Percolation of Domain Walls in the Two-Higgs Doublet Model

Abstract

Domain walls formed during a phase transition in a simple field theory model with ${\mathbb{Z}}_2$ symmetry in a periodic box have been demonstrated to annihilate as fast as causality allows and their area density scales $\propto t^{-1}$. We have performed numerical simulations of the dynamics of domain walls in the Two-Higgs Doublet Model (2HDM) where the potential has ${\mathbb{Z}}_2$ symmetry in two spatial dimensions. We observed significant differences with the standard case. Although the extreme long-time limit is the same for the $\approx 10^5$ sets of random initial configurations analysed, the percolation process is much slower due to the formation of long-lived loops. We suggest that this is due to the build up of superconducting currents on the walls which could lead ultimately to stationary configurations known as Kinky Vortons. We discuss the relevance of these findings for the production of Vortons in three spatial dimensions.

11 pages, 6 figures. Accepted for publication in Physics Letters B

References in corpus (9)

• Minkowski space structure of the Higgs potential in 2HDM: II. Minima, symmetries, and topology
• Domain Wall Constraints on Two Higgs Doublet Models with $Z_2$ Symmetry
• Vorton construction and dynamics
• Scaling Dynamics of Domain Walls in the Cubic Anisotropy Model
• Stable $Z$-strings with topological polarization in two Higgs doublet model
• Kinky Vortons
• Formation and evolution of kinky vortons
• A detailed study of the stability of vortons
• Charged and CP-violating Kink Solutions in the Two Higgs Doublet Model

Cited by in corpus (2)

• Complete Classification of Domain Wall Solutions in the ${\mathbb{Z}}_2$-symmetric 2HDM
• Chiral non-Abelian domain walls in the Ginzburg-Landau theory