Moduli space with a boundary

Abstract

We find that for various solitonic processes the corresponding canonical moduli space can have a boundary which is accessible in a finite time evolution. We show that such a boundary is not a failure of the moduli space approach but has a physical meaning. In our example, it corresponds to the complete annihilation of a colliding kink and antikink after a finite time. We further find that, close to the boundary, the solutions have an approximate self-similar form.

arXiv comment8 pages, 8 figures

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Cited by in corpus (2)

• Kink-antikink collisions in the ${\varphi }^8$ model: short-range to long-range journey
• Collisions between kinks with long-range tails: a simple and efficient method