### Abstract

In this work, kink-antikink collision in a two-dimensional Lorentz-violating ϕ^{4} model is considered. It is shown that the Lorentz-violating term in the proposed model does not affect the structure of the linear perturbation spectrum of the standard ϕ^{4} model, and thus there exists only one vibrational mode. The Lorentz-violating term impacts, however, the frequency and spatial wave function of the vibrational mode. As a consequence, the well-known results on ϕ^{4} kink-antikink collision will also change. Collisions of kink-antikink pairs with different values of initial velocities and Lorentz-violating parameters are simulated using the Fourier spectral method. Our results indicate that models with larger Lorentz-violating parameters would have smaller critical velocities v_{c} and smaller widths of bounce windows. Interesting fractal structures existing in the curves of maximal energy densities of the scalar field are also found.

Original language | English |
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Article number | 135542 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 807 |

DOIs | |

Publication status | Published - 2020 Aug 10 |

### Keywords

- Kink collision
- Lorentz-violating models
- Spectral methods

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

^{4}model.

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,

*807*, [135542]. https://doi.org/10.1016/j.physletb.2020.135542