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arXiv · 2106.05153

Collective coordinate model of kink-antikink collisions in $ϕ^4$ theory

N. S. Manton·K. Oles·T. Romanczukiewicz·A. Wereszczynski
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Abstract

The fractal velocity pattern in symmetric kink-antikink collisions in $ϕ^4$ 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.

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N. S. Manton, K. Oles, T. Romanczukiewicz, A. Wereszczynski. 2021-07-14. Collective coordinate model of kink-antikink collisions in $ϕ^4$ theory. https://doi.org/10.1103/physrevlett.127.071601

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