Alexander A. Andrianov, Vladimir A. Andrianov, Oleg O. Novikov
The formation of a thick brane in five-dimensional space-time is investigated when warp geometries of $AdS_5$ type are induced by scalar matter dynamics. The scalar matter is taken to consist of two fields with O(2) symmetric self interaction and with manifest O(2) symmetry breaking by mass-like terms quadratic in fields. One of them serves as a brane-formation mode around a kink background and another one is of a Higgs-field type which may develop a classical background as well. Scalar matter interacts with gravity in the minimal form and the scalar field kinks generate a gravity background of $AdS_5$ type. Gravity effects on spectral characteristics of (quasi)localized scalar fluctuations are calculated in a frame of gaussian normal coordinates suitable for perturbation expansion, with usage of gauge invariant variables. The calculations are performed in the vicinity of the critical point of spontaneous $\tau$ symmetry breaking where a non-trivial v.e.v. of the Higgs-type scalar field arises. Both scalar modes happen to mix with gravity and the latter distort drastically their fluctuation spectrum so that in the limit of vanishing gravity the scalar mode spectrum is discontinuous.
View original:
http://arxiv.org/abs/1306.0723
No comments:
Post a Comment