On quantum aspects of the higher-derivative Lorentz-breaking extension of QED

Abstract

We consider the higher-derivative Lorentz-breaking extension of QED, where the new terms are the Myers-Pospelov-like ones in gauge and spinor sectors, and the higher--derivative CFJ term. For this theory, we study its tree-level dynamics, discuss the dispersion relation, and present one more scheme for its perturbative generation, including the finite temperature case. Also, we develop a method to study perturbative unitarity based on consistent rotation of the theory to Euclidean space. We use this method to verify explicitly that for special choices of the Lorentz-breaking vector, the unitarity is preserved at the one-loop level, even in the presence of higher time derivatives.

29 pages, matches published version

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• Electromagnetism with dimension-five operators
• Perturbative unitarity and higher-order Lorentz symmetry breaking

Cited by in corpus (10)

• Higher-derivative Lorentz-breaking dispersion relations: a thermal description
• Radiative corrections and Lorentz violation
• Hamiltonian formulation of an effective modified gravity with nondynamical background fields
• Effects of CPT-odd terms of dimensions three and five on electromagnetic propagation in continuous matter
• The Casimir effect for the scalar and Elko fields in a Lifshitz-like field theory
• Causality, unitarity, and indefinite metric in Maxwell-Chern-Simons extensions
• Mirrors and field sources in a Lorentz-violating scalar field theory
• Nonminimal planar electrodynamics modified by higher-derivative terms
• The Horava-Lifshitz Modifications of the Casimir effect at finite temperature revisted
• Perturbative S-matrix unitarity and higher-order Lorentz violation