The Photon Sector in the Quantum Myers-Pospelov Model: An improved description

Abstract

The quantization of the electromagnetic sector of the Myers-Pospelov model coupled to standard fermions is studied. Our main objective is to construct an effective quantum theory that results in a genuine perturbation of QED, such that setting zero the Lorentz invariance violation (LIV) parameters will reproduce it. This is achieved by introducing an additional low energy scale $M$, together with a physically motivated prescription to take the QED limit. The prescription is successfully tested in the calculation of the electron self-energy in the one loop approximation. The LIV radiative corrections turn out to be properly scaled by very small factors for any reasonable values of the parameters, no fine-tuning problems are found at this stage and the choice for $M$ to be of the order of the electroweak symmetry breaking scale is consistent with the stringent bounds for the LIV parameters, in particular with those arising from induced dimension three operators.

11 pages, no figures, shortened version, new interpretation of the scale M, additional references added, accepted for publication in Phys. Lett. B

References in corpus (48)

• Lorentz-Violating Extension of the Standard Model
• CPT Violation and the Standard Model
• Potential Sensitivity of Gamma-Ray Burster Observations to Wave Dispersion in Vacuo
• Data Tables for Lorentz and CPT Violation
• Modern tests of Lorentz invariance
• Nonstandard optics from quantum spacetime
• The Confrontation between General Relativity and Experiment
• CPT, Strings, and Meson Factories
• Ultraviolet modifications of dispersion relations in effective field theory
• Quantum gravity corrections to neutrino propagation
• Radiatively Induced Lorentz and CPT Violation in Electrodynamics
• Lorentz violation at high energy: concepts, phenomena and astrophysical constraints
• Loop quantum gravity and light propagation
• Lorentz invariance and quantum gravity: an additional fine-tuning problem?
• One-Loop Renormalization of Lorentz-Violating Electrodynamics
• The Lee-Wick Standard Model
• Probing quantum gravity using photons from a flare of the active galactic nucleus Markarian 501 observed by the MAGIC telescope
• Astrophysical Probes of the Constancy of the Velocity of Light
• Robust Limits on Lorentz Violation from Gamma-Ray Bursts
• Exact calculation of the radiatively-induced Lorentz and CPT violation in QED
• Quantum-Gravity Analysis of Gamma-Ray Bursts using Wavelets
• Derivation of a Vacuum Refractive Index in a Stringy Space-Time Foam Model
• Lorentz and CPT violations from Chern-Simons modifications of QED
• A Microscopic Recoil Model for Light-Cone Fluctuations in Quantum Gravity
• Causality as an emergent macroscopic phenomenon: The Lee-Wick O(N) model
• Quantum gravity and spin 1/2 particles effective dynamics
• Gauge Invariance and the Pauli-Villars Regulator in Lorentz- and CPT-Violating Electrodynamics
• Patterns of Lorentz symmetry breaking in QED by CPT-odd interaction
• Effective Lagrangians with Higher Order Derivatives
• Classification of Dimension 5 Lorentz Violating Interactions in the Standard Model
• Radiatively-Induced Lorentz and CPT Violating Chern-Simons Term in QED
• Quantization of the Myers-Pospelov model: the photon sector interacting with standard fermions as a perturbation of QED
• Quantum Gravity and Lorentz invariance violation in the Standard Model
• Dynamical Formation of Horizons in Recoiling D Branes
• Gravitational-Recoil Effects on Fermion Propagation in Space-Time Foam
• Perturbative Approach to Higher Derivative and Nonlocal Theories
• On the consistency of Lorentz invariance violation in QED induced by fermions in constant axial-vector background
• New constraints on Planck-scale Lorentz Violation in QED from the Crab Nebula
• Constraint from Lamb Shift and Anomalous Magnetic Moment on Radiatively Induced Lorentz and CPT Violation in Quantum Electrodynamics
• Synchrotron radiation in Myers-Pospelov effective electrodynamics
• Quantum Gravity induced Lorentz invariance violation in the Standard Model:hadrons
• Fundamental length scale of quantum spacetime foam
• Perturbative Approach to Higher Derivative Theories with Fermions
• Quantum Corrections to Lorentz Invariance Violating Theories: Fine-Tuning Problem
• Impact of Low-Energy Constraints on Lorentz Violation
• The scalar sector in the Myers-Pospelov model
• Quantization of the Myers-Pospelov model: a progress report
• Equivalence of Hamiltonian and Lagrangian Path Integral Quantization

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