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The construction of conformally invariant gauge conditions for Maxwell and Einstein theories on a manifold M is found to involve two basic ingredients. First, covariant derivatives of a linear gauge (e.g. Lorenz or de Donder), completely…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Giampiero Esposito , Cosimo Stornaiolo

The evolution equations of Einstein's theory and of Maxwell's theory---the latter used as a simple model to illustrate the former--- are written in gauge covariant first order symmetric hyperbolic form with only physically natural…

General Relativity and Quantum Cosmology · Physics 2010-04-06 A. Abrahams , A. Anderson , Y. Choquet-Bruhat , J. W. York

In this letter we describe a new and simple approach for modulating the electromagnetic wave propagating in a dielectric medium in the form of solitons by considering the torque developed between the induced dipoles in the medium and…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 V. Veerakumar , M. Daniel

In this letter we reflect on the propagation of gravitational waves in alternative theories of gravity, which are typically formulated using extra gravitational degrees of freedom in comparison to General Relativity. We propose to…

General Relativity and Quantum Cosmology · Physics 2018-11-28 Jose A. R. Cembranos , Mario Coma Diaz , Prado Martin-Moruno

We present a relation which connects the propagator in the radial (Fock-Schwinger) gauge with a gauge invariant Wilson loop. It is closely related to the well-known field strength formula and can be used to calculate the radial gauge…

High Energy Physics - Theory · Physics 2009-10-30 Stefan Leupold , Heribert Weigert

The gauge invariant formulation of Maxwell's equations and the electromagnetic duality transformations are given in the light-front (LF) variables. The novel formulation of the LF canonical quantization, which is based on the kinematic…

High Energy Physics - Theory · Physics 2009-11-11 Jerzy A. Przeszowski

The significance of the Lorentz gauge as a constraint on solutions of Maxwellian waves is discussed. It is proved that recent claims of superluminal propagation of electromagnetic waves rely on an erroneous basis.

Optics · Physics 2007-05-23 E. Comay

For the first time, as far as we know, in field theory are found explicit forms of propagators satisfying the K\"allen -- Lehmann representation. To be exact, it is shown that scalar meson propagators, taking into account a virtual…

High Energy Physics - Phenomenology · Physics 2009-11-10 N. N. Achasov , A. V. Kiselev

The CPT-even gauge sector of the Standard Model Extension is composed of nineteen components comprised in the tensor $(K_{F})_{\mu \nu\rho\sigma}$, of \ which nine do not yield birefringence. In this work, we examine the Maxwell…

High Energy Physics - Theory · Physics 2010-12-24 Rodolfo Casana , Manoel M. Ferreira , Adalto R. Gomes , Frederico E. P. dos Santos

We explore the spectral properties of the time-dependent Maxwell's equations for a plane interface between a metamaterial represented by the Drude model and the vacuum, which fill respectively complementary half-spaces. We construct…

Analysis of PDEs · Mathematics 2016-10-11 Maxence Cassier , Christophe Hazard , Patrick Joly

In this paper, the axion contribution to the electromagnetic wave propagation is studied. First we show how the axion electrodynamics model can be embedded into a premetric formalism of Maxwell electrodynamics. In this formalism, the axion…

High Energy Physics - Theory · Physics 2013-03-08 Yakov Itin

We consider (effective) Quantum General Relativity coupled to the Standard Model and study its transversality. To this end, we provide all propagator and three-valent vertex Feynman rules. Then we examine the longitudinal, identical and…

High Energy Physics - Theory · Physics 2022-08-31 David Prinz

This paper uses an alternative approach to study the monochromatic plane wave propagation within dielectric and conductor linear media of plane-parallel-faces. This approach introduces the time-averaged Poynting vector modulus as field…

General Physics · Physics 2007-05-23 Alberto Lencina , Beatriz Ruiz , Pablo Vaveliuk

We present a calculation of the generalized parton distributions of the photon using overlaps of photon light-front wave functions.

High Energy Physics - Phenomenology · Physics 2015-05-30 Asmita Mukherjee , Sreeraj Nair

The propagation of electromagnetic waves through disordered layered system is considered in the paradigm of Maxwell's equations homogenization. In spite of the impossibility to describe the system in terms of effective dielectric…

Classical Physics · Physics 2019-01-23 Alexander M. Merzlikin , Roman S. Puzko

In this paper we consider photon-photon scattering due to self-induced gravitational perturbations on a Minkowski background. We focus on four-wave interaction between plane waves with weakly space and time dependent amplitudes, since…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. Brodin , D. Eriksson , M. Marklund

We formulate a general framework for describing the electromagnetic properties of spacetime. These properties are encoded in the `constitutive tensor of the vacuum', a quantity analogous to that used in the description of material media. We…

General Relativity and Quantum Cosmology · Physics 2017-09-27 G. F. Rubilar

The non-perturbative structure of the photon and gluon propagators plays an important role in governing the dynamics of quantum electrodynamics (QED) and quantum chromodynamics (QCD) respectively. Although it is often assumed that these…

High Energy Physics - Theory · Physics 2017-09-21 Peter Lowdon

We show that the propagation of a N-photon field in space and time can be described by a generalized Huygens-Fresnel integral. Using two examples, we then demonstrate how familiar Fourier optics techniques applied to a N-photon wave…

Quantum Physics · Physics 2010-11-30 E. Brainis

We extend the duality symmetry between the electric and the magnetic fields to the case in which an additional axion-like term is present, and we derive the set of Maxwell's equations that preserves this symmetry. This new set of equations…

Classical Physics · Physics 2022-06-14 Luca Visinelli