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The propagation of neutrinos in a gravitational field is studied. A method of calculating a covariant quantum-mechanical phase in a curved space-time is presented. The result is used to calculate gravitational effects on the neutrino…

High Energy Physics - Phenomenology · Physics 2014-11-17 N. Fornengo , C. Giunti , C. W. Kim , J. Song

A covariant and invariant theory of navigation in curved space-time with respect to electromagnetic beacons is written in terms of J. L. Synge's two-point invariant world function. Explicit equations are given for navigation in space-time…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Thomas B. Bahder

The classical free-space solutions of Maxwell's equations for light propagation in one dimension include wave packets of any shape that travel at the speed of light. This includes highly-localised wave packets that remain localised at all…

Quantum Physics · Physics 2022-09-19 Daniel Hodgson , Jake Southall , Robert Purdy , Almut Beige

A detailed analysis of vacuum Cherenkov radiation in spacelike Maxwell-Chern-Simons (MCS) theory is presented. A semiclassical treatment reproduces the leading terms of the tree-level result from quantum field theory. Moreover, certain…

High Energy Physics - Theory · Physics 2008-11-26 C. Kaufhold , F. R. Klinkhamer

Present models describing the interaction of quantum Maxwell and gravitational fields predict a breakdown of Lorentz invariance and a non standard dispersion relation in the semiclassical approximation. Comparison with observational data…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Reinaldo J. Gleiser , Carlos N. Kozameh , Florencia Parisi

By starting with the Maxwell theory of electromagnetism, we study the change of polarization state of light transmitting through optically anisotropic media. The basic idea is to reduce the Maxwell equation to the Schroedinger like equation…

Condensed Matter · Physics 2009-10-30 Hiroshi Kuratsuji , Shouhei Kakigi

We take as starting point the planar model arising from the dimensional reduction of the Maxwell Electrodynamics with the (Lorentz-violating) Carroll-Field-Jackiw term. We then write and study the extended Maxwell equations and the…

High Energy Physics - Theory · Physics 2016-08-16 H. Belich , M. M. Ferreira , J. A. Helayël-Neto , M. T. D. Orlando

We consider a CPT-noninvariant scalar model and a modified version of quantum electrodynamics with an additional photonic Chern-Simons-like term in the action. In both cases, the Lorentz violation traces back to a spacelike background…

High Energy Physics - Theory · Physics 2008-11-26 C. Kaufhold , F. R. Klinkhamer

The propagation of neutrinos in a gravitational field is studied by developing a method of calculating a covariant quantum-mechanical phase in a curved space-time. The result is applied to neutrino propagation in the Schwarzschild metric.

High Energy Physics - Phenomenology · Physics 2015-06-25 N. Fornengo , C. Giunti , C. W. Kim , J. Song

In this paper, we investigate an electrodynamics in which the physical modes are coupled to a Lorentz-violating (LV) background by means of a higher-derivative term. We analyze the modes associated with the dispersion relations (DRs)…

High Energy Physics - Theory · Physics 2018-07-04 Rodolfo Casana , Manoel M. Ferreira, , Letícia Lisboa-Santos , Frederico E. P. dos Santos , Marco Schreck

We consider relativistic quantum field theory in the presence of an external electric potential in a general curved space-time geometry. We utilise Fermi coordinates adapted to the time-like geodesic to describe the low-energy physics in…

General Relativity and Quantum Cosmology · Physics 2022-01-10 Qasem Exirifard , Ebrahim Karimi

We present a covariant approach to the problem of light beam propagation in a spacetime. We develop our considerations within the framework of classical geometric optics in general relativity. Using the concept of a screen surface…

General Relativity and Quantum Cosmology · Physics 2020-01-10 Krzysztof Głód

Exact analytic expressions for planetary orbits and light trajectories in the Schwarzschild geometry are presented. A new parameter space is used to characterize all possible planetary orbits. Different regions in this parameter space can…

General Relativity and Quantum Cosmology · Physics 2010-04-30 F. T. Hioe , David Kuebel

Various applications of Chern-Simons theory in algebraic topology, in particular knot theory, condensed matter physics and cosmology are reviewed. Special attention is paid to appearances of Chern-Simons actions in the theory of the…

Mathematical Physics · Physics 2026-03-27 Jürg Fröhlich

We propose a novel concept of astrophysical mirroring in the schwarzschild framework, which emerges as a direct consequence of gravitational lensing effects occurring in the immediate vicinity of extremely dense massive objects within…

General Relativity and Quantum Cosmology · Physics 2026-04-08 Bikramarka S Choudhury , Aritra Sanyal , Md Khalid Hossain , Farook Rahaman

Cosmological limits on Lorentz invariance breaking in Chern-Simons $(3+1)-dimensional$ electrodynamics are used to place limits on torsion. Birefrigence phenomena is discussed by using extending the propagation equation to Riemann-Cartan…

High Energy Physics - Theory · Physics 2007-05-23 L. C. Garcia de Andrade

[abridged] Chern-Simons (CS) modified gravity is a 4D effective theory that descends both from string theory and loop quantum gravity, and that corrects the Einstein-Hilbert action by adding the product of a scalar field and the…

General Relativity and Quantum Cosmology · Physics 2009-11-06 Carlos F. Sopuerta , Nicolas Yunes

We propose to develop the Kalb-Ramond theory in four-dimensional spacetime at the level of a classical field theory by following the same formal development steps as in Maxwell theory of standard electrodynamics. Solutions of Kalb-Ramond…

General Relativity and Quantum Cosmology · Physics 2022-06-15 Bertrand Berche , Sébastien Fumeron , Fernando Moraes

A non-minimal photon-torsion axial coupling in the quantum electrodynamics (QED) framework is considered. The geometrical optics in Riemann-Cartan spacetime is considering and a plane wave expansion of the electromagnetic vector potential…

High Energy Physics - Theory · Physics 2007-05-23 L. C. Garcia de Andrade

One potentially realistic specification for devices designed with transformation optics is that they operate with high precision in curved space-time, such as Earth orbit. This raises the question of what, if any, role does space-time…

Optics · Physics 2012-01-20 Robert T. Thompson
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