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Motivated by experimental indications of a significant presence of heavy nuclei in the cosmic ray flux at ultra high energies ($\gtrsim 10^{19} \eV$), we consider the effects of Planck scale suppressed Lorentz Invariance Violation (LIV) on…

High Energy Astrophysical Phenomena · Physics 2011-04-04 Andrey Saveliev , Luca Maccione , Guenter Sigl

Lorentz and CPT symmetries may be violated in new physics that emerges at very high energy scale, i.e., at the Planck scale. The differential cross section of the M\"oller scattering, due to Lorentz violation at finite temperature is…

High Energy Physics - Theory · Physics 2018-04-24 A. F. Santos , Faqir C. Khanna

If Lorentz invariance is broken at an energy scale Eq, as has recently been suggested in the context of attempts to quantize gravity, the kinematics of photon-photon collisions would be profoundly affected at lower energies. Specifically,…

Astrophysics · Physics 2007-05-23 W. Kluzniak

If there is Lorentz symmetry violation in the $t$ quark sector of the standard model, changes to particles' dispersion relations might allow for the existence of stable top-flavored hadrons. Observations of the survival of high-energy…

High Energy Physics - Phenomenology · Physics 2020-10-14 Brett Altschul

We study the recently proposed Lorentz-violating dispersion relation for fermions and show that it leads to two distinct cubic operators in the momentum. We compute the leading order terms that modify the non-relativistic equations of…

High Energy Physics - Phenomenology · Physics 2009-11-10 O. Bertolami , J. G. Rosa

We look for modifications that can be derived from the Maxwell sector of the SME for the interaction between electrical charges and the electromagnetic field. The kind of problem that we are looking into is the one that might be found in a…

High Energy Physics - Theory · Physics 2023-03-13 A. F. Ferrari

Lorentz invariance, the fundamental symmetry of Einstein's theory of Special Relativity, has been established and tested by many classical and modern experiments. However, many theories that unify the Standard Model of particle physics and…

High Energy Astrophysical Phenomena · Physics 2016-08-15 Fabian Kislat , Henric Krawczynski

Optical resonators provide a powerful tool for testing aspects of Lorentz invariance. Here, we present a reanalysis of an experiment where a path asymmetry was created in an optical ring resonator by introducing a dielectric prism in one…

High Energy Physics - Phenomenology · Physics 2015-08-12 Stephen R. Parker , Matthew Mewes , Fred N. Baynes , Michael E. Tobar

Due to the high energies and long distances involved, astrophysical observations provide a unique opportunity to test possible signatures of Lorentz Invariance Violation (LIV). Superluminal LIV enables the decay of photons at high energy…

High Energy Astrophysical Phenomena · Physics 2019-08-27 H. Martínez-Huerta , S. Marinelli , J. T. Linnemann , J. Lundeen

We construct the general renormalizable actions for the scalar field and the gauge field at a Lifshitz point characterized by the dynamical critical exponent $z$. The Lorentz invariance is broken down in the UV region, but is recovered in…

High Energy Physics - Theory · Physics 2010-01-15 Bin Chen , Qing-Guo Huang

Momentum dependence of quantum corrections with higher-dimensional Lorentz violation is examined in electrodynamics on orbifolds. It is shown that effects of the Lorentz violation are not decoupled at high energy scales. Despite the loss of…

High Energy Physics - Phenomenology · Physics 2010-04-27 Nobuhiro Uekusa

There is growing interest in quantum-spacetime models in which small departures from Lorentz symmetry are governed by the Planck scale. In particular, several studies have considered the possibility that these small violations of Lorentz…

High Energy Physics - Phenomenology · Physics 2009-11-10 Giovanni Amelino-Camelia , Michele Arzano , Y. Jack NG , Tsvi Piran , Hendrik Van Dam

The superluminal neutrinos detected by OPERA indicates Lorentz invariance violation (LIV) of the neutrino sector at the order of $10^{-5}$. We study the implications of the result in this work. We find that such a large LIV implied by OPERA…

High Energy Physics - Phenomenology · Physics 2015-03-19 Xiao-Jun Bi , Peng-Fei Yin , Zhao-Huan Yu , Qiang Yuan

A general discussion is given of signals for broken Lorentz symmetry in short-baseline neutrino experiments. Among the effects that Lorentz violation can introduce are a dependence on energy differing from that of the usual massive-neutrino…

High Energy Physics - Phenomenology · Physics 2008-11-26 Alan Kostelecky , Matthew Mewes

A general framework for tests of Lorentz invariance with electromagnetic waves is presented, allowing for operators of arbitrary mass dimension. Signatures of Lorentz violations include vacuum birefringence, vacuum dispersion, and…

Astrophysics · Physics 2010-11-11 Alan Kostelecky , Matthew Mewes

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

Lorentz violation has been a popular field in recent years in the search for new physics beyond the Standard Model. We present a general method to build all Lorentz-violating terms in gauge field theories, including ones involving operators…

High Energy Physics - Phenomenology · Physics 2019-10-01 Zonghao Li

We correct the fitting formula used in refs. [1,2] to obtain a robust limit on a violation of Lorentz invariance that depends linearly on the photon energy. The correction leads to a slight increase of the limit on the scale of the…

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

In a previous article [arXiv:1011.4258], we established the consistency of isotropic modified Maxwell theory for a finite range of the Lorentz-violating parameter \tilde{kappa}_{tr}, which includes both positive and negative values of…

High Energy Physics - Theory · Physics 2015-05-30 F. R. Klinkhamer , M. Schreck