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We consider here the possibility of quantum gravity induced violation of Lorentz symmetry (LV). Even if suppressed by the inverse Planck mass such LV can be tested by current experiments and astrophysical observations. We review the…

Astrophysics · Physics 2008-11-26 Ted Jacobson , Stefano Liberati , David Mattingly

Lorentz and diffeomorphism violations are studied in linearized gravity using effective field theory. A classification of all gauge-invariant and gauge-violating terms is given. The exact covariant dispersion relation for gravitational…

General Relativity and Quantum Cosmology · Physics 2018-02-23 Alan Kostelecky , Matthew Mewes

Lorentz invariance is a fundamental symmetry of both Einstein's theory of general relativity and quantum field theory. However, deviations from Lorentz invariance at energies approaching the Planck scale are predicted in many quantum…

High Energy Astrophysical Phenomena · Physics 2023-04-05 Jun-Jie Wei , Xue-Feng Wu

Lorentz violation (LV) is predicted by some quantum gravity (QG) candidates, wherein the canonical energy-momentum dispersion relation, $E^2=p^2+m^2$, is modified. Consequently, new phenomenons beyond the standard model are predicted.…

High Energy Physics - Phenomenology · Physics 2010-12-07 Lijing Shao , Bo-Qiang Ma

Astroparticle physics has recently reached a new status of precision due to the construction of new observatories, operating innovative technologies and the detection of large numbers of events and sources. The precise measurements of…

High Energy Astrophysical Phenomena · Physics 2019-06-17 H. Martínez-Huerta

If quantum gravity violates Lorentz symmetry, the prospects for observational guidance in understanding quantum gravity improve considerably. This article briefly reviews previous work on Lorentz violation (LV) and discusses aspects of the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Ted Jacobson , Stefano Liberati , David Mattingly

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

Lorentz invariance is one of the foundations of modern physics; however, Lorentz violation may happen from the perspective of quantum gravity, and plenty of studies on Lorentz violation have arisen in recent years. As a good tool to explore…

General Relativity and Quantum Cosmology · Physics 2023-05-03 Jie Zhu , Bo-Qiang Ma

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

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 plays a fundamental role in modern physics. However, tiny violations of the Lorentz invariance may arise in some candidate quantum gravity theories. Prominent signatures of the gravitational Lorentz invariance violation…

General Relativity and Quantum Cosmology · Physics 2021-11-12 Ziming Wang , Lijing Shao , Chang Liu

Lorentz symmetry is one of the cornerstone of both general relativity and the standard model of particle physics. We study the violation of Lorentz symmetry in some basic phenomena in atomic physics. Using the Green's function, and the…

Quantum Physics · Physics 2022-02-28 Z. Shafeei , S. A. Alavi

A theory with the action combining the Einstein--Hilbert term and graviton mass terms violating Lorentz invariance is considered at linearized level about Minkowskian background. It is shown that with one of the masses set equal to zero,…

High Energy Physics - Theory · Physics 2007-05-23 V. Rubakov

The search of violation of Lorentz symmetry, or Lorentz violation (LV), is an active research field. The effects of LV are expected to be very small and special systems are often used to search it. High-energy astrophysical neutrinos offer…

High Energy Physics - Phenomenology · Physics 2021-12-14 Carlos A. Argüelles , Teppei Katori

The assumption of Lorentz invariance is one of the founding principles of Modern Physics and violation of it would have profound implications to our understanding of the universe. For instance, certain theories attempting a unified theory…

High Energy Astrophysical Phenomena · Physics 2019-08-14 Michael Daniel

Due to quantum gravity fluctuations at the Planck scale, the space-time manifold is no longer continuous, but discretized. As a result the Lorentz symmetry is broken at very high energies. In this article, we study the neutrino oscillation…

High Energy Physics - Phenomenology · Physics 2012-08-01 Iman Motie , She-Sheng Xue

We show that coupling the Standard Model to a Lorentz symmetry violating sector may co-exist with viable phenomenology, provided that the interaction between the two is mediated by higher-dimensional operators. In particular, if the new…

High Energy Physics - Theory · Physics 2013-05-30 Maxim Pospelov , Yanwen Shang

Many quantum theories of gravity propose Lorentz violating dispersion relations of the form $\omega = |k|\, f(|k|/M)$, with recovery of approximate Lorentz invariance at energy scales much below $M$. We show that a quantum field with this…

General Relativity and Quantum Cosmology · Physics 2016-02-17 Viqar Husain , Jorma Louko

The recent reported Glashow resonance (GR) event shows a promising prospect in the test of the Lorentz violation (LV) by the high-energy astrophysical neutrinos (HANs) around the resonant energy. However, since the production source and the…

High Energy Physics - Phenomenology · Physics 2023-05-31 Ding-Hui Xu , Shu-Jun Rong

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
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