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arxiv: 1711.07788 · v1 · pith:U5ZPJRVFnew · submitted 2017-11-20 · ✦ hep-th · cond-mat.mtrl-sci· math-ph· math.MP· nlin.PS

Scattering of kinks in a non-polynomial model

classification ✦ hep-th cond-mat.mtrl-scimath-phmath.MPnlin.PS
keywords modelnon-polynomialkink-likescatteringsolutionsstandardanalyticalappear
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We study a model described by a single real scalar field in the two-dimensional space-time. The model is specified by a potential which is non-polynomial and supports analytical kink-like solutions that are similar to the standard kink-like solutions that appear in the $\varphi^4$ model when it develops spontaneous symmetry breaking. We investigate the kink-antikink scattering problem in the non-polynomial model numerically and highlight some specific features, which are not present in the standard case.

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