Particle transfer in braneworld collisions

Abstract

We study the behaviour of fermions localized on moving kinks as these collide with either antikinks or spacetime boundaries. We numerically solve for the evolution of the scalar kinks and the bound (i.e. localized) fermion modes, and calculate the number of fermions transfered to the antikink and boundary in terms of Bogoliubov coefficients. Interpreting the boundary as the brane on which we live, this models the ability of fermions on branes incoming from the bulk to ``stick'' on the world brane, even when the incoming branes bounce back into the bulk.

17 pages, 15 figures. New version has clearer discussion of boundary conditions, and corrects a typo

References in corpus (10)

• Eleven-Dimensional Supergravity on a Manifold with Boundary
• Modeling the fifth dimension with scalars and gravity
• Fermion zero-modes on brane-worlds
• Reheating from Tachyon Condensation
• Real-Time Dynamics with Fermions on a Lattice
• Collision of Domain Walls and Reheating of the Brane Universe
• Fermions on Colliding Branes
• Collision of Domain Walls in asymptotically Anti de Sitter spacetime
• Dynamics of colliding branes and black brane production
• Kink-boundary collisions in a two dimensional scalar field theory

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• Fermionic spectral walls in kink collisions
• False vacuum decay in kink scattering
• Cosmic bubble and domain wall instabilities II: Fracturing of colliding walls
• Degenerate vacua to vacuumless model and $K\bar{K}$ collisions
• Resonance mediated by fermions in kink-antikink collisions
• Fermion transfer in the ${\varphi }^4$ model with a half-BPS preserving impurity
• Colliding branes and big crunches
• Coupled scalar fields Oscillons and Breathers in some Lorentz Violating Scenarios
• Kink-antikink collision in the supersymmetric ${\varphi }^4$ model
• The fermion spectrum in braneworld collisions
• Fermions on wobbling kinks: normal versus quasinormal modes
• Violation of C/CP Symmetry Induced by a Scalar Field Emerging from a Two-Brane Universe: A Gateway to Baryogenesis
• Remarks on sine-Gordon kink--fermion system: localized modes and scattering
• I've Got the World on a Brane