TY - JOUR

T1 - Kink-antikink collision in a Lorentz-violating ϕ4 model

AU - Yan, Haobo

AU - Zhong, Yuan

AU - Liu, Yu Xiao

AU - Maeda, Kei ichi

N1 - Funding Information:
Yuan Zhong thanks Zhi Xiao for discussions on Lorentz violation. This work was supported by the National Natural Science Foundation of China (Grants No. 11847211 , 11605127 and 11875151 ), Fundamental Research Funds for the Central Universities (Grant No. xzy012019052 ), and China Postdoctoral Science Foundation (Grant No. 2016M592770 ). It was also supported in part by JSPS KAKENHI Grant Nos. JP17H06359 and JP19K03857 , and by Waseda University Grant for Special Research Projects (Project Nos. 2019C-254 and 2020C-270 ).
Publisher Copyright:
© 2020 The Author(s)

PY - 2020/8/10

Y1 - 2020/8/10

N2 - 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.

AB - 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.

KW - Kink collision

KW - Lorentz-violating models

KW - Spectral methods

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U2 - 10.1016/j.physletb.2020.135542

DO - 10.1016/j.physletb.2020.135542

M3 - Article

AN - SCOPUS:85086367910

VL - 807

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

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

SN - 0370-2693

M1 - 135542

ER -