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We consider a complex covariant form of the macroscopic Maxwell equations, in a moving medium or at rest, following the original ideas of Minkowski. A compact, Lorentz invariant, derivation of the energy-momentum tensor and the…

Mathematical Physics · Physics 2016-05-24 Sergey I. Kryuchkov , Nathan A. Lanfear , Sergei K. Suslov

We derive basic equations of electromagnetic fields in fractal media which are specified by three indepedent fractal dimensions {\alpha}_{i} in the respective directions x_{i} (i=1,2,3) of the Cartesian space in which the fractal is…

Mathematical Physics · Physics 2015-05-28 Martin Ostoja-Starzewski

This paper summarizes the motivations and results obtained so far in the frame of a particular non-linearization of Classical Electrodynamics, which was called Extended Electrodynamics. The main purpose pursued with this non-linear…

patt-sol · Physics 2007-05-23 Stoil Donev

We consider an extended QED with the addition of a dimension-five Lorentz-breaking coupling between spinor and gauge fields, involving a pseudo-tensor $\kappa^{\mu\nu\lambda\rho}$. The specific form of the Lorentz violating coupling…

High Energy Physics - Theory · Physics 2023-02-02 A. J. G. Carvalho , A. F. Ferrari , A. M. de Lima , J. R. Nascimento , A. Yu. Petrov

The coupled Maxwell-Lorentz system describes feed-back action of electromagnetic fields in classical electrodynamics. When applied to point-charge sources (viewed as limiting cases of charged fluids) the resulting nonlinear weakly…

Analysis of PDEs · Mathematics 2007-05-23 Guenther Hoermann , Michael Kunzinger

We will display the fundamental structure of classical electrodynamics. Starting from the axioms of (1) electric charge conservation, (2) the existence of a Lorentz force density, and (3) magnetic flux conservation, we will derive Maxwell's…

Classical Physics · Physics 2007-05-23 Friedrich W. Hehl , Yuri N. Obukhov , Guillermo F. Rubilar

The mixed component of the non-commutative parameter \theta_{\mu M}, where \mu = 0,1,2,3 and M is an extra dimensional index may violate four-dimensional CPT invariance. We calculate one and two-loop induced couplings of \theta_{\mu 5} with…

High Energy Physics - Phenomenology · Physics 2009-11-07 Irina Mocioiu , Maxim Pospelov , Radu Roiban

The first principle derivation of kinetic transport equations suggests that a CP-violating mass term during the electroweak phase transition can induce axial vector currents. Since the important terms are of first order in gradients there…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Konstandin

This is a second study of chiral anomaly induced transport within a holographic model consisting of anomalous $U(1)_V\times U(1)_A$ Maxwell theory in Schwarzschild-$AdS_5$ spacetime. In the first part, chiral magnetic/separation effects…

High Energy Physics - Theory · Physics 2017-04-26 Yanyan Bu , Michael Lublinsky , Amir Sharon

In the context of Standard Model Extensions (SMEs), we analyse four general classes of Super Symmetry (SuSy) and Lorentz Symmetry (LoSy) breaking, leading to {observable} imprints at our energy scales. The photon dispersion relations show a…

High Energy Physics - Phenomenology · Physics 2016-12-05 Luca Bonetti , Luís R. dos Santos Filho , José A. Helayël-Neto , Alessandro D. A. M. Spallicci

We investigate the thermodynamics of a photon gas in an effective field theory model that describes Lorentz violations through dimension-five operators and Horava-Lifshitz theory. We explore the electrodynamics of the model which includes…

High Energy Physics - Theory · Physics 2018-08-31 M. A. Anacleto , F. A. Brito , E. Maciel , A. Mohammadi , E. Passos , W. O. Santos , J. R. L. Santos

Stability and causality are investigated for quantum field theories incorporating Lorentz and CPT violation. Explicit calculations in the quadratic sector of a general renormalizable lagrangian for a massive fermion reveal that no…

High Energy Physics - Theory · Physics 2008-11-26 Alan Kostelecky , Ralf Lehnert

In this paper, we explicitly calculate the aether-like corrections for the electromagnetic field in the case when the space-time involves an extra compact spatial dimension besides of usual four dimensions. Our methodology is based on an…

High Energy Physics - Theory · Physics 2023-06-05 J. Furtado , T. Mariz , J. R. Nascimento , A. Yu. Petrov

In the spirit of effective field theory, the Standard-Model Extension (SME) provides a comprehensive framework to systematically probe the possibility of Lorentz/CPT violation. In the pure gravity sector, operators with mass dimension…

General Relativity and Quantum Cosmology · Physics 2018-10-30 Lijing Shao , Quentin G. Bailey

In this work, we develop a potential-based formalism for Maxwell's equations in isotropic media with weak spatial dispersion within the electric quadrupole-magnetic dipole approximation. We introduce an operator form of the constitutive…

Other Condensed Matter · Physics 2025-10-28 Yury Solyaev

We study a number of issues related to the emission and absorption radiation by non-relativistic electrons within the framework of a Lorentz-breaking electrodynamics in (3+1) dimensions. Our main results concern how Planck-like spectrum law…

High Energy Physics - Theory · Physics 2009-01-14 J. M. Fonseca , A. H. Gomes , W. A. Moura-Melo

In this paper, we apply the functional integral methodology to induce the Carroll-Field-Jackiw (CFJ) term in Horava-Lifshitz $z=3$ CPT-violating QED, where Lorentz and CPT breaking for fermion and photon sectors is introduced, and show that…

High Energy Physics - Theory · Physics 2022-01-27 T. Mariz , R. Martinez , J. R. Nascimento , A. Yu. Petrov

It has recently been proven that certain effective wavefunctions in fractional quantum mechanics and condensed matter do not have a locally conserved current; as a consequence, their coupling to the electromagnetic field leads to extended…

General Physics · Physics 2019-01-11 G. Modanese

In this paper, we explicitly calculate the lower CPT-even one-loop quantum corrections in nonminimal Lorentz-violating spinor QED with all possible CPT-even dimension-5 operators. Within our calculations, we restrict ourselves to the cases…

High Energy Physics - Theory · Physics 2024-01-19 T. Mariz , M. Melo , J. R. Nascimento , A. Yu. Petrov

If any violation of Lorentz symmetry exists in the hadron sector, its ultimate origins must lie at the quark level. We continue the analysis of how the theories at these two levels are connected, using chiral perturbation theory.…

High Energy Physics - Phenomenology · Physics 2018-05-22 Rasha Kamand , Brett Altschul , Matthias R. Schindler
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