2005/07/31 by Gareth Dando, Aharon Davidson, Damien P. George +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Electrodynamics and Casimir Effect #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.72.045016
published as Phys.Rev. D72 (2005) 045016 · 15 pages, 5 figures; minor changes including added references and an updated figure; to appear in Phys Rev D
arxiv created 2005/08/12 · openalex publication_date 2005/08/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We present a toy model that exhibits clash-of-symmetries style Higgs field kink configurations in a Randall-Sundrum-like spacetime. The model has two complex scalar fields \ensuremathΦ1,2, with a sextic potential obeying global U(1)\ensuremath\bigotimesU(1) and discrete \ensuremathΦ1\ensuremath↔\ensuremathΦ2 interchange symmetries. The scalar fields are coupled to 4+1 dimensional gravity endowed with a bulk cosmological constant. We show that the coupled Einstein-Higgs field equations have an interesting analytic solution provided the sextic potential adopts a particular form. The 4+1 metric is shown to be that of a smoothed-out Randall-Sundrum type of spacetime. The thin-brane Randall-Sundrum limit, whereby the Higgs field kinks become step functions, is carefully defined in terms of the fundamental parameters in the action. The ``clash-of-symmetries'' feature, defined in previous papers, is manifested here through the fact that both of the U(1) symmetries are spontaneously broken at all nonasymptotic points in the extra dimension w. One of the U(1)'s is asymptotically restored as w\ensuremath→\ensuremath-\ensuremath∞, with the other U(1) restored as w\ensuremath→+\ensuremath∞. The spontaneously broken discrete symmetry ensures topological stability. In the gauged version of this model we find new flat-space solutions, but in the warped metric case we have been unable to find any solutions with nonzero gauge fields.