Radiative corrections in bumblebee electrodynamics
arXiv:1506.07232 · doi:10.1016/j.physletb.2015.08.004
Abstract
We investigate some quantum features of the bumblebee electrodynamics in flat spacetimes. The bumblebee field is a vector field that leads to a spontaneous Lorentz symmetry breaking. For a smooth quadratic potential, the massless excitation (Nambu-Goldstone boson) can be identified as the photon, transversal to the vacuum expectation value of the bumblebee field. Besides, there is a massive excitation associated with the longitudinal mode and whose presence leads to instability in the spectrum of the theory. By using the principal-value prescription, we show that no one-loop radiative corrections to the mass term is generated. Moreover, the bumblebee self-energy is not transverse, showing that the propagation of the longitudinal mode can not be excluded from the effective theory.
Revised version: contains some more elaborated interpretation of the results. Conclusions improved
References in corpus (15)
- Quantum Gravity at a Lifshitz Point
- Lorentz symmetry breaking as a quantum field theory regulator
- Spontaneous Lorentz and Diffeomorphism Violation, Massive Modes, and Gravity
- Sensitive polarimetric search for relativity violations in gamma-ray bursts
- Vacuum Cerenkov Radiation in Lorentz-Violating Theories Without CPT Violation
- Failure of Gauge Invariance in the Nonperturbative Formulation of Massless Lorentz-Violating QED
- New Bounds on Isotropic Lorentz Violation
- Instabilities in the Aether
- Lorentz violation in the linearized gravity
- Synchrotron and Inverse Compton Constraints on Lorentz Violations for Electrons
- Feynman propagator for the nonbirefringent CPT-even electrodynamics of the Standard Model Extension
- Lorentz violation bounds on Bhabha scattering
- Quantization and stability of bumblebee electrodynamics
- Classical solutions for the Lorentz-violating and CPT-even term of the Standard Model Extension
- Stationary solutions for the parity-even sector of the CPT-even and Lorentz-covariance-violating term of the standard model extension
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