Quantum Gravity and Lorentz invariance violation in the Standard Model

Abstract

The most important problem of fundamental Physics is the quantization of the gravitational field. A main difficulty is the lack of available experimental tests that discriminate among the theories proposed to quantize gravity. Recently, Lorentz invariance violation by Quantum Gravity(QG) have been the source of a growing interest. However, the predictions depend on ad-hoc hypothesis and too many arbitrary parameters. Here we show that the Standard Model(SM) itself contains tiny Lorentz invariance violation(LIV) terms coming from QG. All terms depend on one arbitrary parameter $\alpha$ that set the scale of QG effects. This parameter can be estimated using data from the Ultra High Energy Cosmic Rays spectrum to be $|\alpha |<\sim 10^{-22}-10^{-23}$.

latex 4 pages

Cited by in corpus (59)

• Modern tests of Lorentz invariance
• Bare and Induced Lorentz and CPT Invariance Violations in QED
• Constraints and tests of the OPERA superluminal neutrinos
• Quantization of the Myers-Pospelov model: the photon sector interacting with standard fermions as a perturbation of QED
• Sensitivity of the Cherenkov Telescope Array for probing cosmology and fundamental physics with gamma-ray propagation
• Lifshitz-type Quantum Field Theories in Particle Physics
• Constraints on Lorentz invariance violation from HAWC observations of gamma rays above 100 TeV
• Lorentz violation in the gravity sector: The t puzzle
• Synchrotron Radiation in Lorentz-violating Electrodynamics: the Myers-Pospelov model
• Towards a formal description of the collapse approach to the inflationary origin of the seeds of cosmic structure
• Improved limits on Lorentz invariance violation from astrophysical gamma-ray sources
• The Photon Sector in the Quantum Myers-Pospelov Model: An improved description
• Restrictions from Lorentz invariance violation on cosmic ray propagation
• Superluminal Neutrinos at OPERA Confront Pion Decay Kinematics
• Cosmic Rays and the Search for a Lorentz Invariance Violation
• Supersonic Velocities in Noncommutative Acoustic Black Holes
• Lorentz violation effects on astrophysical propagation of very high energy photons
• Radiative corrections in metric-affine bumblebee model
• Superluminal neutrinos and the tachyon's stability in the rotating Universe
• Ultraviolet modified photons and anisotropies in the cosmic microwave background radiation
• Quantum Gravity induced Lorentz invariance violation in the Standard Model:hadrons
• Lorentz violation in a uniform newtonian gravitational field
• Constraints from orbital motions around the Earth of the environmental fifth-force hypothesis for the OPERA superluminal neutrino phenomenology
• Gauge Field Theory in the Infrared Regime
• Quantum-corrected rotating acoustic black holes in Lorentz-violating background
• Testing Violations of Lorentz Invariance with Cosmic Rays
• Mass-dependent Lorentz Violation and Neutrino Velocity
• Unambiguous Quantum Gravity Phenomenology Respecting Lorentz Symmetry
• Quantum Gravity Phenomenology without Lorentz Invariance Violation: a detailed proposal
• Experimental search for a Lorentz invariant spacetime granularity: Possibilities and bounds
• Time delay of light signals in an energy-dependent spacetime metric
• Superluminal Dark Neutrinos
• Lorentz violation naturalness revisited
• Bounds on Relativistic Deformed Kinematics from the Physics of the Universe Transparency
• Corrections to flat-space particle dynamics arising from space granularity
• Complementarity-Entanglement Tradeoff in Quantum Gravity
• Bibliography of Publications related to Classical Self-dual variables and Loop Quantum Gravity
• On metric-affine bumblebee model coupled to scalar matter
• Polymer-Fourier quantization of the scalar field revisited
• Non-universal relativistic kinematics
• Astrophysics in 2005
• Particle-antiparticle asymmetry in a relativistic deformed kinematics
• A Field Theory Model With a New Lorentz-Invariant Energy Scale
• The scalar sector in the Myers-Pospelov model
• Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect
• Simulating Electromagnetic Cascades with Lorentz Invariance Violation
• Quantization of the Myers-Pospelov model: a progress report
• Velocity and Distribution of Primordial Neutrinos
• An OPERA inspired classical model reproducing superluminal velocities
• Test of some Fundamental Principles in Physics via Quantum Interference with Neutrons and Photons
• Extending the Euler-Heisenberg action to include effects of local Lorentz-symmetry violating backgrounds
• Testing Lorentz Violation Using Propagating UHECRs
• Superluminal neutrinos and the Standard Model
• Gravitational waves in metric-affine bumblebee gravity
• Investigation of Zero-Modes for a Dynamical D$p$-Brane
• Lorentz Violation on The Primordial Baryogenesis
• Non-metricity effects on electron scattering in bumblebee gravity
• Einstein-Yang-Mills Regular Black Holes in Rainbow Gravity
• Phenomenological description of quantum gravity inspired modified classical electrodynamics