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

Arodź, H.; Klimas, P.; Tyranowski, T.

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

Authors

Arodź, H.

Klimas, P.

Tyranowski, T.

Description

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 $Φ$ in 2+1 dimensions with $U(Φ) = |Φ|$, and a real scalar field $ϕ$ in 1+1 dimensions with $U{ϕ) = ϕΘ(ϕ)$ where $Θ$ 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.
17 pages, 4 figures