Kinks in higher-order polynomial models
Petr A. Blinov, Tatiana V. Gani, Alexander A. Malnev, Vakhid A. Gani,, Vladimir B. Sherstyukov
TL;DR
This paper derives exact formulas for kink solutions in polynomial scalar field models in (1+1) dimensions, analyzing their asymptotics, stability, and other properties to deepen understanding of topological defects.
Contribution
It provides explicit formulas for kink solutions with power-law asymptotics and analyzes their stability and other properties in polynomial models.
Findings
Exact formulas for kink solutions with power-law asymptotics
Analysis of stability potentials and zero modes
Characterization of kink properties such as centers of mass
Abstract
We consider a family of field-theoretic models with a real scalar field in (1+1)-dimensional space-time. The field dynamics in each model is determined by a polynomial potential with two degenerate minima. We obtain exact general formulas for kink solutions with power-law asymptotic behavior. We also write out formulas for the asymptotics of all found kinks. In addition, we analyze some other properties of the obtained kinks: stability potentials, zero modes, positions of the centers of mass.
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