From Q walls to Q balls
Apr, 2001Citations per year
Abstract:
We study -ball type solitons in arbitrary spatial dimensions in the setting recently described by Kusenko, where the scalar field potential has a flat direction which rises much slower than . We find that the general formula for energy as a function of the charge is, in spatial dimension . We show that the Hamiltonian governing the stability analysis of certain -wall configurations, which are one dimensional -ball solutions extended to planar, wall-like configurations in three dimensions, can be related to supersymmetric quantum mechanics. -wall and -string (the corresponding extensions of 2 dimensional -balls in 3 spatial dimensions) configurations are seen to be unstable, and will tend to bead and form planar or linear arrays of 3 dimensional -balls. The lifetime of these wall-like and string-like configurations is, however, arbitrarily large and hence they could be of relevance to cosmological density fluctuations and structure formation in the early Universe.- soliton
- Q-ball
- any-dimensional
- stability
- quantum mechanics: supersymmetry
- numerical calculations
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