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arXiv · 2205.06869

Kink-antikink collision in the supersymmetric $\phi^4$ model

João G. F. Campos·Azadeh Mohammadi
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Abstract

This paper investigates a model containing $\phi^4$ kinks interacting with fermions. The fermion back-reaction is included in the equations of motion, which affects the kink-antikink collisions. We show that the fermion field generates a force that can be either attractive or repulsive. Moreover, we investigate three different scenarios, which exhibit a wide variety of behaviors including the usual scenarios observed in the $\phi^4$ model as well as the formation of two oscillons, reflection without contact, one-bounce resonance windows, and the creation of kink-antikink pairs. We also find evidence that the fermion field can store part of the energy responsible for the energy exchange mechanism.

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João G. F. Campos, Azadeh Mohammadi. 2022-05-13. Kink-antikink collision in the supersymmetric $\phi^4$ model. https://doi.org/10.1007/jhep08(2022)180

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