Kink-antikink collision in a Lorentz-violating ϕ4 model

Haobo Yan, Yuan Zhong*, Yu Xiao Liu, Kei ichi Maeda

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)


In this work, kink-antikink collision in a two-dimensional Lorentz-violating ϕ4 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 ϕ4 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 ϕ4 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 vc 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 languageEnglish
Article number135542
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Publication statusPublished - 2020 Aug 10


  • Kink collision
  • Lorentz-violating models
  • Spectral methods

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


Dive into the research topics of 'Kink-antikink collision in a Lorentz-violating ϕ4 model'. Together they form a unique fingerprint.

Cite this