Kink Collisions in Curved Field Space

Abstract

We study bubble universe collisions in the ultrarelativistic limit with the new feature of allowing for nontrivial curvature in field space. We establish a simple geometrical interpretation of such collisions in terms of a double family of field profiles whose tangent vector fields stand in mutual parallel transport. This provides a generalization of the well-known flat field space limit of the free passage approximation. We investigate the limits of this approximation and illustrate our analytical results with a numerical simulations.

arXiv comment25 pages, 7 figures, Revised version modified to include Acknowledgements section

References in corpus (3)

• Quantization of Four-form Fluxes and Dynamical Neutralization of the Cosmological Constant
• A Wrinkle in Coleman - De Luccia
• Rapid Tunneling and Percolation in the Landscape

Cited by in corpus (11)

• Kink-kink and kink-antikink interactions with long-range tails
• Kink excitation spectra in the (1+1)-dimensional ${\phi }^8$ model
• Scattering of the ${\phi }^8$ kinks with power-law asymptotics
• Multi-kink collisions in the ${\varphi }^6$ model
• Kink-Antikink Collisions and Multi-Bounce Resonance Windows in Higher-Order Field Theories
• Boundary scattering in the ${\varphi }^6$ model
• Scalar triplet on a domain wall: an exact solution
• Kink-Antikink Collisions in the Periodic ${\phi }^4$ Model
• A Simple System For Coleman-De Luccia Transitions
• Kink Collision in the Noncanonical ${\phi }^6$ Model: A Model with Localized Inner Structures
• Forecasting constraints from the cosmic microwave background on eternal inflation