Article,

Radiative corrections in bumblebee electrodynamics

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PHYSICS LETTERS B, (2015)
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 cannotbe excluded from the effective theory. (C) 2015 The Authors. Published by Elsevier B.V.

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