Scalar Kinks in Warped Extra Dimensions

We study the existence and stability of static kinklike configurations of a five-dimensional scalar field, with Dirichlet boundary conditions, along the extra dimension of a warped braneworld. In the presence of gravity such configurations fail to stabilize the size of the extra dimension, leading us to consider additional scalar fields with the role of stabilization. We numerically identify multiple nontrivial solutions for a given fivedimensional action, made possible by the nonlinear nature of the background equations, which we find is enhanced in the presence of gravity. Finally, we take a first step toward addressing the question of the stability of such configurations by deriving the full perturbative equations for the gravitationally coupled multifield system. Disciplines Physical Sciences and Mathematics | Physics Comments Suggested Citation: Toharia, M., M. Trodden and E.J. West. (2010). "Scalar kinks in warped extra dimensions." Physical Review D 82, 025009. © The American Physical Society http://dx.doi.org/10.1003/PhysRevD.82.025009 This journal article is available at ScholarlyCommons: http://repository.upenn.edu/physics_papers/28 Scalar kinks in warped extra dimensions Manuel Toharia,* Mark Trodden, and Eric J. West Maryland Center for Fundamental Physics, Department of Physics, University of Maryland, College Park, Maryland 20742, USA Center for Particle Cosmology, Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA Department of Physics, Syracuse University, Syracuse, New York 13244, USA (Received 22 February 2010; published 15 July 2010) We study the existence and stability of static kinklike configurations of a five-dimensional scalar field, with Dirichlet boundary conditions, along the extra dimension of a warped braneworld. In the presence of gravity such configurations fail to stabilize the size of the extra dimension, leading us to consider additional scalar fields with the role of stabilization. We numerically identify multiple nontrivial solutions for a given five-dimensional action, made possible by the nonlinear nature of the background equations, which we find is enhanced in the presence of gravity. Finally, we take a first step toward addressing the question of the stability of such configurations by deriving the full perturbative equations for the gravitationally coupled multifield system. DOI: 10.1103/PhysRevD.82.025009 PACS numbers: 11.10.Kk, 11.15.Tk, 11.27.+d, 11.10.Lm