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Lorentz violation is motivated by quantum gravity and it is generically described by nondynamical tensors. In this work a Lorentz violating extension of general relativity is studied where a nondynamical tensor couples to the Weyl tensor. A…

General Relativity and Quantum Cosmology · Physics 2020-03-30 Yuri Bonder , Christian Peterson

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

The relativistic quantum motion of scalar bosons under the influence of a full vector (minimal $A^{\mu}$ and nonminimal $X^{\mu}$) and scalar ($V_{s}$) interactions embedded in the background of a cosmic string is explored in the context of…

High Energy Physics - Theory · Physics 2020-01-10 Francisco A. Cruz Neto , Franciele M. da Silva , Luis C. N. Santos , Luis B. Castro

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

Recent claims point out that possible violations of Lorentz symmetry appearing in some semiclassical models of extended matter dynamics motivated by loop quantum gravity can be removed by a different choice of canonically conjugated…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Jorge Alfaro , Marat Reyes , Hugo A. Morales-Tecotl , L. F. Urrutia

In the present study we analyse, within the scalar sector of the Standard-Model Extension (SME) framework, the influence of a spontaneous Lorentz symmetry breaking on gravitational quantum states of ultracold neutrons. The model is framed…

High Energy Physics - Phenomenology · Physics 2022-07-15 C. A. Escobar , A. Martín-Ruiz , A. M. Escobar-Ruiz , Román Linares

Lorentz symmetry is one of the cornerstone of both general relativity and the standard model of particle physics. We study the violation of Lorentz symmetry in some basic phenomena in atomic physics. Using the Green's function, and the…

Quantum Physics · Physics 2022-02-28 Z. Shafeei , S. A. Alavi

A status report is given of some recent theoretical and experimental investigations looking for signals of Lorentz violation in QED. Experiments with light, charged particles, and atoms have exceptional sensitivity to small shifts in energy…

High Energy Physics - Phenomenology · Physics 2016-11-03 Robert Bluhm

We discuss the implications of a recently proposed pattern of Lorentz symmetry violation on very high-energy cross sections. As a consequence of the breaking of local Lorentz invariance by the introduction of a fundamental length, $a$ , the…

General Physics · Physics 2008-02-03 Luis Gonzalez-Mestres

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 general charge-conserving effective scalar field theory incorporating violations of Lorentz symmetry is presented. The dispersion relation is used to infer the effects of spin-independent Lorentz violation on point-particle motion. A…

High Energy Physics - Phenomenology · Physics 2019-05-29 Benjamin R. Edwards

We introduce a new Lorentz-violating modification to a scalar quantum field theory. This interaction, while super-renormalizable by power counting, is fundamentally different from the interactions previously considered within the…

High Energy Physics - Theory · Physics 2009-11-10 B. Altschul

We show in this paper that the dynamics of a non-relativistic particle with spin, coupled to an external electromagnetic field and to a background that breaks Lorentz symmetry, is naturally endowed with an N=1-supersymmetry. This result is…

High Energy Physics - Theory · Physics 2008-11-26 H. Belich , T. Costa-Soares , J. A. Helayel-Neto , M. T. D. Orlando , R. C. Paschoal

Remnant low-energy effects of Planck-scale Lorentz breaking in candidate fundamental theories typically include modified one-particle dispersion relations. Theoretical constraints on such modifications are discussed leading to the exclusion…

High Energy Physics - Phenomenology · Physics 2017-08-23 Ralf Lehnert

We study some physical consequences of the introduction of a Lorentz-violating modification term in the linearized gravity, which leads to modified dispersion relations for gravitational waves in the vacuum. We discuss two possible…

High Energy Physics - Theory · Physics 2008-11-26 A. F. Ferrari , M. Gomes , J. R. Nascimento , E. Passos , A. Yu. Petrov , A. J. da Silva

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 analyze the behavior of the energy spectrum of the Klein-Gordon equation in the presence of a truncated hyperbolic tangent potential. From our analysis we obtain that, for some values of the potential there is embedding of the bound…

Mathematical Physics · Physics 2009-11-11 Luis A. Gonzalez-Diaz , Victor M. Villalba

Lorentz invariance is one of the fundamental principles of physics, and, as such, it must be experimentally tested. The purpose of this work is to obtain, within the Standard-Model Extension, the dynamics of a Lorentz-violating spinor in a…

High Energy Physics - Phenomenology · Physics 2013-11-12 Yuri Bonder

In this paper we deal with the issue of Lorentz symmetry breaking in quantum field theories formulated in a non-commutative space-time. We show that, unlike in some recente analysis of quantum gravity effects, supersymmetry does not protect…

High Energy Physics - Theory · Physics 2009-11-11 A. F. Ferrari , H. O. Girotti , M. Gomes

We analyze the calculation of bound states for a nonrelativistic spin-half neutral particle under the influence of a Coulomb-like potential induced by Lorentz symmetry breaking effects. We show that the truncation condition proposed by the…

Quantum Physics · Physics 2020-09-29 Francisco M. Fernández