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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

The modified Dirac equation in the Lorentz-violating Standard-Model Extension (SME) is considered. Within this framework, the construction of a hermitian Hamiltonian to all orders in the Lorentz-breaking parameters is investigated, discrete…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ralf Lehnert

In this paper, we derive the general leading-order classical Lagrangian covering all fermion operators of the nonminimal Standard-Model Extension (SME). Such a Lagrangian is considered to be the point-particle analog of the effective field…

High Energy Physics - Theory · Physics 2018-04-04 J. A. A. S. Reis , M. Schreck

The framework of the Standard-Model Extension (SME) provides a relativistic quantum field theory for the study of Lorentz violation. The classical, nonrelativistic equations of motion can be extracted as a limit that is useful in various…

High Energy Physics - Phenomenology · Physics 2017-08-23 David W. Atkinson , McCoy Becker , Jay D. Tasson

The idea that local Lorentz invariance might be violated due to new physics that goes beyond the Standard Model of particle physics and Einstein's General Relativity has received a great deal of interest in recent years. At the same time,…

High Energy Physics - Phenomenology · Physics 2015-06-12 Robert Bluhm

The Standard Model Extension (SME) provides the most general observer-independent field theoretical framework for investigations of Lorentz violation. The SME lagrangian by definition contains all Lorentz-violating interaction terms that…

High Energy Physics - Phenomenology · Physics 2008-11-26 Robert Bluhm

We present new results for classical-particle propagation subject to Lorentz violation. Our analysis is dedicated to spin-nondegenerate operators of arbitrary mass dimension provided by the fermion sector of the Standard-Model Extension. In…

High Energy Physics - Theory · Physics 2021-06-02 João A. A. S Reis , Marco Schreck

This article gives a brief summary on recently obtained classical lagrangians for the nonminimal fermion sector of the Standard-Model Extension (SME). Such lagrangians are adequate descriptions of classical particles that are subject to a…

High Energy Physics - Phenomenology · Physics 2016-07-22 M. Schreck

The current paper introduces classical, relativistic Lagrangians for point-particle analogs to the field theory description of the Standard-Model Extension (SME) for Lorentz violation. Lagrangians of a form alternative to those derived and…

High Energy Physics - Phenomenology · Physics 2026-03-10 João A. A. S. Reis , Marco Schreck , Ronaldo Thibes

Radiative corrections in Lorentz violating (LV) models have already received a lot of attention in the literature in recent years, with many instances where a LV operator in one sector of the Standard Model Extension (SME) generates, via…

High Energy Physics - Theory · Physics 2020-05-25 A. F. Ferrari , J. R. Nascimento , A. Yu. Petrov

The current work focuses on the process of vacuum Cherenkov radiation for Lorentz-violating fermions that are described by the minimal Standard-Model Extension (SME). To date, most considerations of this important hypothetical process have…

High Energy Physics - Phenomenology · Physics 2017-12-05 M. Schreck

We derive a modified dispersion relation (MDR) in the Lorentz violation extension of quantum electrodynamics (QED) sector in the standard model extension (SME) framework. Based on the extended Dirac equation and corresponding MDR, we…

High Energy Physics - Phenomenology · Physics 2010-10-27 Zhi Xiao , Bo-Qiang Ma

In the current paper, we construct a Lorentz-violating electrodynamics in (1+2) spacetime dimensions from the electromagnetic sector of the nonminimal Standard-Model Extension (SME) in (1+3) dimensions. Subsequently, we study some of the…

High Energy Physics - Theory · Physics 2019-12-04 Manoel M. Ferreira , João A. A. S. Reis , Marco Schreck

The Standard-Model Extension (SME) provides a theoretical framework for tests of Lorentz invariance. To date, most studies have focused on the minimal SME, which restricts attention to operators of renormalizable dimension. Here, we review…

High Energy Physics - Phenomenology · Physics 2017-08-23 Matthew Mewes

This article is devoted to finding classical point-particle equivalents for the fermion sector of the nonminimal Standard-Model Extension (SME). For a series of nonminimal operators, such Lagrangians are derived at first order in Lorentz…

High Energy Physics - Theory · Physics 2016-05-18 M. Schreck

General violations of Lorentz symmetry can be described by the Standard-Model Extension (SME) framework. The SME predicts modifications to existing physics and can be tested in high-precision experiments. By looking for small deviations…

General Relativity and Quantum Cosmology · Physics 2016-11-01 Rui Xu

In the current paper the properties of a quantum field theory based on certain sets of Lorentz-violating coefficients in the nonminimal fermion sector of the Standard-Model Extension are analyzed. In particular, three families of…

High Energy Physics - Theory · Physics 2014-11-05 M. Schreck

Standard-model extension (SME) is an effective field theory introducing all possible Lorentz-violating (LV) operators to the standard model (SM) and general relativity (GR). In the pure-gravity sector of minimal SME (mSME), nine…

General Relativity and Quantum Cosmology · Physics 2014-03-25 Lijing Shao

The role of the gravitational sector in the Lorentz- and CPT-violating Standard-Model Extension (SME) is studied. A framework is developed for addressing this topic in the context of Riemann-Cartan spacetimes, which include as limiting…

High Energy Physics - Theory · Physics 2009-07-09 Alan Kostelecky

This paper focuses on additional inspections concerning the fermionic sector of the Standard Model Extension (SME). In this context, our main effort in this contribution is to investigate effects of Lorentz-symmetry violation (LSV) on the…

High Energy Physics - Phenomenology · Physics 2024-09-17 João Paulo S. Melo , José A. Helayël-Neto
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