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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

Lorentz and CPT invariance are among the symmetries that can be investigated with ultrahigh precision in subatomic physics. Being spacetime symmetries, Lorentz and CPT invariance can be violated by minuscule amounts in many theoretical…

High Energy Physics - Phenomenology · Physics 2016-04-21 Ralf Lehnert

We consider scalar quantum electrodynamics in the Higgs phase and in the presence of Lorentz violation. Spontaneous breaking of the gauge symmetry gives rise to Lorentz-violating gauge field mass terms. These may cause the longitudinal mode…

High Energy Physics - Theory · Physics 2013-05-21 Brett Altschul

Lorentz violation is a significant phenomenon in the framework of quantum physics, with implications for fundamental symmetries. In this paper, we explore the effects of Lorentz violation on quantum entanglement through a black hole…

General Relativity and Quantum Cosmology · Physics 2025-08-04 Wentao Liu , Cuihong Wen , Jieci Wang

The study of topological defects occurring in vector and tensor fields is an intriguing subject and little explored in the literature. In this article, we analyze the topological defects arising from the spontaneous violation of Lorentz…

High Energy Physics - Theory · Physics 2025-10-16 L. P. Colatto , A. L. A. Penna , W. C. Santos

Lorentz violation naturally leads to neutrino oscillations and provides an alternative mechanism that may explain current data. In this work, we discuss possible signals of Lorentz violation in neutrino-oscillation experiments.

High Energy Physics - Phenomenology · Physics 2007-05-23 Matthew Mewes

This paper specifically focuses on the choice of a temporal background field over a spatial one in the context of Lorentz symmetry breaking. By examining the implications of this choice, we aim to understand the effects of Lorentz violation…

High Energy Physics - Phenomenology · Physics 2023-07-04 Alessio T. B. Celeste , Adriano M. Santos

Much research has been done in the latter years on the subject of Lorentz violation induced by Quantum Gravity effects. On the theoretical side it has been shown that both Loop Quantum Gravity and String Theory predict that Lorentz…

General Relativity and Quantum Cosmology · Physics 2007-05-23 H. Vucetich

Solar-neutrino oscillations are considered using a massive model with perturbative Lorentz violation. The adiabatic approximation is used to calculate the effects of Lorentz violation to leading order. The results are more compact than…

High Energy Physics - Phenomenology · Physics 2017-08-23 Jonah E. Bernhard

The gravitational couplings of matter are studied in the presence of Lorentz and CPT violation. At leading order in the coefficients for Lorentz violation, the relativistic quantum hamiltonian is derived from the gravitationally coupled…

General Relativity and Quantum Cosmology · Physics 2011-02-25 Alan Kostelecky , Jay Tasson

Lorentz and CPT symmetries may be violated in new physics that emerges at very high energy scale, i.e., at the Planck scale. The differential cross section of the M\"oller scattering, due to Lorentz violation at finite temperature is…

High Energy Physics - Theory · Physics 2018-04-24 A. F. Santos , Faqir C. Khanna

We study the effects of the minimal extension of the standard model including Lorentz violation on the Casimir force between two parallel conducting plates in vacuum. We provide explicit solutions for the electromagnetic field using scalar…

High Energy Physics - Phenomenology · Physics 2008-11-26 Mariana Frank , Ismail Turan

Spontaneous violation of Lorentz symmetry by the vacuum condensation of an antisymmetric $2$-tensor is considered. The coset construction for nonlinear realization of spacetime symmetries is employed to build the most general low-energy…

High Energy Physics - Theory · Physics 2016-11-23 Carlos A. Hernaski

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

In the presence of background fields that spontaneously violate Lorentz invariance, a matter-antimatter asymmetry can be generated even in thermal equilibrium. In this paper we systematically investigate models of this type, showing that…

High Energy Physics - Phenomenology · Physics 2016-11-09 Jing Shu

Self-consistent solutions in Lorentz-violating gravity theories require the simultaneous satisfaction of: (i) the corresponding Einstein field equations, (ii) the matter field equations, and (iii) the Lorentz-violating field equations. In…

General Relativity and Quantum Cosmology · Physics 2025-09-10 Leandro A. Lessa , Renan B. Magalhães , Manoel M. Ferreira Junior

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

Lorentz-violating theories of gravity typically contain constrained vector fields. We show that the lowest-order coupling of such vectors to $\mathrm{U}(1)$-symmetric scalars can naturally give rise to baryogenesis in a manner akin to the…

High Energy Physics - Phenomenology · Physics 2017-09-14 Jeremy Sakstein , Adam R. Solomon

Lorentz-violating operators involving Standard Model fields are tightly constrained by experimental data. However, bounds are more model-independent for Lorentz violation appearing in purely gravitational couplings. The spontaneous breaking…

High Energy Physics - Theory · Physics 2010-04-05 Michael L. Graesser , Alejandro Jenkins , Mark B. Wise

In this proceedings, similarities between the structure of theories with Lorentz violation and theories with constant torsion in flat spacetime are exploited to place bounds on torsion components. An example is given showing the analysis…

General Relativity and Quantum Cosmology · Physics 2016-11-09 Neil Russell