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While Lorentz invariance, the fundamental symmetry of Einstein's theory of General Relativity, has been tested to a great level of detail, Grand Unified Theories that combine gravity with the other three fundamental forces may result in a…

High Energy Astrophysical Phenomena · Physics 2015-08-19 Fabian Kislat , Henric Krawczynski

A new presentation of the Borchers-Buchholz result of the Lorentz-invariance of the energy-momentum spectrum in theories with broken Lorentz symmetry is given in terms of properties of the Green's functions of microcausal Bose and…

High Energy Physics - Theory · Physics 2007-05-23 J. Bros , H. Epstein

Quantitative bounds on Lorentz symmetry violation in the neutrino sector have been obtained by analyzing existing laboratory data on neutron $\beta$ decay and pion leptonic decays. In particular some parameters appearing in the…

High Energy Physics - Phenomenology · Physics 2009-11-11 E. Di Grezia , S. Esposito , G. Salesi

A new presentation of the Borchers-Buchholz result of the Lorentz-invariance of the energy-momentum spectrum in theories with broken Lorentz symmetry is given in terms of properties of the Green's functions of microcausal Bose and…

High Energy Physics - Theory · Physics 2009-11-07 Jacques Bros , Henri Epstein

Geometric phases can manifest when a relativistic quantum particle moves cyclically along a loop in parameter space. The phase can be affected by the presence of a background field and can be accompanied by nontrivial topological features.…

High Energy Physics - Phenomenology · Physics 2025-12-02 Alan Kostelecky , Ralf Lehnert , Marco Schreck , Babak Seradjeh

We study a theory where the presence of an extra spin-two field coupled to gravity gives rise to a phase with spontaneously broken Lorentz symmetry. In this phase gravity is massive, and the Weak Equivalence Principle is respected. The…

High Energy Physics - Theory · Physics 2008-11-26 Z. Berezhiani , D. Comelli , F. Nesti , L. Pilo

The physical intepretation of effective field theories of fundamental interactions incorporating large Lorentz violation is a long-standing challenge, known as the concordance problem. In condensed-matter physics, certain Weyl semimetals…

High Energy Physics - Phenomenology · Physics 2025-12-03 Alan Kostelecky , Ralf Lehnert , Marco Schreck , Babak Seradjeh

In this work, we analyze a gravity model with higher derivatives including a CPT-even Lorentz-violating term. In principle, the model could be a low-energy limit of a Lorentz-invariant theory presenting the violation of Lorentz symmetry as…

High Energy Physics - Theory · Physics 2014-09-22 C. Hernaski , H. Belich

The accelerating expansion of universe can be described by the non-zero cosmological constant or the dark energy. However, the origin of the dark energy remains a mystery of modern physics. The local Lorentz invariance is the most exact…

General Relativity and Quantum Cosmology · Physics 2018-10-16 Jiayin Shen , Xun Xue

We investigate the nucleosynthesis constraint on Lorentz invariance violation in the neutrino sector which influences the formation of light elements by altering the energy density of the Universe and weak reaction rates prior to and during…

Cosmology and Nongalactic Astrophysics · Physics 2013-06-24 Zong-Kuan Guo , Jian-Wei Hu

Several approaches to quantum gravity suggest that Lorentz invariance will be broken at high energy. This can lead to modified dispersion relations for wave propagation, which can be concretely realized in effective field theories where the…

General Relativity and Quantum Cosmology · Physics 2019-10-15 Jarod George Kelly , Sanjeev S. Seahra

We consider a class of field theories with a four-vector field $A_{\mu}(x)$ in addition to other fields supplied with a global charge symmetry - theories which have partial gauge symmetry in the sense of only imposing it on those terms in…

High Energy Physics - Theory · Physics 2009-08-11 J. L. Chkareuli , C. D. Froggatt , H. B. Nielsen

High energy cosmic neutrino observations provide a sensitive test of Lorentz invariance violation, which may be a consequence of quantum gravity theories. We consider a class of non-renormalizable, Lorentz invariance violating operators…

High Energy Physics - Phenomenology · Physics 2015-03-05 Floyd W. Stecker , Sean T. Scully , Stefano Liberati , David Mattingly

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

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

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

Several approaches to quantum gravity suggest violations of Lorentz symmetry as low-energy signatures. This article uses a concrete Lorentz-violating quantum field theory to study different inertial vacua. We show that they are unitarily…

High Energy Physics - Theory · Physics 2023-05-05 Bruno Arderucio Costa , Yuri Bonder , Benito A. Juárez-Aubry

The framework of relativistic quantum-field theories requires Lorentz Invariance. Many theories of quantum gravity, on the other hand, include violations of Lorentz Invariance at small scales and high energies. This generates a lot of…

High Energy Astrophysical Phenomena · Physics 2019-08-13 Lukas Nellen

We discuss the possibility of explaining the observation of ultra-high-energy cosmic rays with energy above the GZK cutoff, saving the relativity principle and the (possibly deformed) Lorentz symmetry, as proposed recently by several…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Toller

Although Lorentz symmetry has been tested at low energy with extremely good accuracy, its validity at very high energy is much less well established. If Lorentz symmetry violation (LSV) is energy-dependent (e.g. $\propto E^2$), it can be of…

General Physics · Physics 2016-10-26 Luis Gonzalez-Mestres
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