From thin to thick domain walls: An example of the ${\phi }^8$ model

Abstract

We demonstrate that for some certain values of parameters of the $(1+1)$-dimensional ${\phi }^8$ model, the kink solutions can be found from polynomial equations. For some selected values of the parameters we give the explicit formulas for the kinks in all topological sectors of the model. Based on the obtained algebraic equations, we show that in a special limiting case, kinks with power-law asymptotics arise in the model, describing, in particular, thick domain walls. Objects of this kind could be of interest for modern cosmology.

arXiv comment4 pages; Proceedings of the 5th International Conference on Particle Physics and Astrophysics (ICPPA-2020), Moscow, 5-9 October 2020

References in corpus (11)

• Long-range interactions of kinks
• Kink excitation spectra in the (1+1)-dimensional ${\phi }^8$ model
• Forces between Kinks and Antikinks with Long-range Tails
• Scattering of the ${\phi }^8$ kinks with power-law asymptotics
• Successive phase transitions and kink solutions in ${\varphi }^8$, ${\varphi }^{10}$, and ${\varphi }^{12}$ field theories
• Kink-Antikink Collisions and Multi-Bounce Resonance Windows in Higher-Order Field Theories
• Interaction between kinks and antikinks with double long-range tails
• Explicit kinks in higher-order field theories
• Family of Potentials with Power-Law Kink Tails
• Topological defects with power-law tails
• Forces Between Kinks in ${\varphi }^8$ Theory

Cited by in corpus (3)

• Explicit Kink Solutions in Several One-Parameter Family of Higher Order Field Theory Models
• Kink dynamics in a high-order field model
• Kinks scattering in deformed ${\phi }^6$ model