Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-04-09
JHEP 0108:003,2001
Physics
High Energy Physics
High Energy Physics - Theory
20 pages, 2 figures
Scientific paper
10.1088/1126-6708/2001/08/003
We study $Q$-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 $\phi^2$. We find that the general formula for energy as a function of the charge is, $E_d\sim Q_d^{(d/d+1)}$ in spatial dimension $d$. We show that the Hamiltonian governing the stability analysis of certain $Q$-wall configurations, which are one dimensional $Q$-ball solutions extended to planar, wall-like configurations in three dimensions, can be related to supersymmetric quantum mechanics. $Q$-wall and $Q$-string (the corresponding extensions of 2 dimensional $Q$-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 $Q$-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.
MacKenzie R. B.
Paranjape M. B.
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