Radiative corrections in bumblebee electrodynamics
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.
Cite
@article{arxiv.1506.07232,
title = {Radiative corrections in bumblebee electrodynamics},
author = {R. V. Maluf and J. E. G. Silva and C. A. S. Almeida},
journal= {arXiv preprint arXiv:1506.07232},
year = {2015}
}
Comments
Revised version: contains some more elaborated interpretation of the results. Conclusions improved