Collective coordinate model of kink-antikink collisions in ${\varphi }^4$ theory

Abstract

The fractal velocity pattern in symmetric kink-antikink collisions in ${\varphi }^4$ theory is shown to emerge from a dynamical model with two effective moduli, the kink-antikink separation and the internal shape mode amplitude. The shape mode usefully approximates Lorentz contractions of the kink and antikink, and the previously problematic null-vector in the shape mode amplitude at zero separation is regularized.

the metric and potential of the effective model are now included

References in corpus (2)

• Collective Coordinates in One-Dimensional Soliton Models Revisited
• Spectral Walls in Soliton Collisions

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