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Three-loop electronic vacuum-polarization corrections due to irreducible diagrams are evaluated for two-body muonic ions with nuclear charge numbers 1 <= Z <= 6. The corrections are of order alpha^3 (Zalpha)^2 m_r, where alpha is the…

High Energy Physics - Phenomenology · Physics 2025-03-17 G. S. Adkins , U. D. Jentschura

Noncommutative corrections to the metric tensor can be significantly enhanced by the presence of electromagnetic fields. Neutron stars, with their large magnetic fields, are possible candidates to search for such effects. We use precision…

General Relativity and Quantum Cosmology · Physics 2010-08-11 Mansour Haghighat , Allen Stern

We consider the field equations of a static magnetic field including one-loop QED corrections, and calculate the corrections to the field of a magnetic dipole. PACS: 12.20.Ds, 97.60.Jd, 97.60.Gb

High Energy Physics - Phenomenology · Physics 2008-11-26 Jeremy S. Heyl , Lars Hernquist

We perform the first systematic study of the nonlinear electromagnetic currents induced by external electromagnetic field in quark-gluon plasma, both in the two cases that the inhomogeneity of electromagnetic field is small (large) so that…

High Energy Physics - Phenomenology · Physics 2014-08-27 Daisuke Satow

We investigate quantum electrodynamic effects under the influence of an external, time-dependent electromagnetic field, which mediates dynamic modifications of the radiative corrections. Specifically, we consider the quantum electrodynamic…

Atomic Physics · Physics 2013-09-10 A. I. Milstein , I. S. Terekhov , U. D. Jentschura , C. H. Keitel

A new model of nonlinear electrodynamics with three parameters is suggested and investigated. It is shown that if the external constant magnetic field presents the phenomenon of vacuum birefringence takes place. The indexes of refraction…

General Physics · Physics 2015-04-08 S. I. Kruglov

The effects of small relativistic corrections to the off-resonant polarizability, hyperpolarizability, and second hyperpolarizability are investigated. Corrections to linear and nonlinear optical coefficients are demonstrated in the…

Quantum Physics · Physics 2015-06-22 Nathan J. Dawson

The linear electromagnetic response of a uniform electron gas to a longitudinal electric field is determined, within the self-consistent-field theory, by the linear polarizability and the Lindhard dielectric function. Using the same…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 S. A. Mikhailov

We compute the third-order correction to the S-wave quarkonium wave functions |\psi_n(0)|^2 at the origin from non-Coulomb potentials in the effective non-relativistic Lagrangian. Together with previous results on the Coulomb correction and…

High Energy Physics - Phenomenology · Physics 2010-04-05 M. Beneke , Y. Kiyo , K. Schuller

A potential for the vertex and self-energy correction is derived from the first-order Born theory. The inclusion of this potential in the Dirac equation, together with the Uehling potential for vacuum polarization, allows for a…

Nuclear Theory · Physics 2023-07-25 D. H. Jakubassa-Amundsen

Analytical expressions for the tenth order electromagnetic corrections to the lepton ($L=e, ~\mu $ and $\tau$) anomaly $a_L$ are derived explicitly for a class of Feynman diagrams with insertions of the vacuum polarization operator…

High Energy Physics - Phenomenology · Physics 2024-06-25 O. P. Solovtsova , V. I. Lashkevich , L. P. Kaptari

Two kinds of the quantum electrodynamic radiative corrections to electromagnetic interaction and their influence on properties of highly dense quantum plasmas are considered. Linear radiative correction to the Coulomb interaction are…

Plasma Physics · Physics 2014-05-16 Pavel A. Andreev

Machine-learning electronic Hamiltonians achieve orders-of-magnitude speedups over density-functional theory, yet current models omit long-range Coulomb interactions that govern physics in polar crystals and heterostructures. We derive…

Computational Physics · Physics 2026-03-23 Yang Zhong , Xiwen Li , Xingao Gong , Hongjun Xiang

We develop worldline numerical methods, which combine string-inspired with Monte-Carlo techniques, for the computation of the vacuum polarization tensor in inhomogeneous background fields for scalar QED. The algorithm satisfies the Ward…

High Energy Physics - Phenomenology · Physics 2013-05-29 Holger Gies , Lars Roessler

This work studies the non-perturbative Coulomb corrections to the He-3 binding energy, magnetic moment, and charge and magnetic radii in leading-order (LO) Pionless Effective Field Theory (Pionless EFT). The splitting between He-3 and H-3…

Nuclear Theory · Physics 2026-04-29 Xincheng Lin

We describe a simplified derivation for the relativistic corrections of order $\alpha^4$ for a bound system consisting of two spinless particles. We devote special attention to pionium, the bound system of two oppositely charged pions. The…

High Energy Physics - Phenomenology · Physics 2009-11-07 U. D. Jentschura , G. Soff , P. J. Indelicato

The QED hadronic vacuum polarization function plays an important role in the determination of precision electroweak observables and of the anomalous magnetic moment of the muon. These contributions have been computed from data, by means of…

High Energy Physics - Phenomenology · Physics 2023-11-14 Nina M. Coyle , Carlos E. M. Wagner

The vacuum-polarization correction for bound electrons or muons is examined. The objective is to formulate a framework for calculating the correction from bound-state quantum electrodynamics entirely in coordinate space, including the…

Quantum Physics · Physics 2015-06-18 Paul Indelicato , Peter J. Mohr , J. Sapirstein

Self-energy and vacuum polarization effects in quantum electrodynamics (QED) are calculated for the supercritical Coulomb field, where Dirac energy levels become embedded in the negative-energy continuum. In this regime, the quantum vacuum…

Atomic Physics · Physics 2024-09-16 V. A. Zaytsev , V. A. Yerokhin , C. H. Keitel , N. S. Oreshkina

The shift of atomic energy levels due to hadronic vacuum polarization is evaluated in a semiempirical way for hydrogenlike ions and for muonic hydrogen. A parametric hadronic polarization function obtained from experimental cross sections…

Quantum Physics · Physics 2022-10-19 Sören Breidenbach , Eugen Dizer , Halil Cakir , Zoltán Harman