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Astrophysical tests of Planck-suppressed Lorentz violations had been extensively studied in recent years and very stringent constraints have been obtained within the framework of effective field theory. There are however still some…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Silke Weinfurtner , Stefano Liberati , Matt Visser

In this work, we investigate a theory of linear Weyl gravity coupled to a scalar field and study the scenario in which Lorentz symmetry is broken by a non-vanishing vacuum expectation value of the Weyl field in the flat space limit after…

High Energy Physics - Theory · Physics 2022-10-11 Feng Wu

Recent observations of ultra high energy cosmic rays and gamma rays suggest that there are small violations of Lorentz symmetry. If there were no such violations, then the GZK cut off would hold and cosmic rays with energy $\sim 10^{20}eV$…

General Physics · Physics 2007-05-23 B. G. Sidharth

We set up a covariant renormalisation group equation on a foliated spacetime which preserves background diffeomorphism symmetry. As a first application of the new formalism, we study the effect of quantum fluctuations in Lorentz symmetry…

High Energy Physics - Theory · Physics 2019-03-27 Benjamin Knorr

Considering quantum gravity within the framework of effective field theory, we investigated the consequences of spontaneous Lorentz violation for the gravitational potential. In particular, we focus our attention on the bumblebee models, in…

High Energy Physics - Theory · Physics 2013-07-03 R. V. Maluf , Victor Santos , W. T. Cruz , C. A. S. Almeida

We consider a scenario where local Lorentz invariance is violated by the existence of a preferred time direction at every space-time point. This scenario can arise in the context of quantum gravity and its description at low energies…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-16 B. Audren , D. Blas , M. M. Ivanov , J. Lesgourgues , S. Sibiryakov

I review first some theoretical motivations for violation of Lorentz and/or CPT Invariance. Although the latter symmetries may be violated in a quantum gravity setting, nevertheless there are situations in which these violations are due to…

High Energy Physics - Phenomenology · Physics 2015-06-18 Nick E. Mavromatos

We investigate a class of theories involving a symmetric two-tensor field in Minkowski spacetime with a potential triggering spontaneous violation of Lorentz symmetry. The resulting massless Nambu-Goldstone modes are shown to obey the…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Alan Kostelecky , Robertus Potting

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

Fundamental quantum gravity theories are known to be notoriously difficult to extract viable testable predictions out of. In this paper, we aim to incorporate putative quantum corrections coming from loop quantum gravity in deriving…

General Relativity and Quantum Cosmology · Physics 2017-02-15 Suddhasattwa Brahma , Michele Ronco , Giovanni Amelino-Camelia , Antonino Marciano

One of the most difficult questions in present-day physics concerns a fundamental theory of space, time, and matter that incorporates a consistent quantum description of gravity. There are various theoretical approaches to such a…

General Relativity and Quantum Cosmology · Physics 2011-09-28 Ralf Lehnert

Special relativity asserts that physical phenomena appear the same for all inertially moving observers. This symmetry, called Lorentz symmetry, relates long wavelengths to short ones: if the symmetry is exact it implies that spacetime must…

Astrophysics · Physics 2011-07-19 T. Jacobson , S. Liberati , D. Mattingly

A search for sidereal variations in the non-Newtonian force between two tungsten plates separated at millimeter ranges sets experimental limits on Lorentz invariance violation involving quadratic couplings of Riemann curvature. We show that…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Cheng-Gang Shao , Yu-Jie Tan , Wen-Hai Tan , Shan-Qing Yang , Jun Luo , Michael Edmund Tobar

Lorentz symmetry is one of the pillars of both General Relativity and the Standard Model of particle physics. Motivated by ideas about quantum gravity, unification theories and violations of CPT symmetry, a significant effort has been put…

General Relativity and Quantum Cosmology · Physics 2016-12-02 Aurélien Hees , Quentin G. Bailey , Adrien Bourgoin , Hélène Pihan-Le Bars , Christine Guerlin , Christophe Le Poncin-Lafitte

Semiclassical gravity couples classical gravity to the quantized matter in meanfield approximation. The meanfield coupling is problematic for two reasons. First, it ignores the quantum fluctuation of matter distribution. Second, it violates…

General Relativity and Quantum Cosmology · Physics 2025-05-28 Lajos Diósi

We present heuristic arguments that hint to a possible connection of Lorentz violation with observed phenomenon in condensed matter physics. Various references from condensed matter literature are cited where operators in the Standard Model…

High Energy Physics - Theory · Physics 2017-06-21 Muhammad Adeel Ajaib

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

This paper reviews the histories approach to quantum mechanics. This discussion is then applied to theories of quantum gravity. It is argued that some of the quantum histories must approximate (in a suitable sense) to classical histories,…

General Relativity and Quantum Cosmology · Physics 2009-07-24 Joe Henson

Spontaneous Lorentz violation realized through a nonlinear vector field constraint of the type $A_{\mu}A^{\mu}=M^{2}$ ($M$ is the proposed scale for Lorentz violation) is shown to generate massless vector Goldstone bosons, gauging the…

High Energy Physics - Theory · Physics 2008-11-26 J. L. Chkareuli , C. D. Froggatt , J. G. Jejelava , H. B. Nielsen

In this Chapter we illustrate the close connection between the violation of the weak equivalence principle typical of gravitational interactions at finite temperature, and similar violations induced by a breaking of the local Lorentz…

General Relativity and Quantum Cosmology · Physics 2023-02-13 M. Gasperini
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