Electromagnetism with dimension-five operators

Abstract

We derive, in curved spacetime, the most general Lorentz-violating electromagnetic Lagrangian containing dimension-five operators with one more derivative than the Maxwell term in the hypothesis that Lorentz symmetry is broken by a background four-vector $n_{\mu }$. We then study, for the case of isotropic $n_{\mu }$, the generation of cosmic magnetic fields at inflation and cosmic birefringence. In the limiting case of Minkowski spacetime, we find that other than the CPT-odd Myers-Pospelov term, there exists another CPT-odd term that gives rise to nontrivial dispersion and constitutive relations.

7 pages, no figures, typos corrected, version matching the published one in Physical Review D

References in corpus (7)

• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• Lorentz-violating electrodynamics and the cosmic microwave background
• Evolution of Magnetic Fields in Freely Decaying Magnetohydrodynamic Turbulence
• A Model of Universe Anisotropization
• Causality and stability for Lorentz-CPT violating electrodynamics with dimension-5 operators
• A Constraint on Planck-scale Modifications to Electrodynamics with CMB polarization data
• Radiatively induced Lorentz-violating operator of mass dimension five in QED

Cited by in corpus (1)

• Generation of geometrical phases and persistent spin currents in 1-dimensional rings by Lorentz-violating terms