Collective coordinate model of kink-antikink collisions in φ4 theory

Abstract

The fractal velocity pattern in symmetric kink-antikink collisions in φ4 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.

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