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When exploring equations of nonlinear electrodynamics in effective medium formed by mutually parallel external electric and magnetic fields, we come to special static axial-symmetric solutions of two types. The first are comprised of fields…

High Energy Physics - Theory · Physics 2023-11-29 T. C. Adorno , D. M. Gitman , A. E. Shanad

Multiple bases are presented for the conclusion that potentials are fundamental in electrodynamics, with electric and magnetic fields as quantities auxiliary to the scalar and vector potentials -- opposite to the conventional ordering. One…

General Physics · Physics 2018-08-03 H. R. Reiss

In the presence of an external magnetic field, the Carroll-Field-Jackiw term introduces a displacement current proportional to the Lorentz-violating background that induces a time-dependent magnetic field. Axion-like particles or hidden…

High Energy Physics - Phenomenology · Physics 2020-03-18 P. C. Malta

We construct non-standard interactions between exterior form gauge fields by gauging a particular global symmetry of the Einstein-Maxwell action for such fields. Furthermore we discuss generalizations of such interactions by adding…

High Energy Physics - Theory · Physics 2009-10-31 Friedemann Brandt , Joan Simon , Ulrich Theis

I show how prior work with R. Wald on geodesic motion in general relativity can be generalized to classical field theories of a metric and other tensor fields on four-dimensional spacetime that 1) are second-order and 2) follow from a…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Samuel E. Gralla

The basic physics disciplines of Maxwell's electrodynamics and Newton's mechanics have been thoroughly tested in the laboratory, but they can nevertheless also support nonphysical solutions. The unphysical nature of some dynamical…

General Physics · Physics 2019-11-13 H. R. Reiss

We generalize the dispersive approach to axial anomaly by A.D. Dolgov and V.I. Zakharov to a non-Abelian case with arbitrary photon virtualites. We derive the anomaly sum rule for the singlet current and obtain the…

High Energy Physics - Phenomenology · Physics 2021-07-20 Sergey Khlebtsov , Yaroslav Klopot , Armen Oganesian , Oleg Teryaev

Electromagnetism is a simple example of a gauge theory where the underlying potentials -- the vector and scalar potentials -- are defined only up to a gauge choice. The vector potential generates magnetic fields through its spatial…

For every conformal gauge field $h_{\alpha (n)\dot \alpha (m)}$ in four dimensions, with $n\geq m >0$, a gauge-invariant action is known to exist in arbitrary conformally flat backgrounds. If the Weyl tensor is non-vanishing, however, gauge…

High Energy Physics - Theory · Physics 2020-12-02 Sergei M. Kuzenko , Michael Ponds , Emmanouil S. N. Raptakis

We establish a new self-consistent system of equations accounting for a non-minimal interaction of gravitational, electromagnetic and axion fields. The procedure is based on a non-minimal extension of the standard Einstein-Maxwell-axion…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Alexander B. Balakin , Wei-Tou Ni

We show that a non-relativistic particle in a combined field of a magnetic monopole and 1/r^2 potential reveals a hidden, partially free dynamics when the strength of the central potential and the charge-monopole coupling constant are…

High Energy Physics - Theory · Physics 2014-03-05 Mikhail S. Plyushchay , Andreas Wipf

We discuss under what conditions the duality between electric and magnetic fields is a valid symmetry of macroscopic quantum electrodynamics. It is shown that Maxwell's equations in the absence of free charges satisfy duality invariance on…

Quantum Physics · Physics 2009-12-14 Stefan Yoshi Buhmann , Stefan Scheel

One way of describing gauge theories in physics is to assign a vector space $V_{x}$ to each space time point $x.$ For each $x$ the field $\psi$ takes values $\psi(x)$ in $V_{x}.$ The freedom to choose a basis in each $V_{x}$ introduces…

Quantum Physics · Physics 2011-04-20 Paul Benioff

Maxwell's equations cannot describe a homogeneous and isotropic universe with a uniformly distributed net charge, because the electromagnetic field tensor in such a universe must be vanishing everywhere. For a closed universe with a nonzero…

General Relativity and Quantum Cosmology · Physics 2016-03-01 Li-Xin Li

Quantum electrodynamics corrects miscalculations of classical electrodynamics, but by introducing the pseudo-particle "photon" it is the source of errors whose practical consequences are serious. Thus W. E. Lamb disadvises the use of the…

General Physics · Physics 2010-11-12 Jacques Moret-Bailly

Photons propagating in an external magnetic field may oscillate into axions or axion-like particles (ALPs). Such oscillations will lead to characteristic features in the energy spectrum of high-energy photons from astrophysical sources that…

High Energy Astrophysical Phenomena · Physics 2022-01-26 M. Kachelriess , J. Tjemsland

The Aharonov-Bohm (A-B) effect has been a major focus of the foundations of physics. And yet, much confusion persists. In particular, the effect purportedly leads to a dilemma: on one horn, we have a non-local action of a gauge-invariant…

History and Philosophy of Physics · Physics 2025-09-25 Henrique Gomes

Over the past few decades, the hypothetically dark photon has been extensively studied from both phenomenological and experimental perspectives. It should be noted that the local symmetry for dark photon does not gauge the standard model…

High Energy Physics - Phenomenology · Physics 2026-04-16 Jie Tang , Pei-Hong Gu

Using noncommutative geometry we do U(1) gauge theory on the permutation group $S_3$. Unlike usual lattice gauge theories the use of a nonAbelian group here as spacetime corresponds to a background Riemannian curvature. In this background…

High Energy Physics - Theory · Physics 2015-06-25 Shahn Majid , E. Raineri

We present a flux formulation of Double Field Theory, in which geometric and non-geometric fluxes are dynamical and field-dependent. Gauge consistency imposes a set of quadratic constraints on the dynamical fluxes, which can be solved by…

High Energy Physics - Theory · Physics 2015-06-15 David Geissbuhler , Diego Marques , Carmen Nunez , Victor Penas