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Lorentz violation at high energies might lead to non linear dispersion relations for the fundamental particles. We analyze observational constraints on these without assuming any a priori equality between the coefficients determining the…

High Energy Physics - Phenomenology · Physics 2017-08-23 S. Liberati , T. A. Jacobson , D. Mattingly

In previous papers (e.g. physics/0003080 and references therein), it was pointed out that Lorentz symmetry violation (LSV) at Planck scale can play a crucial role in astrophysical processes at very high energy. It can potentially inhibit…

Astrophysics · Physics 2009-10-31 Luis Gonzalez-Mestres

We discuss relations between several relativistic spin observables and derive a Lorentz-invariant characteristic of a reduced spin density matrix.A relativistic position operator that satisfies all the properties of its nonrelativistic…

High Energy Physics - Theory · Physics 2016-12-28 Lucas C. Céleri , Vasilis Kiosses , Daniel R. Terno

Recent tentative experimental indications, and the subsequent theoretical speculations, regarding possible violations of Lorentz invariance have attracted a vast amount of attention. An important technical issue that considerably…

High Energy Physics - Phenomenology · Physics 2017-11-29 Valentina Baccetti , Kyle Tate , Matt Visser

We analyze the role of Lorentz symmetry in the perturbative non-gravitational anomalies for a single family of fermions. The theory is assumed to be translational invariant, power-counting renormalizable and based on a local action, but is…

High Energy Physics - Theory · Physics 2008-11-26 A. Salvio

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

We analytically obtain a new charged Lifshtitz solution by adding a non-relativistic Maxwell field in Horava-Lifshitz gravity. The black hole exhibits an anisotropic scaling between space and time (Lifshitz scaling) in the UV limit, while…

High Energy Physics - Theory · Physics 2017-03-24 Cheng-Jian Luo , Xiao-Mei Kuang , Fu-Wen Shu

We present an updated review of Lorentz invariance tests in Effective field theories (EFT) in the matter as well as in the gravity sector. After a general discussion of the role of Lorentz invariance and a derivation of its transformations…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Stefano Liberati

We discuss some of the tests of Lorentz symmetry made possible by astrophysical observations of ultrahigh energy cosmic rays, gamma-rays, and neutrinos. These are among the most sensitive tests of Lorentz symmetry violation because they are…

High Energy Astrophysical Phenomena · Physics 2017-09-29 Floyd W. Stecker

One possible feature of quantum gravity may be the violation of Lorentz invariance. In this paper we consider one particular manifestation of the violation of Lorentz invariance, namely modified dispersion relations for massive neutrinos.…

Astrophysics · Physics 2009-11-13 Dean Morgan , Elizabeth Winstanley , Jurgen Brunner , Lee F. Thompson

Spacetime nonmetricity can be studied experimentally through its couplings to fermions and photons. We use recent high-precision searches for Lorentz violation to deduce first constraints involving the 40 independent nonmetricity components…

General Relativity and Quantum Cosmology · Physics 2017-04-24 Joshua Foster , Alan Kostelecky , Rui Xu

If Lorentz and CPT violation exist, they could affect the decays of scalar and pseudoscalar particles. For a decay into a fermion and an antifermion (not necessarily of the same mass), both the total decay rate and the outgoing particle…

High Energy Physics - Phenomenology · Physics 2014-06-11 Brett Altschul

An action with unconventional supersymmetry was introduced in an earlier paper. Here it is shown that this action leads to standard physics for fermions and gauge bosons at low energy, but to testable extensions of standard physics for…

High Energy Physics - Theory · Physics 2007-05-23 Roland E. Allen

We investigate the impact of Lorentz invariance violation (LIV) on radiation processes in astrophysical sources, focusing on synchrotron and inverse Compton interactions. We derive modified expressions for radiated power and photon energy…

High Energy Astrophysical Phenomena · Physics 2025-12-23 Matheus Duarte , Vitor de Souza

The recently discovered Higgs particle with a mass near $126$ GeV presents new opportunities to explore Lorentz violation. Ultra-high-energy cosmic rays are one of the most sensitive testing grounds for Lorentz symmetry, and can be used to…

High Energy Physics - Phenomenology · Physics 2014-04-14 Andrew Cohen , Gustavo Marques Tavares , Yiming Xu

To produce a fermionic model exhibiting an entanglement entropy volume law, we propose a particular version of nonlocality in which the energy-momentum dispersion relation is effectively randomized at the shortest length scales while…

Quantum Physics · Physics 2019-07-31 G. C. Levine

Local Lorentz invariance violation can be realized by introducing extra tensor fields in the action that couple to matter. If the Lorentz violation is rotationally invariant in some frame, then it is characterized by an ``aether'', i.e. a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 T. Jacobson , D. Mattingly

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

Neutrinos allow for a test of the hypothesis that the fermions of the Standard Model have Fermi-point splitting, analogous to the fermionic quasi-particles of certain condensed-matter systems. If present, the corresponding Lorentz-violating…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. R. Klinkhamer

These are intended to be review notes on emergent symmetries, i.e., symmetries which manifest themselves in specific sectors of energy in many systems. The emphasis is on the physical aspects rather than computation methods. We include some…

High Energy Physics - Theory · Physics 2016-03-17 Pedro R. S. Gomes
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