Properties of a consistent Lorentz-violating Abelian gauge theory

Abstract

A Lorentz violating modification of massless QED is proposed, with higher order space derivatives for the photon field. The fermion dynamical mass generation is studied with the Schwinger-Dyson approach. Perturbative properties of the model are calculated at one-loop and discussed at higher-order loops, showing the consistency of the model. We explain that there is no contradiction with the definition of the speed of light c, although fermions see an an effective light cone, with a maximum speed smaller than c.

16 pages, comments and references added

References in corpus (12)

• Quantum Gravity at a Lifshitz Point
• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• Lorentz symmetry breaking as a quantum field theory regulator
• Derivation of a Vacuum Refractive Index in a Stringy Space-Time Foam Model
• Renormalization group in Lifshitz-type theories
• Quantum-Gravity Induced Lorentz Violation and Dynamical Mass Generation
• $C{P}^{N-1}$ Models at a Lifshitz Point
• Electrodynamics a la Horava
• Non-Linear Sigma Model and asymptotic freedom at the Lifshitz point
• Renormalization Of High-Energy Lorentz Violating Four Fermion Models
• Dynamical mass generation in Lorentz-violating QED
• Emergent relativistic-like Kinematics and Dynamical Mass Generation for a Lifshitz-type Yukawa model

Cited by in corpus (20)

• Lifshitz-type Quantum Field Theories in Particle Physics
• On the Possibility of Superluminal Neutrino Propagation
• Inflation via Gravitino Condensation in Dynamically Broken Supergravity
• Light neutrino masses from a non-Hermitian Yukawa theory
• On higher-order corrections in a four-fermion Lifshitz model
• Symmetry breaking and restoration in Lifshitz type theories
• Symmetry breaking and restoration for interacting scalar and gauge fields in Lifshitz type theories
• Mass Hierarchies in Lorentz-Violation-induced Dynamical Mass Models
• Fermion effective dispersion relation for z=2 Lifshitz QED
• A Lorentz-Violating Alternative to Higgs Mechanism?
• Lorentz-Violating Regulator Gauge Fields as the Origin of Dynamical Flavour Oscillations
• Effective potential for Lifshitz type z=3 gauge theories
• Anisotropic Lifshitz holography in Einstein-Proca theory with stable negative mass spectrum
• Quasi-relativistic fermions and dynamical flavour oscillations
• Lifshitz field theories, Snyder noncomutative space-time and momentum dependent metric
• Effective matter dispersion relation in quantum covariant Horava-Lifshitz gravity
• A Novel Foamy Origin for Singlet Fermion Masses
• Hamiltonian analysis for Lifshitz type Fields
• Non-Hermitian Lagrangian for quasi-relativistic fermions
• Lorentz-symmetry violation and dynamical flavour oscillations