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High Energy Physics - Theory

arXiv:2111.09096 (hep-th)
[Submitted on 17 Nov 2021]

Title:Kink solutions in logarithmic scalar field theory: Excitation spectra, scattering, and decay of bions

Authors:Ekaterina Belendryasova, Vakhid A. Gani, Konstantin G. Zloshchastiev
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Abstract:We consider the (1+1)-dimensional Lorentz-symmetric field-theoretic model with logarithmic potential having a Mexican-hat form with two local minima similar to that of the quartic Higgs potential in conventional electroweak theory with spontaneous symmetry breaking and mass generation. We demonstrate that this model allows topological solutions -- kinks. We analyze the kink excitation spectrum, and show that it does not contain any vibrational modes. We also study the scattering dynamics of kinks for a wide range of initial velocities. The critical value of the initial velocity occurs in kink-antikink collisions, which thus differentiates two regimes. Below this value, we observe the capture of kinks and their fast annihilation; while above this value, the kinks bounce off and escape to spatial infinities. Numerical studies show no resonance phenomena in the kink-antikink scattering.
Comments: 10 pages, 9 figures; final/published version
Subjects: High Energy Physics - Theory (hep-th); Pattern Formation and Solitons (nlin.PS)
Cite as: arXiv:2111.09096 [hep-th]
  (or arXiv:2111.09096v1 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2111.09096
Journal reference: Phys. Lett. B 823, 136776 (2021)
Related DOI: https://doi.org/10.1016/j.physletb.2021.136776

Submission history

From: Vakhid Gani [view email]
[v1] Wed, 17 Nov 2021 13:25:07 UTC (9,723 KB)
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