Deformations of Kink Tails

Abstract

We study the asymptotic properties of kinks in connection with the deformation procedure. We show that, upon deformation of the field-theoretic model, the asymptotics of kinks can change or remain unchanged, depending on the properties of the deforming function. The cases of both explicit and implicit kinks are considered. In addition, we show that the the deformation procedure can be applied to the important case of implicit kinks. We also prove that for any kink with a power-law tail, the stability potential decreases as the inverse square of the coordinate. The physical consequences of the deformation are discussed: the change of the kink mass, as well as the asymptotic behavior of the kink-antikink force.

arXiv comment14 pages, 6 figures; v2: final/published version

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Cited by in corpus (4)

• Kink-Antikink Collisions and Multi-Bounce Resonance Windows in Higher-Order Field Theories
• Kink solutions in logarithmic scalar field theory: Excitation spectra, scattering, and decay of bions
• Asymmetric kink solutions of hyperbolically deformed model
• Thick branes via higher order field theory models with exponential and power-law tails