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We investigate the Casimir effect as a probe of Lorentz symmetry violation for a real scalar field confined to a rectangular waveguide with Dirichlet boundary conditions. The field dynamics is governed by a Lorentz-violating extension of…

High Energy Physics - Theory · Physics 2026-03-10 M. B. Cruz , E. R. Bezerra de Mello , A. Martín-Ruiz

The notion that gravitation might lead to a breakdown of standard space-time structure at small distances, and that this might affect the propagation of ordinary particles has led to a program to search for violations of Lorentz invariance…

High Energy Physics - Theory · Physics 2007-05-23 John Collins , Alejandro Perez , Daniel Sudarsky

In this paper, we study the generalized Klein-Gordon oscillator equation under the effects of the violation of Lorentz Symmetry defined by a tensor field $(K_F)_{\mu\nu\alpha\beta}$ out of the Standard Model Extension (SME). We consider a…

Quantum Physics · Physics 2023-04-27 Faizuddin Ahmed

We have studied a (1+2)-dimensional Lorentz-violating model which is obtained from the dimensional reduction of the nonbirefringent sector of the CPT-even electrodynamics of the standard model extension (SME). The planar theory contains a…

High Energy Physics - Theory · Physics 2012-03-08 Rodolfo Casana , Manoel M. Ferreira , Roemir P. M. Moreira

In this paper I study the Casimir effect caused by a charged and massive scalar field that breaks Lorentz invariance in a CPT-even, aether-like manner. The breaking of Lorentz invariance is implemented by a constant space-like vector…

High Energy Physics - Theory · Physics 2025-06-13 Andrea Erdas

The pure-gravity sector of the minimal Standard-Model Extension is studied in the limit of Riemann spacetime. A method is developed to extract the modified Einstein field equations in the limit of small metric fluctuations about the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Quentin G. Bailey , Alan Kostelecky

We revisit here the naturalness problem of Lorentz invariance violations on a simple toy model of a scalar field coupled to a fermion field via a Yukawa interaction. We first review some well-known results concerning the low-energy…

High Energy Physics - Theory · Physics 2018-07-19 Alessio Belenchia , Andrea Gambassi , Stefano Liberati

As a basic symmetry of Einstein's theory of special relativity, Lorentz invariance has withstood very strict tests. But there are still motivations for such tests. Firstly, many theories of quantum gravity suggest violations of Lorentz…

High Energy Astrophysical Phenomena · Physics 2022-10-06 Jun-Jie Wei

In this contribution, we discuss the He-McKellar-Wilkens effect and the Scalar Aharonov-Bohm effect for neutral particles based on the Lorentz symmetry violation background, by showing that the background of the Lorentz symmetry violation…

High Energy Physics - Theory · Physics 2015-06-04 K. Bakke , E. O. Silva , H. Belich

Geometric phases can manifest when a relativistic quantum particle moves cyclically along a loop in parameter space. The phase can be affected by the presence of a background field and can be accompanied by nontrivial topological features.…

High Energy Physics - Phenomenology · Physics 2025-12-02 Alan Kostelecky , Ralf Lehnert , Marco Schreck , Babak Seradjeh

We study the effect of spontaneous Lorentz violation on neutrinos. We consider two kinds of effects: static effects, where the neutrino acquires a Lorentz-violating dispersion relation, and dynamic effects, which arise from the interactions…

High Energy Physics - Phenomenology · Physics 2013-05-29 Yuval Grossman , Can Kilic , Jesse Thaler , Devin G. E. Walker

This talk summarizes some theoretical features and experimental implications of a general Lorentz-violating extension of the minimal SU(3) x SU(2) x U(1) standard model that allows for both CPT-even and CPT-odd effects. The theory would…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alan Kostelecky

We study global topological defects in the Jacobson-Corley model which breaks Lorentz symmetry and involves up to fourth order derivatives. There is a window in the parameter space in which no solution exists. Otherwise, different profiles…

High Energy Physics - Phenomenology · Physics 2016-09-06 Musongela Lubo

In the last decade, a variety of high-precision experiments have searched for miniscule violations of Lorentz symmetry. These searches are largely motivated by the possibility of uncovering experimental signatures from a fundamental unified…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Quentin G. Bailey

In this work I study the Casimir effect caused by a charged and massive scalar field that violates Lorentz symmetry in an aether-like and CPT even manner, by direct coupling between the field derivatives and two fixed orthogonal unit…

High Energy Physics - Theory · Physics 2025-01-07 Andrea Erdas

In this work, we analyze a gravity model with higher derivatives including a CPT-even Lorentz-violating term. In principle, the model could be a low-energy limit of a Lorentz-invariant theory presenting the violation of Lorentz symmetry as…

High Energy Physics - Theory · Physics 2014-09-22 C. Hernaski , H. Belich

We introduce a new Lorentz-violating modification to a scalar quantum field theory. This interaction, while super-renormalizable by power counting, is fundamentally different from the interactions previously considered within the…

High Energy Physics - Theory · Physics 2009-11-10 B. Altschul

In this paper we consider a class of systems of two coupled real scalar fields in bidimensional spacetime, with the main motivation of studying classical or linear stability of soliton solutions. Firstly, we present the class of systems and…

High Energy Physics - Theory · Physics 2008-11-26 D. Bazeia , J. R. S. Nascimento , R. F. Ribeiro , D. Toledo

Although Lorentz symmetry has been tested at low energy with extremely good accuracy, its validity at very high energy is much less well established. If Lorentz symmetry violation (LSV) is energy-dependent (e.g. $\propto E^2$), it can be of…

General Physics · Physics 2016-10-26 Luis Gonzalez-Mestres

It was recently suggested that possible small volations of Lorentz invariance could explain the existence of UHECR beyond the GZK cutoff and the observations of multi-TeV gamma-rays from Mkn 501. Our analysis of Lorentz-violating kinematics…

Astrophysics · Physics 2011-05-12 H. Vankov , T. Stanev