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.
@article{arxiv.2106.05153,
title = {Collective coordinate model of kink-antikink collisions in $\phi^4$ theory},
author = {N. S. Manton and K. Oles and T. Romanczukiewicz and A. Wereszczynski},
journal= {arXiv preprint arXiv:2106.05153},
year = {2021}
}
Comments
the metric and potential of the effective model are now included