Zusammenfassung
In this work, we study the spontaneous Lorentz symmetry breaking due to
an antisymmetric 2-tensor field in Minkowski spacetirne. For a smooth
quadratic potential, the spectrum of the theory exhibits massless and
massive excitations. We show that the equations of motion for the free
field obey some constraints which lead to the massive mode being
nonpropagating at leading order. Besides, there exists a massless mode
in the theory which can be identified with the usual Kalb-Ramond field,
carrying only one on-shell degree of freedom. The same conclusion holds
when one analyses the pole structure of its Feynman propagator. A new
complete set of spin-type operators is found, which was the requirement
to evaluate the propagator of the Kalb-Ramond field modified by the
presence of a nonzero vacuum expectation value responsible for the
Lorentz violation. Copyright (C) EPLA, 2019
Nutzer