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This paper discusses an attempt to develop a mathematically rigorous theory of Quantum Electrodynamics (QED). It deviates from the standard version of QED mainly in two aspects: it is assumed that the Coulomb forces are carried by…

Quantum Physics · Physics 2019-01-07 Jan Naudts

Quantum Electrodynamics (QED) has been so successful a theory that it is taken as a model for the production of further quantum theories. However, when the prescription for quantising electromagnetic interactions that so successfully…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sarah B. M. Bell , John P. Cullerne , Bernard M. Diaz

On this 75th anniversary of the publication of the Heisenberg-Euler paper on the full non-perturbative one-loop effective action for quantum electrodynamics I review their paper and discuss some of the impact it has had on quantum field…

High Energy Physics - Theory · Physics 2013-06-06 Gerald V. Dunne

The Gel'fand-Yaglom theorem has been used to calculate the one-loop effective action in quantum field theory by means of the "partial-wave-cutoff method". This method works well for a wide class of background fields and is essentially…

High Energy Physics - Theory · Physics 2022-06-29 Adolfo Huet , Idrish Huet , Octavio Cornejo

The quantum electrodynamics (QED) corrections are directly incorporated into the most accurate treatment of the correlation corrections for ions with complex electronic structure of interest to metrology and tests of fundamental physics. We…

Atomic Physics · Physics 2016-12-21 I. I. Tupitsyn , M. G. Kozlov , M. S. Safronova , V. M. Shabaev , V. A. Dzuba

With the aim of progressing toward a practical implementation of an effective quantum-electrodynamics (QED) theory of atoms and molecules, which includes the effects of vacuum polarization through the creation of virtual electron-positron…

Quantum Physics · Physics 2025-03-11 Timothée Audinet , Umberto Morellini , Antoine Levitt , Julien Toulouse

We demonstrate that conditional as well as unconditional basic operations which are prerequisite for universal quantum gates can be performed with almost 100% fidelity within a strongly interacting two-electron quantum ring. Both sets of…

Mesoscale and Nanoscale Physics · Physics 2016-08-14 Lene Sælen , Erik Waltersson , J. P. Hansen , Eva Lindroth

We obtain analytical five-loop results for the renormalization group $\beta$-function of Quantum Electrodynamics with the single lepton in different renormalization schemes. The theoretical consequences of the results obtained are…

High Energy Physics - Phenomenology · Physics 2015-06-05 A. L. Kataev , S. A. Larin

It is demonstrated that quasi-exactly solvable models of quantum mechanics admit an interesting duality transformation which changes the form of their potentials and inverts the sign of all the exactly calculable energy levels. This…

High Energy Physics - Theory · Physics 2007-05-23 A. Krajewska , A. Ushveridze , Z. Walczak

Here, we present an overview of recent developments in the characterization of electromagnetic and quantum metamaterials using effective medium methods. It is highlighted that both electromagnetic and electronic systems can be homogenized…

Mesoscale and Nanoscale Physics · Physics 2017-11-23 Mario G. Silveirinha

Cho and Pak reply to Lamm et al. [hep-th/0007108] comment on "A Convergent Series for the Effective Action of QED" [hep-th/0006057].

High Energy Physics - Theory · Physics 2009-11-10 Y. M. Cho

In this work we present the study of the renormalizability of the Generalized Quantum Electrodynamics ($GQED_{4}$). We begin the article by reviewing the on-shell renormalization scheme applied to $GQED_{4}$. Thereafter, we calculate the…

High Energy Physics - Theory · Physics 2012-12-17 R. Bufalo , B. M. Pimentel , G. E. R. Zambrano

The anomalous magnetic moment of the muon is one of the most fundamental observables. It has been measured experimentally with a very high precision and on theory side the contributions from perturbative QED have been calculated up to…

High Energy Physics - Phenomenology · Physics 2014-02-06 P. A. Baikov , A. Maier , P. Marquard

A numerical technique for calculating effective actions of electromagnetic backgrounds is proposed, which is based on the string-inspired worldline formalism. As examples, we consider scalar electrodynamics in three and four dimensions to…

High Energy Physics - Phenomenology · Physics 2009-11-07 Holger Gies , Kurt Langfeld

We demonstrate our simple strategy for renormalization with QED at one-loop level, basing on an elaboration of the effective field theory philosophy. No artificial regularization or deformation of the original theory is introduced here and…

High Energy Physics - Theory · Physics 2014-11-20 Ji-Feng Yang , Zhao-Ting Pan

Complete results were obtained by us in [Can. J. Phys. 71, 389 (1993)] for convergent series representations of both the real and the imaginary part of the QED effective action; these derivations were based on correct intermediate steps. In…

High Energy Physics - Theory · Physics 2009-10-31 D. R. Lamm , S. R. Valluri , U. D. Jentschura , E. J. Weniger

We study the symmetry of the one-loop effective action of bosonic string theory under non-Abelian T-duality transformations. It is shown that the original Lagrangian and its dual are proportional. This result implies that the corresponding…

High Energy Physics - Theory · Physics 2009-10-31 A. Bossard , N. Mohammedi

We suggest how to construct non-perturbatively a renormalized action in quantum mechanics. We discuss similarties and differences with the standard effective action. We propose that the new quantum action is suitable to define and compute…

Quantum Physics · Physics 2016-08-16 H. Jirari , H. Kröger , X. Q. Luo , K. J. M. Moriarty

An eigenvalue equation representing symmetric (dual) quantum equation is introduced. The particle is described by two scalar wavefunctions, and two vector wavefunctions. The eigenfunction is found to satisfy the quantum Telegraph equation…

General Physics · Physics 2018-07-26 A. I. Arbab

The loop-tree duality (LTD) theorem establishes that loop contributions to scattering amplitudes can be computed through dual integrals, which are build from single cuts of the virtual diagrams. In order to build a complete LTD…

High Energy Physics - Phenomenology · Physics 2017-11-22 N. Selomit Ramírez-Uribe , Roger J. Hernández-Pinto , Germán Rodrigo