Topological defects with power-law tails

Abstract

We study interactions of kinks and antikinks of the $(1+1)$-dimensional ${\phi }^8$ model. In this model, there are kinks with mixed tail asymptotics: power-law behavior at one infinity versus exponential decay towards the other. We show that if a kink and an antikink face each other in way such that their power-law tails determine the kink--antikink interaction, then the force of their interaction decays slowly, as some negative power of distance between them. We estimate the force numerically using the collective coordinate approximation, and analytically via Manton's method (making use of formulas derived for the kink and antikink tail asymptotics).

arXiv comment5 pages, 4 figures; Proceedings of the 2nd International Conference on Particle Physics and Astrophysics, Moscow, 10-14 October 2016

References in corpus (14)

• Kink-antikink collisions in the phi^6 model
• Kink interactions in the (1+1)-dimensional ${\phi }^6$ model
• Collective Coordinates in One-Dimensional Soliton Models Revisited
• Kink-antikink interactions in the double sine-Gordon equation and the problem of resonance frequencies
• Kink excitation spectra in the (1+1)-dimensional ${\phi }^8$ model
• Successive phase transitions and kink solutions in ${\varphi }^8$, ${\varphi }^{10}$, and ${\varphi }^{12}$ field theories
• Solitary Wave Interactions In Dispersive Equations Using Manton's Approach
• Physical dynamics of quasi-particles in nonlinear wave equations
• Scalar triplet on a domain wall: an exact solution
• Example of a self-consistent solution for a fermion on domain wall
• Non-BPS domain wall configurations in a supersymmetric model
• A remark on collisions of domain walls in a supersymmetric model
• On U(1)-charged domain walls
• Stable branches of a solution for a fermion on domain wall

Cited by in corpus (19)

• Long-range interactions of kinks
• Scattering of the double sine-Gordon kinks
• Multi-kink collisions in the ${\varphi }^6$ model
• Multi-kink scattering in the double sine-Gordon model
• Family of Potentials with Power-Law Kink Tails
• Classical transitions with the topological number changing in the early Universe
• Kink-Antikink Collisions in the Periodic ${\phi }^4$ Model
• Scattering of kinks in a non-polynomial model
• Logarithmic Potential with Super-Super-Exponential Kink Profiles and Tails
• A new look at the double sine-Gordon kink-antikink scattering
• Resonance phenomena in the ${\phi }^8$ kinks scattering
• Scattering of kinks in the $B{\phi }^4$ model
• Transitions between topologically non-trivial configurations
• Higher-order field theories: ${\varphi }^6$, ${\varphi }^8$ and beyond
• Explicit Kink Solutions in Several One-Parameter Family of Higher Order Field Theory Models
• Superposed Hyperbolic Kink and Pulse Solutions of Coupled ${\varphi }^4$, NLS and MKdV Equations
• Novel Deformation Function Creating or Destroying any Number of Even Kink Solutions
• From thin to thick domain walls: An example of the ${\phi }^8$ model
• Kink dynamics in a high-order field model