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

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.

arXiv comment10 pages, 9 figures; final/published version

References in corpus (43)

• Q-Balls and Baryogenesis in the MSSM
• Kink-antikink collisions in the phi^6 model
• Logarithmic nonlinearity in theories of quantum gravity: Origin of time and observational consequences
• Deformed Defects
• Kink interactions in the (1+1)-dimensional ${\phi }^6$ model
• Kink-kink and kink-antikink interactions with long-range tails
• Collective Coordinates in One-Dimensional Soliton Models Revisited
• Quantum Bose liquids with logarithmic nonlinearity: Self-sustainability and emergence of spatial extent
• Kink-antikink interactions in the double sine-Gordon equation and the problem of resonance frequencies
• Long-range interactions of kinks
• Kink excitation spectra in the (1+1)-dimensional ${\phi }^8$ model
• Scattering of the ${\phi }^8$ kinks with power-law asymptotics
• Forces between Kinks and Antikinks with Long-range Tails
• Scattering of kinks of the sinh-deformed ${\phi }^4$ model
• Scattering of the double sine-Gordon kinks
• Successive phase transitions and kink solutions in ${\varphi }^8$, ${\varphi }^{10}$, and ${\varphi }^{12}$ field theories
• Resonant kink-antikink scattering through quasinormal modes
• Spontaneous symmetry breaking and mass generation as built-in phenomena in logarithmic nonlinear quantum theory
• Search for anomalous Wtb couplings and flavour-changing neutral currents in t-channel single top quark production in pp collisions at sqrt(s) = 7 and 8 TeV
• Kink-Antikink Collisions and Multi-Bounce Resonance Windows in Higher-Order Field Theories
• Multi-kink scattering in the double sine-Gordon model
• Kink Dynamics in a Parametric ${\varphi }^6$ System: A Model With Controllably Many Internal Modes
• Highly interactive kink solutions
• Analytic Q-ball solutions and their stability in a piecewise parabolic potential
• Exact solutions, energy and charge of stable Q-balls
• 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
• An alternative to dark matter and dark energy: Scale-dependent gravity in superfluid vacuum theory
• Classical transitions with the topological number changing in the early Universe
• Resolving the puzzle of sound propagation in liquid helium at low temperatures
• Scalar triplet on a domain wall: an exact solution
• On the dynamical nature of nonlinear coupling of logarithmic quantum wave equation, Everett-Hirschman entropy and temperature
• Deformations of Kink Tails
• Nonlinear wave-mechanical effects in Korteweg fluid magma transport
• Temperature-driven dynamics of quantum liquids: Logarithmic nonlinearity, phase structure and rising force
• Collective coordinate approximation to the scattering of solitons in the (1+1) dimensional NLS model
• Fate of the true-vacuum bubbles
• Semi-compactness and multiple oscillating pulses in kink scattering
• Superfluid vacuum theory and deformed dispersion relations
• Superfluid stars and Q-balls in curved spacetime
• Charged Domain Walls
• Holographic principle and field-to-particle transition formalism in sigma model, dilaton gravity and supergravity: Point particle as end product of field theory and seed of string-brane approach

Cited by in corpus (7)

• Collisions of kinks in deformed ${\phi }^4$ and ${\phi }^6$ models
• Deformations of Kink Tails
• Topological structures in a non-canonical perturbative dynamics of a cuscuton-like model
• Scattering of kinks in the $B{\phi }^4$ model
• Kink scattering in the presence of geometric constrictions
• Bound States and Particle Production by Breather-Type Background Field Configurations
• Kink dynamics in a high-order field model