Gravity-induced instability and gauge field localization
arXiv:hep-th/0504014 · doi:10.1016/j.physletb.2005.06.058
Abstract
The spectrum of a massless bulk scalar field Φ, with a possible interaction term of the form -ξR Φ^{2}, is investigated in the case of RS-geometry [1]. We show that the zero mode for ξ=0, turns into a tachyon mode, in the case of a nonzero negative value of ξ(ξ<0). As we see, the existence of the tachyon mode destabilizes the Φ=0 vacuum, against a new stable vacuum with nonzero Φnear the brane, and zero in the bulk. By using this result, we can construct a simple model for the gauge field localization, according to the philosophy of Dvali and Shifman (Higgs phase on the brane, confinement in the bulk).
12 pages,4 figures, minor corrections, references added
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