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Lorentz invariance is a cornerstone of modern physics, yet its possible violation remains both theoretically intriguing and experimentally significant. In this work, using quantum electrodynamics as an example, we explore how Lorentz…

High Energy Physics - Phenomenology · Physics 2026-01-21 Zurab Kepuladze

The violation of Lorentz symmetry can arise in a variety of approaches to fundamental physics. For the description of the associated low-energy effects, a dynamical framework known as the Standard-Model Extension has been developed. This…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ralf Lehnert

In this work, we formulate the theory of Lorentz-violating scalar Quantum Chromodynamics with an arbitrary non-Abelian gauge group. This theory belongs to the class of models encompassed by the standard model extension framework. At the…

High Energy Physics - Theory · Physics 2023-06-05 B. Altschul , L. C. T. Brito , J. C. C. Felipe , S. Karki , A. C. Lehum , A. Yu. Petrov

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

The current paper is dedicated to determining perturbative expansions for Lagrangians describing classical, relativistic, pointlike particles subject to Lorentz violation parameterized by the nonminimal Standard-Model Extension (SME). An…

High Energy Physics - Theory · Physics 2019-04-17 M. Schreck

Lorentz invariance is one of the fundamental principles of physics, and, as such, it must be experimentally tested. The purpose of this work is to obtain, within the Standard-Model Extension, the dynamics of a Lorentz-violating spinor in a…

High Energy Physics - Phenomenology · Physics 2013-11-12 Yuri Bonder

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

In this article the classical, relativistic Lagrangian based on the isotropic fermion sector of the Lorentz-violating (minimal) Standard-Model Extension is considered. The motion of the associated classical particle in an external…

High Energy Physics - Theory · Physics 2015-05-13 M. Schreck

The experimental detection of the effects of noncommuting coordinates in electrodynamic phenomena depends on the magnitude of |\theta B|, where \theta is the noncommutativity parameter and B a background magnetic field. With the present…

High Energy Physics - Phenomenology · Physics 2011-06-08 P. Castorina , A. Iorio , D. Zappalá

The Lorentz reciprocity is a fundamental property in electromagnetism and well known to break down due to an external magnetic field. With a fictitious or imaginary vector potential, however, its behavior is largely unknown. Here we show…

Optics · Physics 2024-10-04 Jiecheng Lyu , Zihe Gao , Liang Feng , Li Ge

The effects of Lorentz and CPT violations on macroscopic objects are explored. Effective composite coefficients for Lorentz violation are derived in terms of coefficients for electrons, protons, and neutrons in the Standard-Model Extension,…

High Energy Physics - Phenomenology · Physics 2020-12-16 Matthew Mewes

We study the impact of general disformal metric transformations on fermions, which shift the gravitational metric by an additional rank-2 tensor. This tensor can in principle be constructed from scalar-field gradients, vector fields, or…

High Energy Physics - Phenomenology · Physics 2025-10-10 Guillem Domènech , Apostolos Tsabodimos , Nathaniel Sherrill , Alexander Ganz , Fiona Kirk

For a class of Hamiltonians of $XXZ$ spin chains in a uniform external magnetic field that are small quantum perturbations of an Ising Hamiltonian, it is shown that the spectral gap above the ground-state energy remains strictly positive…

Mathematical Physics · Physics 2025-01-22 Simone Del Vecchio , Jürg Fröhlich , Alessandro Pizzo , Alessio Ranallo

Stability and causality are investigated for quantum field theories incorporating Lorentz and CPT violation. Explicit calculations in the quadratic sector of a general renormalizable lagrangian for a massive fermion reveal that no…

High Energy Physics - Theory · Physics 2008-11-26 Alan Kostelecky , Ralf Lehnert

We present a Lorentz-symmetry violating Lagrangian for free fermions, which is local but not Hermitian, whereas the corresponding Hamiltonian is Hermitian but not local. A specific feature of the model is that the dispersion relation is…

High Energy Physics - Theory · Physics 2014-12-10 Jean Alexandre

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

The effective-Lagrangian description of Lorentz-invariance violation provided by the so-called Standard-Model Extension covers all the sectors of the Standard Model, allowing for model-independent studies of high-energy phenomena that might…

High Energy Physics - Phenomenology · Physics 2021-03-10 J. Alfonso Ahuatzi-Avendaño , Javier Montaño , Héctor Novales-Sánchez , Mónica Salinas , J. Jesús Toscano

We present a method to calculate the nonrelativistic hamiltonian for the minimal Standard-Model Extension matter sector in a uniform gravitational field. The resulting hamiltonian coincides with earlier results in the corresponding limits…

High Energy Physics - Phenomenology · Physics 2017-08-23 Yuri Bonder

The search of the anomalous couplings is one of the possible ways to find any deviation from the Standard Model. The effective field theory is used to parameterize the anomalous couplings in the Lagrangian with the operators of higher…

High Energy Physics - Phenomenology · Physics 2022-11-24 Artur E. Semushin , Evgeny Yu. Soldatov

We propose a new \emph{CPT}-even and Lorentz-violating nonminimal coupling between fermions and Abelian gauge fields involving the CPT-even tensor $(K_{F})_{\mu\nu\alpha\beta}$ of the standard model extension. We thus investigate its…

High Energy Physics - Theory · Physics 2012-12-27 R. Casana , M. M. Ferreira , R. V. Maluf , F. E. P. dos Santos