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The classical nonlinear laser-plasma interaction theory is corrected. Given the effects of vacuum polarization (induced by extreme laser) as nonlinear media response, one-dimensional wave equations of a monochromatic laser field are derived…

Plasma Physics · Physics 2015-06-15 Wenbo Chen , Zhigang Bu , Hehe Li , Yuee Luo , Peiyong Ji

We present a calculation scheme for the two-loop vacuum polarization correction of order $\alpha^2$ to the Lamb shift of hydrogen-like high-Z atoms. The interaction with the external Coulomb field is taken into account to all orders in…

Quantum Physics · Physics 2007-05-23 G. Plunien , T. Beier , G. Soff , H. Persson

The leading-order two-loop vacuum-polarization potential, linear in the Coulomb field of a nucleus, was first derived in the seminal 1955 work of K\"all\'en-Sabry. The higher-order two-loop vacuum-polarization corrections, however, have…

Atomic Physics · Physics 2025-11-18 S. A. Volkov , V. A. Yerokhin , Z. Harman , C. H. Keitel

We study the vacuum polarization of planar charged Dirac fermions by a strong Coulomb potential. Induced vacuum charge density is calculated and analyzed at the subcritical and supercritical Coulomb potentials for massless and massive…

Quantum Physics · Physics 2016-01-29 V. R. Khalilov , I. V. Mamsurov

In this work we report new results concerning the question of dynamical mass generation in the Lorentz and PCT violating quantum electrodynamics. A one loop calculation for the vacuum polarization tensor is presented. The electron…

High Energy Physics - Theory · Physics 2008-11-26 G. Bonneau , L. C. Costa , J. L. Tomazelli

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

The probability of photon emission of a charged particle traversing a strong field becomes modified if vacuum polarization is considered. This feature is important for fundamental quantum electrodynamics processes present in extreme…

High Energy Physics - Phenomenology · Physics 2023-05-24 M. Jirka , P. Sasorov , S. V. Bulanov

We develop the recently proposed analytical R-matrix (ARM) method to encompass strong field ionisation by circularly polarised fields, for atoms with arbitrary binding potentials. Through ARM, the effect of the potential can now be included…

Atomic Physics · Physics 2013-08-05 Jivesh Kaushal , Olga Smirnova

A consistent renormalization of a quantum theory of axion-electrodynamics requires terms beyond the minimal coupling of two photons to a neutral pseudoscalar field. This procedure is used to determine the self-energy operators of the…

High Energy Physics - Phenomenology · Physics 2018-12-12 Selym Villalba-Chávez , Alina Golub , Carsten Müller

We scrutinize the behavior of eigenvalues of an electron of Helium atom as it interacts with electric field directed along $z$-axis and exposed to linearly polarized intense laser field radiation. In order to achieve this, we freeze one…

We examine physical aspects for the electric version of a recently proposed logarithmic electrodynamics, for which the electric field of a point-like charge is finite at the origin. It is shown that this electrodynamics displays the vacuum…

Classical Physics · Physics 2019-05-22 Patricio Gaete , José A. Helayël-Neto , L. P. R. Ospedal

Recent simulations show that very large electric and magnetic fields near the kilo Tesla strength will likely be generated by ultra-intense lasers at existing facilities over distances of hundreds of microns in underdense plasmas. Stronger…

Plasma Physics · Physics 2022-03-02 M. Ángeles Pérez-García , A. Pérez Martínez , E. Rodríguez Querts

The nondipole under-the-barrier dynamics of the electron during strong-field tunneling ionization is investigated, examining the role of the Coulomb field of the atomic core. The common analysis in the strong field approximation is…

Atomic Physics · Physics 2022-04-06 Pei-Lun He , Michael Klaiber , Karen Z. Hatsagortsyan , Christoph H. Keitel

We study electric potential of a charge placed in a strong magnetic field B>>4.4x10^{13}G, as modified by the vacuum polarization. In such field the electron Larmour radius is much less than its Compton length. At the Larmour distances a…

Astrophysics · Physics 2009-06-23 Anatoly E. Shabad , Vladimir V. Usov

Nonlinear QED interactions induce different polarization properties on a given probe beam. We consider the polarization effects caused by the photon-photon interaction in laser experiments, when a laser beam propagates through a constant…

High Energy Physics - Phenomenology · Physics 2017-04-03 Soroush Shakeri , Seyed Zafarollah Kalantari , She-Sheng Xue

We investigate the role of the Coulomb interaction in strong field processes. We find that the Coulomb field of the ion makes its presence known even in highly intense laser fields, in contrast to the assumptions of the strong field…

Atomic Physics · Physics 2019-05-15 Jonathan Dubois , Simon Berman , Cristel Chandre , Turgay Uzer

Nonlinear Maxwell equations are written up to the third-power deviations from a constant-field background, valid within any local nonlinear electrodynamics including QED with a Euler-Heisenberg (EH) effective Lagrangian. The linear electric…

High Energy Physics - Theory · Physics 2016-07-01 T. C. Adorno , D. M. Gitman , A. E. Shabad

We aim at insights about how localization of the background field impacts nonlinear quantum vacuum signatures probed by photons in purely magnetic, electric and crossed fields. The starting point of our study are the one-loop results for…

High Energy Physics - Phenomenology · Physics 2025-01-10 Carl Marmier , Nico Seegert , Felix Karbstein

In an external constant magnetic field, so strong that the electron Larmour length is much shorter than its Compton length, we consider the modification of the Coulomb potential of a point charge owing to the vacuum polarization. We…

Astrophysics · Physics 2008-11-26 A. E. Shabad , V. V. Usov

A calculation of the QED vacuum polarization potential in the Coulomb field of a pointlike nucleus was presented in an earlier publication by the author and his collaborators. Corrections up to order $\alpha^2 (Z\alpha)^7$ were evaluated,…

Atomic Physics · Physics 2026-04-29 Sergey Volkov
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