Numerical Study of the Lowest Energy Configurations for Global String-Antistring Pairs

Abstract

We investigate the lowest energy configurations for string - antistring pairs at fixed separations by numerically minimizing the energy. We show that for separations smaller than a critical value, a region of false vacuum develops in the middle due to large gradient energy density. Consequently, well defined string - antistring pairs do not exist for such separations. We present an example of vortex - antivortex production by vacuum bubbles where this effect seems to play a dynamical role in the annihilation of the pair. We also study the dependence of the energy of an string-antistring pair on their separation and find deviations from a simple logarithmic dependence for small separations.

14 pages, in LATEX, 7 figures (not included)

Cited by in corpus (5)

• Strings with a confining core in a Quark-Gluon Plasma
• Resonant Production of Topological Defects
• Simulation of Vortex-Antivortex Pair Production in a Phase Transition with Explicit Symettry Breaking
• Well-separated soliton-antisoliton pairs with an adjoint Higgs field in 4D space
• Light in metric space-time and its deflection by the screw dislocation