousseaux

The main motivation to study models in the presence of a minimal length is to obtain a quantum field theory free of the divergences. In this way, in this paper, we have constructed a new framework for quantum electrodynamics embedded in a…

High Energy Physics - Theory · Physics 2016-06-29 Apollo V. Silva , E. M. C. Abreu , M. J. Neves

In this lecture we discuss the basic ingredients for gauge invariant quantum field theories. We give an introduction to the elements of quantum field theory, to the construction of the basic Lagrangian for a general gauge theory, and…

High Energy Physics - Phenomenology · Physics 2010-12-20 W. Hollik

All elementary particles in nature can be classified as fermions with half-integer spin and bosons with integer spin. Within quantum electrodynamics (QED), even though the spin of the Dirac particle is well defined, there exist open…

Quantum Physics · Physics 2022-06-01 Li-Ping Yang , Farhad. Khosravi , Zubin Jacob