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Lorentz invariance is a fundamental symmetry of both Einstein's theory of general relativity and quantum field theory. However, deviations from Lorentz invariance at energies approaching the Planck scale are predicted in many quantum…

High Energy Astrophysical Phenomena · Physics 2023-04-05 Jun-Jie Wei , Xue-Feng Wu

We investigate the relativistic dynamics of a spin half particle in the presence of a Lorentz-violating background within the framework of effective field theory. A modified Dirac Hamiltonian is considered, arising from a CPT odd coupling…

High Energy Physics - Phenomenology · Physics 2026-04-10 E. Maciel , M. A. Anacleto , K. E. L. Farias , E. Passos

Electromagnetic resonant cavities form the basis of many tests of Lorentz invariance involving photons. The effects of some forms of Lorentz violation scale with cavity size. We investigate possible signals of violations in the naturally…

High Energy Physics - Phenomenology · Physics 2010-04-21 Matthew Mewes

It is well known that a fundamental theorem of Quantum Field Theory (QFT) set in at spacetime ensures the CPT invariance of the theory. This symmetry is strictly connected to the Lorentz covariance, and consequently to the fundamental…

High Energy Physics - Phenomenology · Physics 2021-10-19 Vito Antonelli , Lino Miramonti , Marco Danilo Claudio Torri

Violations of Lorentz invariance can lead to an energy-dependent vacuum dispersion of light, which results in arrival-time differences of photons arising with different energies from a given transient source. In this work,…

High Energy Astrophysical Phenomena · Physics 2017-06-28 Jun-Jie Wei , Xue-Feng Wu , Bin-Bin Zhang , Lang Shao , Peter Mészáros , V. Alan Kostelecký

The Lorentz Transformation is derived from only three simple postulates: (i) a weak kinematical form of the Special Relativity Principle that requires the equivalence of reciprocal space-time measurements by two different inertial…

Classical Physics · Physics 2016-09-08 J. H. Field

Searches for Lorentz invariance violation (LIV) in the neutrino sector have traditionally focused on non-standard neutrino oscillations induced by LIV in vacuum. In this work, however, we study anisotropic LIV in matter. First, we review…

High Energy Physics - Phenomenology · Physics 2026-02-10 Simon Hilding-Nørkjær , Johann Ioannou-Nikolaides , D. Jason Koskinen , Thomas Stuttard

We examine the radiative corrections to an extension of the standard model containing a Lorentz-violating axial vector parameter. At second order in this parameter, the photon self-energy is known to contain terms that violate gauge…

High Energy Physics - Theory · Physics 2008-11-26 B. Altschul

The formulation and some experimental implications of a general Lorentz-violating extension of the standard model are reviewed. The theory incorporates both CPT-preserving and CPT-breaking terms. It is otherwise a conventional quantum field…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alan Kostelecky

In the past decade the phenomenology of quantum gravity has been dominated by the search of violations of Lorentz invariance. However, there are very serious arguments that led us to assume that this invariance is a symmetry in Nature. This…

General Relativity and Quantum Cosmology · Physics 2011-04-07 Yuri Bonder

Relating the effective Lorentz violation coefficients for composite particles to the coefficients for their constituent fields is a challenging problem. We calculate the Lorentz violation coefficients relevant to the dynamics of an…

High Energy Physics - Phenomenology · Physics 2010-01-08 Brett Altschul

An investigation is performed of the Lorentz-violating electrodynamics extracted from the renormalizable sector of the general Lorentz- and CPT-violating standard-model extension. Among the unconventional properties of radiation arising…

High Energy Physics - Phenomenology · Physics 2009-09-25 Alan Kostelecky , Matthew Mewes

A crucial step in the history of General Relativity was Einstein's adoption of the principle of general covariance which demands a coordinate independent formulation for our spacetime theories. General covariance helps us to disentangle a…

General Relativity and Quantum Cosmology · Physics 2022-05-19 Daniel Grimmer

We study cosmological implications of a Lorentz invariance violating DGP-inspired braneworld scenario. A minimally coupled scalar field and a single, fixed-norm, Lorentz-violating timelike vector field within an interactive picture provide…

General Relativity and Quantum Cosmology · Physics 2009-02-12 Kourosh Nozari , S. Davood Sadatian

Inspired by the extension of the Standard Model, we analyzed the effects of the spacetime anisotropies on a massive Dirac field through a non-minimal CPT-odd coupling in the Dirac equation, where we proposed a possible scenario that…

High Energy Physics - Theory · Physics 2019-11-04 R. L. L. Vitória , H Belich

We review the main theoretical motivations and observational constraints on Planck scale suppressed violations of Lorentz invariance. After introducing the problems related to the phenomenological study of quantum gravitational effects, we…

High Energy Astrophysical Phenomena · Physics 2009-12-15 Stefano Liberati , Luca Maccione

We discuss the consequences of Lorentz violation (as expressed within the Lorentz-violating extension of the standard model) for the hydrogen molecule, which represents a generic model of a molecular binding. Lorentz-violating shifts of…

High Energy Physics - Phenomenology · Physics 2009-11-10 Holger Mueller , Sven Herrmann , Alejandro Saenz , Achim Peters , Claus Laemmerzahl

Trying to combine standard quantum field theories with gravity leads to a breakdown of the usual structure of space-time at around the Planck length, 1.6*10^{-35} m, with possible violations of Lorentz invariance. Calculations of…

General Relativity and Quantum Cosmology · Physics 2010-04-06 John Collins , Alejandro Perez , Daniel Sudarsky , Luis Urrutia , Héctor Vucetich

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

Standard model with intrinsic Lorentz and CPT violations is proposed in a Finsler geometric framework. We present explicitly Lorentz and CPT--breaking Lagrangians of the matter fields and the gauge fields in locally Minkowski spacetime. The…

High Energy Physics - Phenomenology · Physics 2012-10-15 Zhe Chang , Sai Wang