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Recently, Kostelecky [V.A. Kostelecky, Phys. Lett. B 701, 137 (2011)] proposed that the spontaneous Lorentz invariance violation (sLIV) is related to Finsler geometry. Finsler spacetime is intrinsically anisotropic and induces naturally…

High Energy Physics - Phenomenology · Physics 2012-10-15 Zhe Chang , Sai Wang

The connection between Lorentz invariance violation and noncommutativity of fields in a quantum field theory is investigated. A new dispersion relation for a free field theory with just one additional noncommutative parameter is obtained.…

High Energy Physics - Theory · Physics 2009-11-07 J. M. Carmona , J. L. Cortes , J. Gamboa , F. Mendez

Astrophysical, terrestrial, and space-based searches for Lorentz violation are very briefly reviewed. Such searches are motivated by the fact that all superunified theories (and other theories that attempt to include quantum gravity) have…

High Energy Physics - Theory · Physics 2009-11-10 Roland E. Allen , Seiichirou Yokoo

Lorentz invariance is one of the basic ingredients of quantum field theories and violations of it are stringently constrained experimentally. Therefore, the possibility of Lorentz violation (LV) is usually realized at very high energy…

High Energy Physics - Phenomenology · Physics 2021-05-17 Andreas Crivellin , Fiona Kirk , Marco Schreck

Lorentz invariance violation (LIV) is a phenomenon featuring in various quantum gravity models whereby Lorentz symmetry is broken at high energies, potentially impacting the behaviour of particles and their interactions. Here we investigate…

High Energy Astrophysical Phenomena · Physics 2025-06-30 Andrey Saveliev , Rafael Alves Batista

Lorentz invariance (LI) is a foundational principle of modern physics, yet its possible violation (LIV) remains an intriguing window to physics beyond the Standard Model. While stringent constraints exist in the electromagnetic and hadronic…

High Energy Physics - Phenomenology · Physics 2025-12-30 Z. Kepuladze , J. Jejelava

We study a modification of electromagnetism which violates Lorentz invariance at large distances. In this theory, electromagnetic waves are massive, but the static force between charged particles is Coulomb not Yukawa. At very short…

High Energy Physics - Theory · Physics 2009-11-11 Gia Dvali , Michele Papucci , Matthew D. Schwartz

This paper explores some propagation features of electrodynamics in a Lorentz-violating scenario, focusing on a specific CPT-even term within the photon sector of the Standard Model Extension (SME). The study derives a covariant dispersion…

High Energy Physics - Theory · Physics 2026-02-17 E. Goulart , J. E. Ottoni , J. C. C. Felipe

We study the effects of Lorentz symmetry violation on the scalar CMBR bispectrum. Our quantitative results show that there can be enhancements in the bispectrum for specific configurations in momentum space, when the modified dispersion…

High Energy Physics - Theory · Physics 2015-05-28 Diego Chialva

Using the recent observation of gravitational waves (GW) produced by a black-hole merger, we place a lower bound on the energy above which a multifractal spacetime would display an anomalous geometry and, in particular, violations of…

General Relativity and Quantum Cosmology · Physics 2017-05-09 Gianluca Calcagni

A popular framework for exploring Lorentz violation is the Standard Model Extension. This extension contains a large number of parameters that can be bounded in various experiments. Most studies, however, focus on the fermion or photon…

High Energy Physics - Phenomenology · Physics 2019-11-20 Alexander Michel , Marc Sher

The formulation and some experimental implications of a general Lorentz-violating extension of the standard model are reviewed. The theory incorporates both CPT-preserving and CPT-breaking terms. It is otherwise a conventional quantum field…

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

We investigate constraints on Lorentz invariance violation in the neutrino sector from a joint analysis of big bang nucleosynthesis and the cosmic microwave background. The effect of Lorentz invariance violation during the epoch of big bang…

Cosmology and Nongalactic Astrophysics · Physics 2017-06-15 Wei-Ming Dai , Zong-Kuan Guo , Rong-Gen Cai , Yuan-Zhong Zhang

Trying to combine standard quantum field theories with gravity leads to a breakdown of the usual structure of space-time at around the Planck length, 1.6*10^{-35} m, with possible violations of Lorentz invariance. Calculations of…

General Relativity and Quantum Cosmology · Physics 2010-04-06 John Collins , Alejandro Perez , Daniel Sudarsky , Luis Urrutia , Héctor Vucetich

We explore the interplay of matter with quantum gravity with a preferred frame to highlight that the matter sector cannot be protected from the symmetry-breaking effects in the gravitational sector. Focusing on Abelian gauge fields, we show…

High Energy Physics - Theory · Physics 2020-07-15 Astrid Eichhorn , Alessia Platania , Marc Schiffer

In this work, we consider the effects of the Lorentz-violating (LV) term $ v_{\mu}\bar{\psi}\gamma ^{\mu}\psi $ belonging to the fermion sector of the extended standard model on the dynamics of a quantum two-level system. We examine how its…

High Energy Physics - Theory · Physics 2008-03-31 M. M. Ferreira , A. R. Gomes

Lorentz violation emerged from a fundamental description of nature may impact, at low energies, the Maxwell sector, so that contributions from such new physics to the electromagnetic vertex would be induced. Particularly, nonbirefringent…

High Energy Physics - Phenomenology · Physics 2014-09-03 A. Moyotl , H. Novales-Sánchez , J. J. Toscano , E. S. Tututi

Recently, first limits on putative Lorentz invariance violation coefficients in the pure gravity sector were determined by the reanalysis of short-range gravity experiments. Such experiments search for new physics at sidereal frequencies.…

General Relativity and Quantum Cosmology · Physics 2016-12-21 Cheng-Gang Shao , Ya-Fen Chen , Yu-Jie Tan , Jun Luo , Shan-Qing Yang , Michael Edmund Tobar

Various studies have already considered radiative corrections in Lorentz-violating models unveiling many instances where a minimal or nonminimal operator generates, via loop corrections, a contribution to the photon sector of the…

High Energy Physics - Phenomenology · Physics 2019-07-03 A. F. Ferrari

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