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The paper formulates Maxwell's equations in 4-dimensional Euclidean space by embedding the electromagnetic vector potential in the frame vector $g_0$. Relativistic electrodynamics is the first problem tackled; in spite of using a geometry…

General Physics · Physics 2007-05-23 Jose B. Almeida

The purpose of this course is to provide an introduction to Electromagnetic Theory. The foundations of electrodynamics starting from the nature of electrical force up to the level of Maxwell equations solutions are presented. It starts with…

Accelerator Physics · Physics 2021-09-03 Irina Shreyber

A configuration of a test magnetic field in Hayward spacetime is obtained by solving Maxwell's equation with the Hayward metric as the background. The magnetic field lines show a dipole loop-like configuration in the regular Hayward…

General Relativity and Quantum Cosmology · Physics 2022-06-24 Ziou Yang , Yen-Kheng Lim

The axion electromagnetic anomaly induces an oscillating electric dipole for {\em any} static magnetic dipole. Static electric dipoles do not produce oscillating magnetic moments. This is a low energy theorem which is a consequence of the…

High Energy Physics - Phenomenology · Physics 2015-07-01 Christopher T. Hill

Einstein-Maxwell theory implies the mixing of photons with gravitons in an external electromagnetic field. This process and its possible observable consequences have been studied at tree level for many years. We use the worldline formalism…

High Energy Physics - Theory · Physics 2008-11-26 F. Bastianelli , U. Nucamendi , C. Schubert , V. M. Villanueva

We prove that, contrary to the common belief, the classical Maxwell electrodynamics of a point-like particle may be formulated as an infinite-dimensional Hamiltonian system. We derive well defined quasi-Hamiltonian which possesses direct…

Classical Physics · Physics 2009-10-30 Dariusz Chruscinski

Axions as dark matter is an increasingly important subject in astrophysics and cosmology. Experimental and observational searches are mounting across the mass spectrum of axion-like particles, many of which require detailed knowledge of…

Cosmology and Nongalactic Astrophysics · Physics 2019-03-13 Erik W. Lentz , Thomas R. Quinn , Leslie J Rosenberg

A theoretical analysis of the excitation of an infinitely long solenoid by oscillating current has revealed the existence of specific potentials in the space outside the solenoid, which can affect electron diffraction in an experiment…

Quantum Physics · Physics 2007-05-23 A. G. Chirkov , A. N. Ageev

A new formulation of electromagnetism based on linear differential commutator brackets is developed. Maxwell equations are derived, using these commutator brackets, from the vector potential $\vec{A}$, the scalar potential $\phi$ and the…

General Physics · Physics 2012-03-21 Arbab I. Arbab , Faisal A. Yassein

Lecture-notes: introducing and discussing basics on axion electrodynamics with application in the calculation of the images generated by an electric (or a magnetic) charge located close to an interface ordinary insulator-topological…

Mesoscale and Nanoscale Physics · Physics 2022-12-05 Josep Planelles

Electromagnetic waves in a dynamical axion background exhibit superluminal group velocities at high frequencies and instabilities at low frequencies, altering how photons propagate through space. Local disturbances propagate causally, but…

High Energy Physics - Phenomenology · Physics 2021-01-04 Peter Adshead , Patrick Draper , Benjamin Lillard

We study the dynamics of axion-like fields in F-theory and suggest that they can serve as inflatons in models of natural inflation. The axions arise from harmonic three-forms on the F-theory compactification space and parameterize a complex…

High Energy Physics - Theory · Physics 2021-12-21 Thomas W. Grimm

Continuum electrodynamics is an axiomatic formal theory based on the macroscopic Maxwell equations and the constitutive relations. We apply the formal theory to a thermodynamically closed system consisting of an antireflection coated block…

Optics · Physics 2015-09-18 Michael E. Crenshaw

We consider one cosmological application of an axionic extension of the Maxwell-Vlasov theory, which describes axionically induced oscillatory regime in the state of global magnetic field evolving in the anisotropic expanding (early)…

General Relativity and Quantum Cosmology · Physics 2014-06-26 Alexander B. Balakin , Ruslan K. Muharlyamov , Alexei E. Zayats

We study higher-form symmetries and a higher group in the low energy limit of a $(3+1)$-dimensional axion electrodynamics with a massive axion and a massive photon. A topological field theory describing topological excitations with the…

High Energy Physics - Theory · Physics 2022-03-04 Yoshimasa Hidaka , Muneto Nitta , Ryo Yokokura

The Riemann -- Silberstein -- Majorana -- Oppenheimer approach to the Maxwell electrodynamics in vacuum is investigated within the matrix formalism. The matrix form of electrodynamics includes three real 4 \times 4 matrices. Within the…

Mathematical Physics · Physics 2011-09-28 V. V. Kisel , E. M. Ovsiyuk , V. M. Red'kov , N. G. Tokarevskaya

Background fields of electromagnetic and gravitational type emerge in the low kinetic energy limit of any regular Lagrangian system and, in particular, in the corresponding limit of any spacetime theory in which the free motion of test…

General Relativity and Quantum Cosmology · Physics 2021-07-14 Paolo Maraner

The state of a static spherically symmetric relativistic axionically active multi-component plasma in the gravitational, magnetic and electric fields of an axionic dyon is studied in the framework of the Einstein - Maxwell - Boltzmann -…

General Relativity and Quantum Cosmology · Physics 2019-01-16 Alexander B. Balakin , Dmitry E. Groshev

Using two new well defined 4-dimensional potential vectors, we formulate the classical Maxwell's field theory in a form which has manifest Lorentz covariance and SO(2) duality symmetry in the presence of magnetic sources. We set up a…

High Energy Physics - Theory · Physics 2009-11-07 Wen-Jun Chen , Kang Li , Carlos Naón

A generalization of the classical electrodynamics for systems in absolute motion is presented using a possible alternative to the Lorentz transformation. The main hypothesis assumed in this work are: a) The inertial transformations relate…

General Physics · Physics 2015-06-26 Gabriel D. Puccini
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