Quantum-Gravity Induced Lorentz Violation and Dynamical Mass Generation

Abstract

In Ref. [1] (by J. Alexandre) a minimal extension of (3+1)-dimensional Quantum Electrodynamics has been proposed, which includes Lorentz-Violation (LV) in the form of higher-(spatial)-derivative isotropic terms in the gauge sector, suppressed by a mass scale $M$. The model can lead to dynamical mass generation for charged fermions. In this article I elaborate further on this idea and I attempt to connect it to specific quantum-gravity models, inspired from string/brane theory. Specifically, in the first part of the article, I comment briefly on the gauge dependence of the dynamical mass generation in the approximations of [1], and I propose a possible avenue for obtaining the true gauge-parameter-independent value of the mass by means of Pinch Technique argumentations. In the second part of the work I embed the LV QED model into multibrane world scenarios with a view to provide a geometrical way of enhancing the dynamical mass to phenomenologically realistic values by means of bulk warp metric factors, in an (inverse) Randall-Sundrum hierarchy. Finally in the third part of this note, I demonstrate that such Lorentz Violating QED models may represent parts of a low-energy effective action (of Finsler-Born-Infeld type) of open strings propagating in quantum D0-particle stochastic space-time foam backgrounds, which are viewed as consistent quantum gravity configurations.

34 pages latex, uses special macros (axodraw), three eps figures incorporated

References in corpus (67)

• A Large Mass Hierarchy from a Small Extra Dimension
• String Theory and Noncommutative Geometry
• Quantum Gravity at a Lifshitz Point
• CPT Violation and the Standard Model
• Gravity's Rainbow
• Logarithmic Operators in Conformal Field Theory
• Pinch Technique: Theory and Applications
• Space/Time Non-Commutativity and Causality
• Phenomenologically viable Lorentz-violating quantum gravity
• Lorentz symmetry breaking as a quantum field theory regulator
• General Very Special Relativity is Finsler Geometry
• Planck-scale modified dispersion relations and Finsler geometry
• Derivation of a Vacuum Refractive Index in a Stringy Space-Time Foam Model
• Quantum-Gravitational Diffusion and Stochastic Fluctuations in the Velocity of Light
• Dynamical Chiral Symmetry Breaking by a Magnetic Field in QED
• The General Very Special Relativity in Finsler Cosmology
• String-Inspired Higher-Curvature Terms and the Randall-Sundrum Scenario
• On Lorentz violation in Horava-Lifshitz type theories
• Logarithmic Operators and Hidden Continuous Symmetry in Critical Disordered Models
• D-Brane Recoil and Logarithmic Operators
• Neutrino electromagnetic properties
• A Microscopic Recoil Model for Light-Cone Fluctuations in Quantum Gravity
• The Pinch Technique to All Orders
• Nonsemisimple Fusion Algebras and the Verlinde Formula
• Is there a Landau Pole Problem in QED?
• World-Sheet Logarithmic Operators and Target Space Symmetries in String Theory
• A supersymmetric D-brane Model of Space-Time Foam
• Novel type of CPT violation for correlated EPR states
• Matrix D-brane Dynamics, Logarithmic Operators and Quantization of Noncommutative Spacetime
• Dynamical Formation of Horizons in Recoiling D Branes
• Pinch technique self-energies and vertices to all orders in perturbation theory
• Time Delays of Strings in D-particle Backgrounds and Vacuum Refractive Indices
• CPT Violating Decoherence and LSND: a possible window to Planck scale Physics
• Potentials between D-Branes in a Supersymmetric Model of Space-Time Foam
• On the Space-Time Uncertainty Relations of Liouville Strings and D Branes
• Quantum decoherence and neutrino data
• D-Brane Recoil Mislays Information
• Decoherence induced CPT violation and entangled neutral mesons
• Stringy Space-Time Foam, Finsler-like Metrics and Dark Matter Relics
• Exact Solutions and the Cosmological Constant Problem in Dilatonic-Domain-Wall Higher-Curvature String Gravity
• Decoherent Neutrino Mixing, Dark Energy and Matter-Antimatter Asymmetry
• A string scenario for inflationary cosmology
• String Quantum Gravity, Lorentz-Invariance Violation and Gamma-Ray Astronomy
• Fedosov Quantization of Lagrange-Finsler and Hamilton-Cartan Spaces and Einstein Gravity Lifts on (Co) Tangent Bundles
• Liouville Decoherence in a Model of Flavour Oscillations in the presence of Dark Energy
• Schwinger-Dyson approach for a Lifshitz-type Yukawa model
• Standard Model Without Elementary Scalars And High Energy Lorentz Violation
• The Higgs mechanism in Finsler spacetimes
• Birefringence in pseudo-Finsler spacetimes
• D-Foam Phenomenology: Dark Energy, the Velocity of Light and a Possible D-Void
• Lorentz Invariance Violation from String Theory
• Minkowski solution of Dyson-Schwinger equations in momentum subtraction scheme
• Decoherence and CPT Violation in a Stringy Model of Space-Time Foam
• The Neveu-Schwarz and Ramond Algebras of Logarithmic Superconformal Field Theory
• D-Brane Dynamics and Logarithmic Superconformal Algebras
• Generalized Finsler Geometry in Einstein, String and Metric--Affine Gravity
• Comments on Ultra-High-Energy Photons and D-Foam models
• (Non)Commutative Finsler Geometry from String/M--theory
• Renormalization Of High-Energy Lorentz Violating Four Fermion Models
• Non-linear Dynamics in QED_3 and Non-trivial Infrared Structure
• Rapidities and Observable 3-Velocities in the Flat Finslerian Event Space with Entirely Broken 3D Isotropy
• Logarithmic Conformal Field Theory - or - How to Compute a Torus Amplitude on the Sphere
• Dynamical mass generation in Lorentz-violating QED
• Emergent relativistic-like Kinematics and Dynamical Mass Generation for a Lifshitz-type Yukawa model
• Perspectives on Lorentz and CPT Violation
• The O(n) Model in the $n\to 0$ Limit (self-avoiding-walks) and Logarithmic Conformal Field Theory
• Novel Phases and Old Puzzles in QED3 and related models

Cited by in corpus (30)

• Riemann-Finsler geometry and Lorentz-violating kinematics
• Bipartite Riemann-Finsler geometry and Lorentz violation
• Resembling dark energy and modified gravity with Finsler-Randers cosmology
• Principles of Einstein-Finsler Gravity and Perspectives in Modern Cosmology
• Classical-physics applications for Finsler $b$ space
• On the Possibility of Superluminal Neutrino Propagation
• Covariant kinematics and gravitational bounce in Finsler space-times
• Finsler Branes and Quantum Gravity Phenomenology with Lorentz Symmetry Violations
• Black Holes with MDRs and Bekenstein-Hawking and Perelman Entropies for Finsler-Lagrange-Hamilton Spaces
• Weak-U(1) x Strong-U(1) Effective Gauge Field Theories and electron-monopole scattering
• Properties of a consistent Lorentz-violating Abelian gauge theory
• Light neutrino masses from a non-Hermitian Yukawa theory
• Cosmic magnetization in curved and Lorentz violating space-times
• Stringy Models of Modified Gravity: Space-time defects and Structure Formation
• Quasi-Stationary Solutions in Gravity Theories with Modified Dispersion Relations and Finsler-Lagrange-Hamilton Geometry
• Mass Hierarchies in Lorentz-Violation-induced Dynamical Mass Models
• Lorentz and CPT breaking in gamma-ray burst neutrinos from string theory
• Lorentz-Violating Regulator Gauge Fields as the Origin of Dynamical Flavour Oscillations
• A Lorentz-Violating Alternative to Higgs Mechanism?
• Quasi-relativistic fermions and dynamical flavour oscillations
• Probing Lorentz violation effects via a laser beam interacting with a high-energy charged lepton beam
• Graviton propagation within the context of the D-material universe
• On axiomatic formulation of gravity and matter field theories with MDRs and Finsler-Lagrange-Hamilton geometry on (co)tangent Lorentz bundles
• Comments on Anomaly Cancellations by Pole Subtractions and Ghost Instabilities with Gravity
• A Novel Foamy Origin for Singlet Fermion Masses
• General off-diagonal integrability of metric and nonmetric geometric flow and Finsler-Lagrange-Hamilton modified Einstein equations
• Constraints to Lorentz violation and ultrahigh-energy electrons in D-foamy space-times
• Non-Hermitian Lagrangian for quasi-relativistic fermions
• Constraining D-foam via the 21-cm Line
• Finslerian geometrodynamics