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

N. J. Nunes, Marco Peloso

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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.

Original languageEnglish (US)
Pages (from-to)147-154
Number of pages8
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Issue number1-2
StatePublished - Sep 8 2005

Bibliographical note

Funding Information:
We thank Nemanja Kaloper, Stefan Groot Nibbelink and Maxim Pospelov for very useful discussions. This work has been supported in part by the Department of Energy under contract DE-FG02-94ER40823 at the University of Minnesota.


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