TY - JOUR
T1 - (De)stabilization of an extra dimension due to a Casimir force
AU - Hofmann, Ralf
AU - Kanti, Panagiota
AU - Pospelov, Maxim
PY - 2001
Y1 - 2001
N2 - We study the stabilization of one spatial dimension in (p+ 1 + l)-dimensional spacetime in the presence of p-dimensional brane(s), a bulk cosmological constant and the Casimir force generated by a conformally coupled scalar field. We find general static solutions to the metric which require the fine-tuning of the interbrane distance and the bulk cosmological constant (leaving the two brane tensions as free parameters) corresponding to a vanishing effective cosmological constant and a constant radion field. Taking these solutions as a background configuration, we perform a dimensional reduction and study the effective theory in the case of one- and two-brane configurations. We show that the radion field can have a positive mass squared, which corresponds to a stabilization of the extra dimension, only for a repulsive nature of the Casimir force. This type of solution requires the presence of a negative tension brane. The solutions with one or two positive tension branes arising in this theory turn out to have negative radion mass squared, and therefore are not stable.
AB - We study the stabilization of one spatial dimension in (p+ 1 + l)-dimensional spacetime in the presence of p-dimensional brane(s), a bulk cosmological constant and the Casimir force generated by a conformally coupled scalar field. We find general static solutions to the metric which require the fine-tuning of the interbrane distance and the bulk cosmological constant (leaving the two brane tensions as free parameters) corresponding to a vanishing effective cosmological constant and a constant radion field. Taking these solutions as a background configuration, we perform a dimensional reduction and study the effective theory in the case of one- and two-brane configurations. We show that the radion field can have a positive mass squared, which corresponds to a stabilization of the extra dimension, only for a repulsive nature of the Casimir force. This type of solution requires the presence of a negative tension brane. The solutions with one or two positive tension branes arising in this theory turn out to have negative radion mass squared, and therefore are not stable.
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U2 - 10.1103/PhysRevD.63.124020
DO - 10.1103/PhysRevD.63.124020
M3 - Article
AN - SCOPUS:0034883749
VL - 63
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 1550-7998
IS - 12
M1 - 124020
ER -