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2011•Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fieldsOpen access

Properties of a consistent Lorentz-violating Abelian gauge theory

Jean Alexandre, Ariadne Vergou

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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 effective light cone, with a maximum speed smaller than $c$.

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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 effective light cone, with a maximum speed smaller than $c$.

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Available 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 effective light cone, with a maximum speed smaller than $c$.

Key concepts: Massless particle, Physics, Lorentz transformation, Fermion, Gauge theory, Abelian group, Electroweak interaction, Mathematical physics

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