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

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

1992-09-25

arxiv.org/abs/hep-ph/9209281v1

Phys.Rev. D47 (1993) 1324-1332

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevD.47.1324

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.

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