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In this paper, based on the Standard Model Extended gauge sector, we made a non-minimal coupling in the Klein-Gordon equation which characterizes the Lorentz symmetry violation and, through this nonminimal CPT-odd coupling, we investigate…

High Energy Physics - Theory · Physics 2019-08-13 Ricardo L. L. Vitória , Humberto Belich

We analyze the nonrelativistic quantum dynamics of a single neutral spin half particle, with non-zero magnetic and electric dipole moments, moving in an external electromagnetic field in presence of Lorentz symmetry violation background.…

High Energy Physics - Theory · Physics 2007-11-08 L. R. Ribeiro , E. Passos , C. Furtado , J. R. Nascimento

We study the geometric optics limit of the electrodynamics in the presence of Lorentz violating Chern-Simons term in (3+1) dimensions. The Chern-Simons term couples the dual electromagnetic tensor to an external four-vector and the…

High Energy Physics - Phenomenology · Physics 2025-01-07 Arpan Das , Hriditi Howlader , Alekha C. Nayak

We consider the role of Lorentz symmetry in noncommutative field theory. We find that a Lorentz-violating standard-model extension involving ordinary fields is general enough to include any realisitc noncommutative field theory as a subset.…

High Energy Physics - Phenomenology · Physics 2017-08-23 Charles D. Lane

Low-energy remnant fundamental symmetry violations may be present in nature at levels attainable in upcoming experiments. These effects may arise through spontaneous symmetry breaking in a more complete Lorentz covariant theory underlying…

High Energy Physics - Phenomenology · Physics 2007-05-23 Don Colladay

Violations of Lorentz symmetry are typically associated with modifications of one-particle dispersion relations. The physical effects of such modifications in particle collisions often grow with energy, so that ultrahigh-energy cosmic rays…

High Energy Physics - Phenomenology · Physics 2014-03-25 Ralf Lehnert

This paper is dedicated to the study of interactions between external sources for the electromagnetic field in a Lorentz symmetry breaking scenario. We focus on a particular higher derivative, Lorentz violating interaction that arises from…

High Energy Physics - Theory · Physics 2016-11-17 L. H. C. Borges , A. F. Ferrari , F. A. Barone

In this work, we investigate a theory of linear Weyl gravity coupled to a scalar field and study the scenario in which Lorentz symmetry is broken by a non-vanishing vacuum expectation value of the Weyl field in the flat space limit after…

High Energy Physics - Theory · Physics 2022-10-11 Feng Wu

In this paper, the relativistic quantum dynamics of a scalar particle under the effect of Lorentz symmetry violation determined by a tensor $(K_{F})_{\mu\,\nu\,\alpha\,\beta}$ out of the Standard Model Extension is investigated. We see that…

General Relativity and Quantum Cosmology · Physics 2021-06-25 Faizuddin Ahmed

We consider the noncommutative Standard Model that contains Lorentz symmetry violation as a subset of the Standard Model extension. We introduce a constant electromagnetic field as a background to derive mutual relations between the free…

High Energy Physics - Phenomenology · Physics 2017-10-17 S. Aghababaei , M. Haghighat

Electromagnetism becomes a nonlinear theory having (effective) photon-photon interactions due at least to electron-positron fluctuations in the vacuum. We discuss the consequences of the nonlinearity for the force felt by a charge probe…

High Energy Astrophysical Phenomena · Physics 2013-03-20 Lance Labun , Jan Rafelski

The static limit of Lorentz-violating electrodynamics in vacuum and in media is investigated. Features of the general solutions include the need for unconventional boundary conditions and the mixing of electrostatic and magnetostatic…

High Energy Physics - Phenomenology · Physics 2009-09-25 Quentin G. Bailey , Alan Kostelecky

The goal of our study is to investigate the effects of Lorentz symmetry violation by examining the behavior of photons within the framework of the Standard Model Extension (SME). We show that, from an optical point of view, the…

High Energy Physics - Phenomenology · Physics 2025-09-29 Iman Motie , Brahim Lamine , Alain Blanchard , Rémy Battesti , Carlo Rizzo

We analyze the eigenvalues and eigenfunctions stemming from a recent study of the interaction of a scalar particle with a Coulomb potential in the presence of a background of the violation of the Lorentz symmetry established by a tensor…

Quantum Physics · Physics 2020-10-13 Paolo Amore , Francisco M. Fernández

We start from a Lorentz non-invariant Abelian-Higgs model in 1+3 dimensions, and carry out its dimensional reduction to $D=1+2$. The planar model resulting thereof is composed by a Maxwell-Chern-Simons-Proca gauge sector, a massive scalar…

High Energy Physics - Theory · Physics 2007-05-23 H. Belich , T. Costa-Soares , M. M. Ferreira , J. A. Helayel-Neto , M. T. D. Orlando

A novel nonlinear electrodynamics (NLE) model with two dimensionful parameters is introduced and investigated. Our model obeys the Maxwellian limit and exhibits behaviour similar to the Born-Infeld Lagrangian in the weak field limit. It is…

General Relativity and Quantum Cosmology · Physics 2024-12-09 Anjan Kar

The role of Lorentz symmetry in noncommutative field theory is considered. Any realistic noncommutative theory is found to be physically equivalent to a subset of a general Lorentz-violating standard-model extension involving ordinary…

High Energy Physics - Theory · Physics 2009-09-25 Sean M. Carroll , Jeffrey A. Harvey , V. Alan Kostelecky , Charles D. Lane , Takemi Okamoto

This article aims to study the Lorentz/U(1) gauge symmetry-breaking electrodynamics in the framework of the Standard-Model Extension and analyze the Hamiltonian structure for the theory with a specific dimension $d\leq 4$ of Lorentz…

High Energy Physics - Theory · Physics 2024-04-11 Xiu-Peng Yang , Bao-Fei Li , Tao Zhu

Lorentz invariance violation is a feature of several quantum gravity models in which Lorentz symmetry is broken at high energies, leading to potential changes in particle behavior and interactions. In this study, we investigate vacuum…

High Energy Astrophysical Phenomena · Physics 2025-08-19 Andrey Saveliev , Rafael Alves Batista , Feodor Mishin

Inspired in discussions presented lately regarding Lorentz-violating interaction terms in \cite{13,6}, we propose here a slightly different version for the coupling term. We will consider a modified quantum electrodynamics with violation of…

High Energy Physics - Theory · Physics 2014-08-19 R. Bufalo