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We study some observational signatures of nonlinearities of the electromagnetic field. First to all we show the vital role played by nonlinearities in triggering a material behavior of the vacuum with $(\varepsilon > 0, \mu <0)$, which…

High Energy Physics - Phenomenology · Physics 2023-03-01 P. Gaete , J. A. Helayël-Neto

In this work we give a comprehensive derivation of an exact and numerically feasible method to perform ab-initio calculations of quantum particles interacting with a quantized electromagnetic field. We present a hierachy of…

We consider Heisenberg-Euler-type model of nonlinear electrodynamics with two parameters. Heisenberg-Euler electrodynamics is a particular case of this model. Corrections to Coulomb's law at $r\rightarrow\infty$ are obtained and energy…

General Physics · Physics 2017-05-25 S. I. Kruglov

Logarithmic angle-dependent gauge transformations are symmetries of electromagnetism that are canonically conjugate to the standard $\mathcal O(1)$ angle-dependent $u(1)$ transformations. They were exhibited a few years ago at spatial…

High Energy Physics - Theory · Physics 2025-04-09 Oscar Fuentealba , Marc Henneaux

A fully relativistically covariant formulation of the classical Maxwell electrodynamics of an arbitrarily-moving point charge is presented, purely in terms of gauge invariant potentials without entailing any gauge fixing. A new,…

Classical Physics · Physics 2019-05-21 Anarya Ray , Parthasarathi Majumdar , Zahid Ansari

A systematic formalism for quantum electrodynamics in a classical uniform magnetic field is discussed. The first order radiative correction to the ground state energy of an electron is calculated. This then leads to the anomalous magnetic…

High Energy Physics - Theory · Physics 2007-05-23 Jun Suzuki

We formulate a general theory of the dielectric response of a lattice with a structural transition and a polarization instability due to a soft-optic mode coupled to low energy electronic excitations by the electromagnetic fields. the…

Materials Science · Physics 2007-05-23 T. K. Ng , C. M. Varma

Born-Infeld nonlinear electrodynamics are considered. Main attention is given to existence of singular point at static field configuration that M.Born and L.Infeld are considered as a model of electron. It is shown that such singularities…

High Energy Physics - Theory · Physics 2011-07-19 Alexander A. Chernitskii

Electromagnetic field produced in high-energy heavy-ion collisions contains much useful information, because the field can be directly related to the motion of the matter in the whole stage of the reaction. One can divide the total…

Nuclear Theory · Physics 2009-10-31 T. Osada , Y. Hama

More than 80 years ago, Born-Infeld electrodynamics was proposed in order to remove the point charge singularity in Maxwell electrodynamics. In this work, after a brief introduction to Lagrangian formulation of Abelian Born-Infeld model in…

High Energy Physics - Theory · Physics 2017-07-04 Seyed Kamran Moayedi , Mansoureh Shafabakhsh , Farkhondeh Fathi

We obtain the following analytical formula which describes the dependence of the electric potential of a point-like charge on the distance away from it in the direction of an external magnetic field B: \Phi(z) = e/|z| [ 1-…

High Energy Physics - Phenomenology · Physics 2011-03-02 Bruno Machet , M. I. Vysotsky

We derive analytical expressions for external fields of a relativistic bunch of charged particles with a circular and an elliptical cross section under different boundary conditions and interaction of the fields with an accelerator…

Accelerator Physics · Physics 2020-03-16 B. B. Levchenko

We apply point-particle effective field theory (PPEFT) to compute the leading shifts due to finite-size source effects in the Coulomb bound energy levels of a relativistic spinless charged particle. This is the analogue for spinless…

High Energy Physics - Phenomenology · Physics 2017-08-02 C. P. Burgess , Peter Hayman , Markus Rummel , Matt Williams , Laszlo Zalavari

If the color Coulomb potential is confining, then the Coulomb field energy of an isolated color charge is infinite on an infinite lattice, even if the usual UV divergence is lattice regulated. A simple criterion for Coulomb confinement is…

High Energy Physics - Lattice · Physics 2013-05-29 J. Greensite

The exact nonlinear response of noninteracting (Bloch) electrons is examined within a nonequilibrium formalism on the infinite-dimensional hypercubic lattice. We examine the effects of a spatially uniform, but time-varying electric field…

Statistical Mechanics · Physics 2009-11-10 V. Turkowski , J. K. Freericks

This paper applies the isotopic field-charge spin theory (Darvas, IJTP 2011) to the electromagnetic interaction. First there is derived a modified Dirac equation in the presence of a velocity dependent gauge field and isotopic field charges…

General Physics · Physics 2018-09-13 György Darvas

The effective potential of electron--electron interaction and the two-particle \textquotedblleft density--density\textquotedblright\ correlation function have been calculated for a simple semiinfinite metal making allowance for the…

Mesoscale and Nanoscale Physics · Physics 2015-03-29 B. M. Markovych , I. M. Zadvorniak

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

This paper presents a \emph{non-instant field model} for electrodynamics that permits a causal explanation of the \emph{Aharonov-Bohm effect} and a \emph{covariant quantization} of the respective Maxwell equations via the…

Mathematical Physics · Physics 2011-11-28 Richard Kowar

Long-range properties of the two-point correlation function of the electromagnetic field produced by an elementary particle are investigated. Using the Schwinger-Keldysh formalism it is shown that this function is finite in the coincidence…

High Energy Physics - Theory · Physics 2009-11-10 Kirill A. Kazakov