Quantum gravity and spin 1/2 particles effective dynamics

Abstract

Quantum gravity phenomenology opens up the possibility of probing Planck scale physics. Thus, by exploiting the generic properties that a semiclassical state of the compound system fermions plus gravity should have, an effective dynamics of spin-1/2 particles is obtained within the framework of loop quantum gravity. Namely, at length scales much larger than Planck length and below the wave length of the fermion, the spin-1/2 dynamics in flat spacetime includes Planck scale corrections. In particular we obtain modified dispersion relations in vacuo for fermions. These corrections yield a time of arrival delay of the spin 1/2 particles with respect to a light signal and, in the case of neutrinos, a novel flavor oscillation. To detect these effects the corresponding particles must be highly energetic and should travel long distances. Hence Neutrino Bursts accompanying Gamma Ray Bursts or ultra high energy cosmic rays could be considered. Remarkably, future neutrino telescopes may be capable to test such effects. This paper provides a detailed account of the calculations and elaborates on results previously reported in a Letter. These are further amended by introducing a real parameter Upsilon aimed at encoding our lack of knowledge of scaling properties of the gravitational degrees of freedom.

48 pages, latex

References in corpus (87)

• Lorentz-Violating Extension of the Standard Model
• Measurement of the rate of nu_e + d --> p + p + e^- interactions produced by 8B solar neutrinos at the Sudbury Neutrino Observatory
• CPT Violation and the Standard Model
• Potential Sensitivity of Gamma-Ray Burster Observations to Wave Dispersion in Vacuo
• Discreteness of area and volume in quantum gravity
• Lorentz invariance with an invariant energy scale
• Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
• High-Energy Tests of Lorentz Invariance
• Quantum Geometry and Black Hole Entropy
• High Energy Neutrinos from Cosmological Gamma-Ray Burst Fireballs
• Nonstandard optics from quantum spacetime
• Quantum Theory of Gravity I: Area Operators
• Absence of Singularity in Loop Quantum Cosmology
• Real Ashtekar Variables for Lorentzian Signature Space-times
• Quantum Spin Dynamics (QSD)
• Loop Quantum Gravity
• Black Hole Entropy from Loop Quantum Gravity
• Stability, Causality, and Lorentz and CPT Violation
• Quantization of diffeomorphism invariant theories of connections with local degrees of freedom
• Quantum gravity corrections to neutrino propagation
• QSD V : Quantum Gravity as the Natural Regulator of Matter Quantum Field Theories
• Weaving a classical geometry with quantum threads
• Planck-scale deformation of Lorentz symmetry as a solution to the UHECR and the TeV-$\gamma$ paradoxes
• Loop quantum gravity and light propagation
• Limits to Quantum Gravity Effects from Observations of TeV Flares in Active Galaxies
• An interferometric gravitational wave detector as a quantum-gravity apparatus
• Invariance Violation Extends the Cosmic Ray Horizon ?
• Nonrelativistic Quantum Hamiltonian for Lorentz Violation
• Astrophysical Probes of the Constancy of the Velocity of Light
• Gauge Field Theory Coherent States (GCS) : I. General Properties
• Gauge Field Theory Coherent States (GCS) : II. Peakedness Properties
• TeV Astrophysics Constraints on Planck Scale Lorentz Violation
• Quantum-Gravitational Diffusion and Stochastic Fluctuations in the Velocity of Light
• Astrophysical limits on quantum gravity motivated birefringence
• Precision Tests of CPT Symmetry and Quantum Mechanics in the Neutral Kaon System
• Coherent States for Canonical Quantum General Relativity and the Infinite Tensor Product Extension
• Gauge Field Theory Coherent States (GCS) : IV. Infinite Tensor Product and Thermodynamical Limit
• Quantum Theory of Geometry III: Non-commutativity of Riemannian Structures
• Violation of CPT and Quantum Mechanics in the K0--K0bar System
• New Observational Bounds to Quantum Gravity Signals
• Ultra high energy neutrinos from gamma ray bursts
• Observational Limits on Quantum Geometry Effects
• Conservation Laws in Doubly Special Relativity
• Testing violations of special and general relativity through the energy dependence of nu_mu<--->nu_tau oscillations in the Super-Kamiokande atmospheric neutrino experiment
• Reality conditions inducing transforms for quantum gauge field theory and quantum gravity
• Massless neutrino oscillations
• Quantum-Gravity Phenomenology: Status and Prospects
• Relation between polymer and Fock excitations
• Redefining Spinors in Lorentz-Violating QED
• Reality Conditions and Ashtekar Variables: a Different Perspective
• Measuring the foaminess of space-time with gravity-wave interferometers
• Generally covariant model of a scalar field with high frequency dispersion and the cosmological horizon problem
• A phenomenological description of quantum-gravity-induced space-time noise
• Fock representations from U(1) holonomy algebras
• Gravitational-Recoil Effects on Fermion Propagation in Space-Time Foam
• Probing Quantum Aspects of Gravity
• Photons from quantized electric flux representations
• Space-time quantum solves three experimental paradoxes
• Quantum Gravity - Testing Time for Theories
• Search for Quantum Gravity
• Probing Quantum Violations of the Equivalence Principle
• Probing the Planck Scale with Neutrino Oscillations
• The hypothesis of path integral duality II: corrections to quantum field theoretic results
• Loop Quantum Gravity Corrections and Cosmic Ray Decays
• Infrared and ultraviolet cutoffs of quantum field theory
• High Energy Neutrino Astronomy: WIN 99
• One-loop graviton corrections to Maxwell's equations
• Gamma ray bursts as probes of neutrino mass, quantum gravity and dark energy
• Testing Lorentz invariance violations in the tritium beta-decay anomaly
• Hypothesis of path integral duality: Applications to QED
• Gamma Ray Bursts and Bursters
• Reality conditions for Ashtekar variables as Dirac constraints
• Gamma-Ray Bursts, Cosmic-Rays and Neutrinos
• The weaving of curved geometries
• A proposal for analyzing the classical limit of kinematic loop gravity
• Neutrino Oscillations Induced by Gravitational Recoil Effects
• Effective dissipative dynamics for polarized photons
• A Gaussian Weave for Kinematical Loop Quantum Gravity
• Topics in Lorentz and CPT Violation
• High Energy Neutrinos from Gamma-Ray Bursts
• Exploring the Ultrahigh Energy Neutrino Universe
• Real sector of the nonminimally coupled scalar field to self-dual gravity
• Planck-Length Phenomenology
• Bibliography of publications related to Classical and Quantum Gravity in terms of Connection and Loop Variables
• The Prediction and Detection of UHE Neutrino Bursts
• Basis states for gravitons in non-perturbative loop representation space
• Robust flavor equalization of cosmic neutrino flux by quasi bi-maximal mixing

Cited by in corpus (90)

• Gravity, Lorentz Violation, and the Standard Model
• Quantum Spacetime Phenomenology
• Ultraviolet modifications of dispersion relations in effective field theory
• Signals for Lorentz Violation in Post-Newtonian Gravity
• Spontaneous Lorentz Violation, Nambu-Goldstone Modes, and Gravity
• Lorentz and CPT Violation in Neutrinos
• Lorentz invariance and quantum gravity: an additional fine-tuning problem?
• New varying speed of light theories
• Vacuum Cherenkov radiation
• Probing Lorentz and CPT violation with space-based experiments
• The Cherenkov effect in Lorentz-violating vacua
• Dirac theory within the Standard-Model Extension
• Synchrotron Radiation from the Crab Nebula Discriminates between Models of Space-Time Foam
• The Search for Quantum Gravity Signals
• Optical cavity tests of Lorentz invariance for the electron
• Lorentz violation and generalized uncertainty principle
• Constraining the energy-momentum dispersion relation with Planck-scale sensitivity using cold atoms
• Loop Quantum Gravity and Ultra High Energy Cosmic Rays
• Quantization of the Myers-Pospelov model: the photon sector interacting with standard fermions as a perturbation of QED
• Time-delay and Doppler tests of the Lorentz symmetry of gravity
• Lorentz violation in the gravity sector: The t puzzle
• Synchrotron Radiation and Quantum Gravity
• Synchrotron Radiation in Lorentz-violating Electrodynamics: the Myers-Pospelov model
• The Photon Sector in the Quantum Myers-Pospelov Model: An improved description
• Bounds on Stringy Quantum Gravity from Low Energy Existing Data
• Non-local on-shell field redefinition for the SME
• The Higgs mechanism in Finsler spacetimes
• Standard Model Extension with Gravity and Gravitational Baryogenesis
• Probing the quantum-gravity realm with slow atoms
• Synchrotron radiation in Myers-Pospelov effective electrodynamics
• Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics
• Polymer Bose--Einstein Condensates
• Testing Quantum Gravity via Cosmogenic Neutrino Oscillations
• Lorentz and CPT Tests in Matter and Antimatter
• Lorentz violation in a uniform newtonian gravitational field
• Quantum aspects of antisymmetric tensor field with spontaneous Lorentz violation
• Supersymmetry and the Lorentz Fine Tuning Problem
• Speed Variations of Cosmic Photons and Neutrinos from Loop Quantum Gravity
• Matter-Antimatter Asymmetry Generated by Loop Quantum Gravity
• UV and IR quantum-spacetime effects for the Chandrasekhar model
• On alternative approaches to Lorentz violation in loop quantum gravity inspired models
• Modified Bosonic Gas Trapped in a Generic 3-dim Power Law Potential
• Gravity in quantum spacetime
• Laboratory bounds on Lorentz symmetry violation in low energy neutrino physics
• Effects of Lorentz violation through the $\gamma e\to W{\nu }_e$ process in the Standard Model Extension
• Ideal-Modified Bosonic Gas Trapped in an Arbitrary Three Dimensional Power-Law Potential
• Planck Scale Physics and Bogoliubov Spaces in a Bose-Einstein Condensate
• Effects of CPT and Lorentz Invariance Violation on Pulsar Kicks
• Cavity tests of parity-odd Lorentz violations in electrodynamics
• Neutrino flavor oscillations in a rotating spacetime
• Detecting a logarithmic nonlinearity in the Schrödinger equation using Bose-Einstein condensates
• Lorentz-violating effects on pair production of W bosons in photon collisions
• Probing Lorentz Invariance Violation with Atmospheric Neutrinos at INO-ICAL
• Cerenkov's Effect and Neutrino Oscillations in Loop Quantum Gravity
• Semiclassical Self Consistent Treatment of the Emergence of Seeds of Cosmic Structure. The second order construction
• Planck-Scale Traces from the Interference Pattern of two Bose-Einstein Condensates
• Testing Lorentz Invariance Using an Odd-Parity Asymmetric Optical Resonator
• The decay $b\to s\gamma$ in the presence of a constant antisymmetric tensor field
• Implications of Lorentz violation on Higgs-mediated lepton flavor violation
• Spin Flavor Conversion of Neutrinos in Loop Quantum Gravity
• Perspectives on Quantum Gravity Phenomenology
• Decays $Z\to \gamma \gamma$ and $Z\to gg$ in the Standard Model Extension
• Quantum spacetime fluctuations: Lamb Shift and hyperfine structure of the hydrogen atom
• Bibliography of Publications related to Classical Self-dual variables and Loop Quantum Gravity
• Constraining Lorentz Invariance Violation with Next-Generation Long-Baseline Experiments
• Noncommutative field with constant background fields and neutral fermion
• Black hole evaporation within a momentum-dependent metric
• Discriminating between Lorentz violation and non-standard interactions using core-passing atmospheric neutrinos at INO-ICAL
• On Non-Abelian Holonomies
• Unspeakables and the Epistemological path towards Quantum Gravity
• Loop Quantum Gravity effects on electromagnetic properties of charged leptons
• Planck Scale Induced Speed of Sound in a Trapped Bose-Einstein Condensate
• Lorentz-preserving fields in Lorentz-violating theories
• Polymer quantization, stability and higher-order time derivative terms
• CPT-violating neutrino oscillations
• Fundamental times, lengths and physical constants: some unknown contributions by Ettore Majorana
• Observational Constraints on Local Lorentz Invariance
• Matter in Loop Quantum Gravity
• Lorentz violating electrodynamics
• Probes for String-Inspired Foam, Lorentz, and CPT Violations in Astrophysics
• D-particles and the localization limit in quantum gravity
• Remarks on experimental bounds on quantum gravity effects on fermions
• Testing Lorentz Violation Using Propagating UHECRs
• Velocity-dependent deformations of the energy spectrum of a quantum cavity from Lorentz symmetry violations
• Discussion on Lorentz Invariance Violation of Non-commutative Field Theory and Neutrino Oscillation
• Quantum speed limit as a sensitive probe of Planck-scale effects
• Deriving Spin within a discrete-time theory
• Phenomenological description of quantum gravity inspired modified classical electrodynamics
• Constraining the deformed dispersion relation with the hydrogen atom 1S-2S transition
• Covariant Quantum Gravitational Corrections to Scalar and Tensor Field Models