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Inspired by quantum gravity frameworks predicting Planck-scale deviations from Lorentz invariance, we probe Lorentz symmetry violation via modified dispersion relations $\omega_{|\textbf{k}|}$. Departing from conventional approaches, we…

General Relativity and Quantum Cosmology · Physics 2025-07-24 Hao Xu

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

Evidence on the violation of Lorentz symmetry arises from the observation of cosmic rays with energies beyond the GZK cutoff, $E_{GZK} \simeq 4 \times 10^{19} eV$, from the apparent transparency of the Universe to the propagation of high…

High Energy Physics - Phenomenology · Physics 2015-06-25 Orfeu Bertolami

Stringent limits on the Myers-Pospelov timelike parameter for photons $\xi<10^{-15}$ coming from astrophysical tests suggest exploring more general preferred backgrounds, such as spacelike and lightlike. We take some steps in this…

High Energy Physics - Phenomenology · Physics 2011-01-20 C. Marat Reyes

This paper is dedicated to the study of interactions between external sources for the electromagnetic field in a Lorentz symmetry breaking scenario. We focus on a particular higher derivative, Lorentz violating interaction that arises from…

High Energy Physics - Theory · Physics 2016-11-17 L. H. C. Borges , A. F. Ferrari , F. A. Barone

We extend a recent approach to Deformed Special Relativity based on deformed dispersion laws, entailing modified Lorentz transformations and, at the same time, noncommutative geometry and intrinsically discrete spacetime. In so doing we…

High Energy Physics - Theory · Physics 2017-06-20 G. Salesi , M. Greselin , L. Deleidi , R. A. Peruzza

Spontaneous Lorentz violation is a viable mechanism to look for Planck scale physics. In this work, we study spontaneous Lorentz violation models, in flat spacetime, where a vector field produces such a violation and matter is modeled by a…

High Energy Physics - Theory · Physics 2016-01-26 Yuri Bonder , Carlos A. Escobar

In the context of conventional quantum field theory, we present a general Lorentz-violating extension of the minimal SU(3) x SU(2) x U(1) standard model including CPT-even and CPT-odd terms. It can be viewed as the low-energy limit of a…

High Energy Physics - Phenomenology · Physics 2008-11-26 Don Colladay , Alan Kostelecky

Lorentz-violating neutrino parameters have been severely constrained on the basis of astrophysical considerations. In the high-energy limit, one generally assumes a superluminal dispersion relation of an incoming neutrino of the form E ~…

High Energy Physics - Phenomenology · Physics 2020-01-13 G. Somogyi , I. Nandori , U. D. Jentschura

A method is presented for deducing classical point-particle Lagrange functions corresponding to a class of quartic dispersion relations. Applying this to particles violating Lorentz symmetry in the minimal Standard-Model Extension leads to…

High Energy Physics - Theory · Physics 2015-09-25 Neil Russell

We propose a modification of standard linear electrodynamics in four dimensions, where effective non-trivial interactions of the electromagnetic field with itself and with matter fields induce Lorentz violating Chern-Simons terms. This…

High Energy Physics - Theory · Physics 2009-01-07 Marcelo Botta Cantcheff

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

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

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

The behavior of photons in the presence of Lorentz and CPT violation is studied. Allowing for operators of arbitrary mass dimension, we classify all gauge-invariant Lorentz- and CPT-violating terms in the quadratic Lagrange density…

High Energy Physics - Phenomenology · Physics 2009-09-02 Alan Kostelecky , Matthew Mewes

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

In this work, we discuss the relativistic Landau-He-McKellar-Wilkens quantization and relativistic bound states solutions for a Dirac neutral particle under the influence of a Coulomb-like potential induced by the Lorentz symmetry breaking…

High Energy Physics - Theory · Physics 2013-04-18 K. Bakke , H. Belich

In the recent quantum-gravity literature there has been strong interest in the possibility of Planck-scale departures from Lorentz symmetry, including possible modifications of the energy/momentum dispersion relation. I stress that a…

Astrophysics · Physics 2007-05-23 Giovanni Amelino-Camelia

If any violation of Lorentz symmetry exists in the hadron sector, its ultimate origins must lie at the quark level. We continue the analysis of how the theories at these two levels are connected, using chiral perturbation theory.…

High Energy Physics - Phenomenology · Physics 2018-05-22 Rasha Kamand , Brett Altschul , Matthias R. Schindler

Propagation of a particle accelerated by an external field through a scattering medium is studied within the generalized Lorentz model allowing inelastic collisions. Energy losses at collisions are proportional to $(1-\alpha^{2})$, where…

Statistical Mechanics · Physics 2015-06-25 Ph. A. Martin , J. Piasecki