Dynamical mass generation in Lorentz-violating QED

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, and it is found that the resulting mass is many orders of magnitude smaller than the (Plank-) mass scale introduced by the higher order derivative terms. This is due to a suppressing factor, non-analytic in the fine structure constant and exponentially small. This scenario is an alternative to the Higgs mechanism for the electron mass, which arises here from Lorentz violating effects at high energies.

7 pages, comments added

References in corpus (8)

• Quantum Gravity at a Lifshitz Point
• Lorentz symmetry breaking as a quantum field theory regulator
• Derivation of a Vacuum Refractive Index in a Stringy Space-Time Foam Model
• $C{P}^{N-1}$ Models at a Lifshitz Point
• Electrodynamics a la Horava
• Liouville-Lifshitz theory in 3+1 dimensions
• Non-Linear Sigma Model and asymptotic freedom at the Lifshitz point
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Cited by in corpus (11)

• On Lorentz violation in Horava-Lifshitz type theories
• Lifshitz-type Quantum Field Theories in Particle Physics
• On the Possibility of Superluminal Neutrino Propagation
• Quantum-Gravity Induced Lorentz Violation and Dynamical Mass Generation
• Properties of a consistent Lorentz-violating Abelian gauge theory
• Fermion effective dispersion relation for z=2 Lifshitz QED
• Gauge-Higgs Unification in Lifshitz Type Gauge Theory
• Lorentz-Violating Regulator Gauge Fields as the Origin of Dynamical Flavour Oscillations
• Quasi-relativistic fermions and dynamical flavour oscillations
• A Novel Foamy Origin for Singlet Fermion Masses
• Lorentz-symmetry violation and dynamical flavour oscillations