Planck-scale modifications to Electrodynamics characterized by a space-like symmetry-breaking vector

Abstract

In the study of Planck-scale ("quantum-gravity induced") violations of Lorentz symmetry, an important role was played by the deformed-electrodynamics model introduced by Myers and Pospelov. Its reliance on conventional effective quantum field theory, and its description of symmetry-violation effects simply in terms of a four-vector with nonzero component only in the time-direction, rendered it an ideal target for experimentalists and a natural concept-testing ground for many theorists. At this point however the experimental limits on the single Myers-Pospelov parameter, after improving steadily over these past few years, are "super-Planckian", {\it i.e.} they take the model out of actual interest from a conventional quantum-gravity perspective. In light of this we here argue that it may be appropriate to move on to the next level of complexity, still with vectorial symmetry violation but adopting a generic four-vector. We also offer a preliminary characterization of the phenomenology of this more general framework, sufficient to expose a rather significant increase in complexity with respect to the original Myers-Pospelov setup. Most of these novel features are linked to the presence of spatial anisotropy, which is particularly pronounced when the symmetry-breaking vector is space-like, and they are such that they reduce the bound-setting power of certain types of observations in astrophysics.

References in corpus (8)

• Testing Einstein's special relativity with Fermi's short hard gamma-ray burst GRB090510
• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• Prospects for constraining quantum gravity dispersion with near term observations
• GRBs Neutrinos as a Tool to Explore Quantum Gravity induced Lorentz Violation
• Lorentz Violation for Photons and Ultra-High Energy Cosmic Rays
• Constraining the energy-momentum dispersion relation with Planck-scale sensitivity using cold atoms
• A Constraint on Planck-scale Modifications to Electrodynamics with CMB polarization data
• Probing a Possible Vacuum Refractive Index with Gamma-Ray Telescopes

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• Cosmological birefringence constraints from CMB and astrophysical polarization data
• Probing Lorentz-violating electrodynamics with CMB polarization
• Microcausality and quantization of the fermionic Myers-Pospelov model
• Cosmological birefringent constraints on light
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• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
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• Conversations in the dark: cross-correlating birefringence and LSS to constrain axions
• Derivation of the deformed Heisenberg algebra from discrete spacetime
• Planck-scale gravity test at PETRA -- Letter of Intent