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The measurement of the anomalous electron magnetic moment $g-2$ through quantum transitions of a single trapped electron is the most stringent test of quantum field theory. These experiments are now so precise that they must account for the…

High Energy Physics - Phenomenology · Physics 2026-03-16 Hannah Day , Roni Harnik , Yonatan Kahn , Shashin Pavaskar , Kevin Zhou

Systematic description of a spin one-half system endowed with magnetic moment or any other two-level system (qubit) interacting with the quantized electromagnetic field is developed. This description exploits a close analogy between a…

Quantum Physics · Physics 2009-11-13 Iwo Bialynicki-Birula , Tomasz Sowinski

Within a systematic approach based on nonrelativistic quantum electrodynamics (NRQED), we derive the one-loop self-energy correction of order alpha (Zalpha)^4 to the bound-electron g factor. In combination with numerical data, this analytic…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. Pachucki , U. D. Jentschura , V. A. Yerokhin

We examine the accuracy of an intrinsically one-dimensional quantum electrodynamics to predict accurately the forces and charges of a three-dimensional system that has a high degree of symmetry and therefore depends effectively only on a…

Atomic Physics · Physics 2015-12-09 Q. Z. Lv , N. D. Christensen , Q. Su , R. Grobe

In a previous paper, the authors with Ann Nelson proposed that the UV and IR applicability of effective quantum field theories should be constrained by requiring that strong gravitational effects are nowhere encountered in a theory's domain…

High Energy Physics - Phenomenology · Physics 2021-03-09 Andrew G. Cohen , David B. Kaplan

We argue that calculations in QED at finite temperature are more conveniently carried out in the Coulomb gauge, in which only the physical photon degrees of freedom play a rol and are thermalized. We derive the photon propagator in this…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. C. D'Olivo , J. F. Nieves , M. Torres , E. Tututi

This paper presents the complete QED contribution to the electron g-2 up to the tenth order. With the help of the automatic code generator, we have evaluated all 12672 diagrams of the tenth-order diagrams and obtained 9.16…

High Energy Physics - Phenomenology · Physics 2015-03-20 Tatsumi Aoyama , Masashi Hayakawa , Toichiro Kinoshita , Makiko Nio

We develop a QED approach to find the contribution of the quantum vacuum to the electromagnetic Abraham force. Semi-classical theories predict diverging contributions from the quantum vacuum. We show that the divergencies disappear by…

Quantum Physics · Physics 2015-06-04 Bart Van Tiggelen , Sebastien Kawka , Geert L. J. A. Rikken

The method and status of a study to provide numerical, high-precision values of the self-energy level shift in hydrogen and hydrogen-like ions is described. Graphs of the self energy in hydrogen-like ions with nuclear charge number between…

Quantum Physics · Physics 2009-11-10 Eric-Olivier Le Bigot , Ulrich D. Jentschura , Paul Indelicato , Peter J. Mohr

The Feynman path integral plays a crucial role in quantum mechanics, offering significant insights into the interaction between classical action and propagators, and linking quantum electrodynamics (QED) with Feynman diagrams. However, the…

General Physics · Physics 2026-05-19 W. Wen

Quantum electrodynamics in 2+1-dimensions (QED$_3$) is a strongly coupled conformal field theory (CFT) of a U(1) gauge field coupled to $2N$ two-component massless fermions. The $N=2$ CFT has been proposed as a ground state of the spin-1/2…

Strongly Correlated Electrons · Physics 2017-07-05 Alex Thomson , Subir Sachdev

An effective quantum field theory description of graphene in the ultra-relativistic regime is given by reduced QED aka. pseudo QED aka. mixed-dimensional QED. It has been speculated in the literature that reduced QED constitutes an example…

High Energy Physics - Theory · Physics 2019-03-06 D. Dudal , A. J. Mizher , P. Pais

Quantum Mechanics (QM) has faced deep controversies and debates since its origin when Werner Heisenberg proposed the first mathematical formalism capable to operationally account for what had been recently discovered as the new field of…

History and Philosophy of Physics · Physics 2020-09-02 Christian de Ronde

We put forward an example of local, covariant Lagrangians where the Feynman rules result in diagrams of QED but with regularized propagators. Following 't Hooft and Veltman, these diagrams may be taken to define a quantum field theory of…

High Energy Physics - Theory · Physics 2007-05-23 Marijan Ribaric , Luka Sustersic

Information about the number of Feynman graphs for a given physical process in a given field theory is especially useful for confirming the result of a Feynman graph generator used in an automatic system of perturbative calculations. A…

High Energy Physics - Phenomenology · Physics 2018-11-13 T. Kaneko

A rigorous evaluation of the complete gauge-invariant set of the screened one-loop QED corrections to the hyperfine structure and g factor in lithiumlike heavy ions is presented. The calculations are performed in both Feynman and Coulomb…

Atomic Physics · Physics 2009-07-18 A. V. Volotka , D. A. Glazov , V. M. Shabaev , I. I. Tupitsyn , G. Plunien

Magnetized neutron stars are privileged places where strong electromagnetic fields as high as $\BQ=4.4\times10^9$~T exist, giving rise to non-linear corrections to Maxwell equations described by quantum electrodynamics (QED). These…

High Energy Astrophysical Phenomena · Physics 2016-01-27 J. Pétri

The field theoretic renormalization study of reduced quantum electrodynamics (QED) is performed up to two loops. In the condensed matter context, reduced QED constitutes a very natural effective relativistic field theory describing (planar)…

High Energy Physics - Theory · Physics 2018-04-05 S. Teber , A. V. Kotikov

Up to date, quantum electrodynamics (QED) is the most precisely tested quantum field theory. Nevertheless, particularly in the high-intensity regime it predicts various phenomena that so far have not directly been accessible in all-optical…

Optics · Physics 2020-03-11 Leonhard Klar

The origin of quantum physics was the discovery of the base unit of electromagnetic action $h$ by Max Planck in 1900 when he analyzed the experimental results of the black body radiation. This permitted Albert Einstein a few years later to…

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