On the stability of field-theoretical regularizations of negative tension branes

Details On the stability of field-theoretical regularizations of negative tension branes On the stability of field-theoretical regularizations of negative tension branes

2005-06-06

arxiv.org/abs/hep-th/0506039v1

Phys.Lett. B623 (2005) 147-154

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, 3 figures

Scientific paper

10.1016/j.physletb.2005.07.047

Any attempt to regularize a negative tension brane through a bulk scalar requires that this field is a ghost. One can try to improve in this aspect in a number of ways. For instance, it has been suggested to employ a field whose kinetic term is not sign definite, in the hope that the background may be overall stable. We show that this is not the case; the physical perturbations (gravity included) of the system do not extend across the zeros of the kinetic term; hence, all the modes are entirely localized either where the kinetic term is positive, or where it is negative; this second type of modes are ghosts. We show that this conclusion does not depend on the specific choice for the kinetic and potential functions for the bulk scalar.

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