Resonance structures in kink-antikink scattering in a quantum vacuum

Abstract

We investigate kink-antikink scattering in the $\lambda {\varphi }^4$ model in the presence of an additional scalar field, $\psi$, that is in its quantum vacuum and interacts with $\varphi$ via a $\xi {\varphi }^2{\psi }^2$ term where $\xi$ is the coupling. The final state of such a scattering is either a bound state with eventual annihilation or a reflection of the kink-antikink pair. Without the $\psi$ field, the outcome is known to depend fractally on the initial velocity of the kink-antikink pair. In the quantum vacuum of the $\psi$ field, the fractal dependence gets modified and disappears above a critical interaction strength, $\xi \approx 0.1$.

arXiv comment11 pages, 9 figures, published version

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Cited by in corpus (5)

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• Geometrically constrained sine-Gordon field: BPS solitons and their collisions
• Creating kinks with quantum mediation
• Scattering of kinks in scalar-field models with higher-order self-interactions
• Evolution of a kink-antikink ensemble in a quantum vacuum