New effects in the interaction between electromagnetic sources mediated by nonminimal Lorentz violating interactions

Abstract

This paper is dedicated to the study of interactions between external sources for the electromagnetic field in a Lorentz symmetry breaking scenario. We focus on a particular higher derivative, Lorentz violating interaction that arises from a specific model that was argued to lead to interesting effects in the low energy phenomenology of light pseudoscalars interacting with photons. The kind of higher derivative Lorentz violating interaction we discuss do not appear in the well known Standard Model Extension, therefore they are called nonminimal. They are usually expected to be relevant only at very high energies, but we argue they might also induce relevant effects in low energy phenomena. Special attention is given for phenomena that have no counterpart in Maxwell theory.

17 Latex pages

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• Higher order derivative operators as quantum corrections
• Constraining CPT-odd nonminimal interactions in the Electroweak sector
• Unitarity and Lee-Wick prescription at one loop level in the effective Myers-Pospelov electrodynamics: the $e^{+}+e^{-}$ annihilation
• New point-like sources and a conducting surface in Maxwell-Chern-Simons electrodynamics
• External sources in a minimal and nonminimal CPT-odd Lorentz violating Maxwell electrodynamics
• Mirrors and field sources in a Lorentz-violating scalar field theory
• Magnetoelectric boundary simulated by a Chern-Simons-like model
• Dimensional reduction of the electromagnetic sector of the nonminimal Standard-Model-Extension
• Nonminimal planar electrodynamics modified by higher-derivative terms
• Testing Lorentz-symmetry violation via electroweak decays
• Field sources in a CPT-even Lorentz-violation Maxwell electrodynamics
• Perturbative unitarity and higher-order Lorentz symmetry breaking
• The point-charge self-energy in a nonminimal Lorentz violating Maxwell Electrodynamics
• Lorentz violation parameters and noncommutative scale
• Semi-transparent boundaries in CPT-even Lorentz violating electrodynamics
• A Two-Gauge Field Model for Magnetoelectric Boundaries