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We study radiative corrections on the photon propagator from the electroweak sector of the minimal Lorentz- and $CPT$-violating Standard Model Extension. We derive the most general Lorentz-violating ghost sector from BRST symmetry and…

High Energy Physics - Phenomenology · Physics 2019-01-09 A. I. Hernández-Juárez , J. Montaño , H. Novales-Sánchez , M. Salinas , J. J. Toscano , O. Vázquez-Hernández

The paper describes a formulation of discrete scalar wave propagation in an inhomogeneous medium by the use of elementary processes obeying a discrete Huygens' principle and satisfying fundamental symmetries such as time-reversal,…

Disordered Systems and Neural Networks · Physics 2007-05-23 Samuel De Toro Arias , Christian Vanneste

We set constraints on O(E/M) Lorentz Violation in QED in an effective field theory framework. A major consequence of such assumptions is the modification of the dispersion relations for electrons/positrons and photons, which in turn can…

Astrophysics · Physics 2008-11-26 Luca Maccione , Stefano Liberati , Annalisa Celotti , John G. Kirk

We analyze recent results concerning the hypothesis of a privileged direction in the space-time that is made by considering a background of the Lorentz symmetry violation determined by a fixed spacelike vector field and the analysis of…

Quantum Physics · Physics 2021-01-06 Paolo Amore , Francisco M. Fernández

Many practical applications require the analysis of electromagnetic scattering properties of local structures using different sources of illumination. The Optical Theorem (OT) is a useful result in scattering theory, relating the extinction…

Optics · Physics 2020-08-11 Irving Rondon , Francisco Soto-Eguibar

Within the electroweak theory, it is shown that the form of the total Lagrangian is invariant, under local phase changes of the basis states for leptons and under local changes of the mathematical spaces employed for the description of…

General Physics · Physics 2019-01-21 Wen-ge Wang

The geometric representation at a fixed frequency of the wavevector (or dispersion) surface $\omega(\vec k)$ for lossless, homogeneous dielectric--magnetic uniaxial materials is explored, when the elements of the relative permittivity and…

Among the most studied approaches to introduce the breaking of Lorentz symmetry, the generic approach is one of the most frequently used for phenomenology, it converges on the modification of the free particle dispersion relation. Using…

High Energy Astrophysical Phenomena · Physics 2016-11-23 H. Martínez-Huerta , A. Pérez-Lorenzana

We investigate the breaking of Lorentz symmetry caused by the inclusion of an external four-vector via a Chern-Simons-like term in the Duffin-Kemmer-Petiau Lagrangian for massless and massive spin-one fields. The resulting equations of…

High Energy Physics - Theory · Physics 2018-11-14 H. Belich , E. Passos , M. de Montigny , E. S. Santos

By considering linear-order departures from general relativity, we compute a novel expression for the weak lensing convergence power spectrum under alternative theories of gravity. This comprises an integral over a 'kernel' of general…

Cosmology and Nongalactic Astrophysics · Physics 2015-04-22 C. Danielle Leonard , Tessa Baker , Pedro G. Ferreira

Lorentz invariance belongs to the fundamental symmetries of nature. It is basic for the successful Standard Model of Particle Physics. Nevertheless, within the last decades, Lorentz invariance has been repeatedly questioned. In fact, there…

General Relativity and Quantum Cosmology · Physics 2024-10-01 Yuri N. Obukhov , Friedrich W. Hehl

Nonrelativistic systems exhibiting collective magnetic behavior are analyzed in the framework of effective Lagrangians. The method, formulating the dynamics in terms of Goldstone bosons, allows to investigate the consequences of spontaneous…

Condensed Matter · Physics 2009-10-31 Christoph P. Hofmann

We study bandstructure properties of periodic optical systems composed of lossy and intrinsically dispersive materials. To this end, we develop an analytical framework based on adjoint modes of a lossy periodic electromagnetic system and…

Optics · Physics 2018-03-19 Christian Wolff , Kurt Busch , N. Asger Mortensen

Tensors are a fundamental data structure for many scientific contexts, such as time series analysis, materials science, and physics, among many others. Improving our ability to produce and handle tensors is essential to efficiently address…

Machine Learning · Statistics 2026-02-12 Wilson G. Gregory , Josué Tonelli-Cueto , Nicholas F. Marshall , Andrew S. Lee , Soledad Villar

The rich structure of solid state physics provides us with Dirac materials the effective theory of which enjoys the Lorentz symmetry. In non-symmorphic lattices, the Lorentz symmetry will be deformed in a way that the null energy-momentum…

Mesoscale and Nanoscale Physics · Physics 2019-08-08 Zahra Jalali-Mola , S. A. Jafari

The wave equation for spinless particles with the Lorentz violating term is considered. We formulate the third-order in derivatives wave equation leading to the modified dispersion relation. The first-order formalism is considered and the…

High Energy Physics - Theory · Physics 2013-03-04 S. I. Kruglov

We address the geometrical structure of the "skewed" correlator of two space-like separated (almost) oppositely directed Wilson lines. Similar objects occur in the analysis of the transverse-momentum broadening probability function, the…

High Energy Physics - Phenomenology · Physics 2014-02-06 I. O. Cherednikov , J. Lauwers , P. Taels

Within all approaches to quantum gravity small violations of the Einstein Equivalence Principle are expected. This includes violations of Lorentz invariance. While usually violations of Lorentz invariance are introduced through the coupling…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Claus Laemmerzahl , Dennis Lorek , Hansjoerg Dittus

This work reviews our current understanding of Cherenkov-type processes in vacuum that may occur due to a possible violation of Lorentz invariance. The description of Lorentz violation is based on the Standard Model Extension (SME). To get…

High Energy Physics - Theory · Physics 2019-09-25 Marco Schreck

Conventional theories of electromagnetic waves in a medium assume that the energy propagating with the light pulse in the medium is entirely carried by the field. Thus, the possibility that the optical force field of the light pulse would…

Optics · Physics 2017-07-05 Mikko Partanen , Teppo Häyrynen , Jani Oksanen , Jukka Tulkki