Quantization and stability of bumblebee electrodynamics

Abstract

The quantization of a vector model presenting spontaneous breaking of Lorentz symmetry in flat Minkowski spacetime is discussed. The Stueckelberg trick of introducing an auxiliary field along with a local symmetry in the initial Lagrangian is used to convert the second-class constraints present in the initial Lagrangian to first-class ones. An additional deformation is employed in the resulting Lagrangian to handle properly the first-class constraints, and the equivalence with the initial model is demonstrated using the BRST invariance of the deformed Lagrangian. The framework for performing perturbation theory is constructed and the structure of the Fock space is discussed. Despite the presence of ghost and tachyon modes in the spectrum of the theory, it is shown that one can implement consistent conditions to define a unitary and stable reduced Fock space. Within the restricted Fock space, the free model turns out to be equivalent to the Maxwell electrodynamics in the temporal gauge.

Improved exposition; typos corrected; to be published in Phys. Rev. D; 34 pages

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Cited by in corpus (35)

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• Black holes with a cosmological constant in bumblebee gravity
• GUP Modified Hawking Radiation in Bumblebee Gravity
• Tests of Lorentz symmetry in the gravitational sector
• Classical-physics applications for Finsler $b$ space
• Classical Lagrangians and Finsler structures for the nonminimal fermion sector of the Standard-Model Extension
• Some Observable Physical Properties of the Higher Dimensional dS/AdS Black Holes in Einstein-Bumblebee Gravity Theory
• Dynamical Lorentz symmetry breaking in a tensor bumblebee model
• Radiative corrections in bumblebee electrodynamics
• Charged spherically symmetric and slowly rotating charged black hole solutions in bumblebee gravity
• On the equivalence between bumblebee models and electrodynamics in a non-linear gauge
• Topological self-dual configurations in a Lorentz-violating gauged O(3) sigma model
• 3+1 Formulation of the Standard-Model Extension Gravity Sector
• Eikonal approximation, Finsler structures, and implications for Lorentz-violating photons in weak gravitational fields
• Generation of geometrical phases and persistent spin currents in 1-dimensional rings by Lorentz-violating terms
• Hamiltonian formulation of an effective modified gravity with nondynamical background fields
• Gravitational waves effects in a Lorentz-violating scenario
• Gödel-type universes in bumblebee gravity
• Lorentz-violating modification of Dirac theory based on spin-nondegenerate operators
• Ricci dark energy in bumblebee gravity model
• Gravity Theories with Background Fields and Spacetime Symmetry Breaking
• Anisotropic cubic curvature couplings
• Spacetime Symmetry Breaking and Einstein-Maxwell Theory
• Gravity with Explicit Diffeomorphism Breaking
• Dynamical ambiguities in models with spontaneous Lorentz violation
• From classical Lagrangians to Hamilton operators in the Standard-Model Extension
• Dynamical Lorentz symmetry breaking in a 4D massless four-fermion model
• Testing CPT violation with correlated neutral mesons
• Einstein-Bumblebee-Dilaton black hole solution
• Spontaneous and Explicit Spacetime Symmetry Breaking in Einstein-Cartan Theory with Background Fields
• Bumblebee gravity: spherically-symmetric solutions away from the potential minimum
• One-loop radiative corrections in bumblebee-Stueckelberg model
• Extended Nambu Models: their relation to gauge theories
• Stable Magnetic Lorentz-Violating Vacua in Gauge-Invariant Nonlinear Electrodynamics
• Cosmology in the presence of diffeomorphism-violating, nondynamical background fields