Self-similarity for V-shaped field potentials - further examples

Details Self-similarity for V-shaped field potentials - further examples Self-similarity for V-shaped field potentials - further examples

2007-05-14

arxiv.org/abs/0705.1908v1

ActaPhys.Polon.B38:2537-2552,2007

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 4 figures

Scientific paper

Three new models with V-shaped field potentials $U$ are considered: a complex scalar field $X$ in 1+1 dimensions with $U(X)= |X|$, a real scalar field $\Phi$ in 2+1 dimensions with $U(\Phi) = |\Phi|$, and a real scalar field $\phi$ in 1+1 dimensions with $U{\phi) = \phi \Theta(\phi)$ where $\Theta$ is the step function. Several explicit, self-similar solutions are found. They describe interesting dynamical processes, for example, `freezing' a string in a static configuration.

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