Analytical study of kinklike structures with polynomial tails

Abstract

This work deals with models described by a single real scalar field in two-dimensional spacetime. The aim is to propose potentials that support massless minima and investigate the presence of kinklike structures that engender polynomial tails. The results unveil the presence of families of asymmetric solutions with energy density and linear stability that behave adequately, enhancing the importance of the analytical study. We stress that the novel topological structures which we find in this work engender long range interactions that are of current interest to statistical mechanics, dipolar quantum gases and the study of quantum information with Rydberg atoms.

arXiv comment7 pages, 3 figures

References in corpus (31)

• Quantum information with Rydberg atoms
• The physics of dipolar bosonic quantum gases
• Statistical mechanics and dynamics of solvable models with long-range interactions
• Kink-antikink collisions in the phi^6 model
• Self-consistent crystalline condensate in chiral Gross-Neveu and Bogoliubov-de Gennes systems
• A Bogomol`nyi equation for intersecting domain walls
• New Global Defect Structures
• Deformed Defects
• Thick domain wall spacetimes with and without reflection symmetry
• 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
• Scattering of kinks of the sinh-deformed ${\phi }^4$ model
• Successive phase transitions and kink solutions in ${\varphi }^8$, ${\varphi }^{10}$, and ${\varphi }^{12}$ field theories
• Tiling the plane without supersymmetry
• Kinks in a non-linear massive sigma model
• Could the primordial radiation be responsible for vanishing of topological defects?
• A Note on Asymmetric Thick Branes
• Suppression of two-bounce windows in kink-antikink collisions
• Highly interactive kink solutions
• Creating kinks from particles
• Models for asymmetric hybrid brane
• Kink-antikink collisions for twin models
• Soliton models for thick branes
• Intersoliton forces in the Wess-Zumino model
• How to build a compact brane
• Kinks and branes in models with hyperbolic interactions
• Exact bound states in volcano potentials
• From sine-Gordon to vacuumless systems in flat and curved spacetimes
• New models for asymmetric kinks and branes

Cited by in corpus (33)

• Kink-kink and kink-antikink interactions with long-range tails
• Long-range interactions of kinks
• Forces between Kinks and Antikinks with Long-range Tails
• Kink-Antikink Collisions and Multi-Bounce Resonance Windows in Higher-Order Field Theories
• Multi-kink scattering in the double sine-Gordon model
• Solvable self-dual impurity models
• Interaction between kinks and antikinks with double long-range tails
• Non-topological kink scattering in a two-component scalar field theory model
• Family of Potentials with Power-Law Kink Tails
• Collision of two kinks with inner structure
• Kink-Antikink Collisions in the Periodic ${\phi }^4$ Model
• Kink-antikink collisions in the ${\varphi }^8$ model: short-range to long-range journey
• Geometrically constrained kinklike configurations engendering long range, double exponential, half-compact and compact behavior
• Asymmetric kink scattering in a two-component scalar field theory model
• Fermions in the presence of topological structures under geometric constrictions
• Logarithmic Potential with Super-Super-Exponential Kink Profiles and Tails
• Wide Class of Logarithmic Potentials with Power-Tower Kink Tails
• Scattering of compactlike structures
• Collisions between kinks with long-range tails: a simple and efficient method
• Higher-order field theories: ${\varphi }^6$, ${\varphi }^8$ and beyond
• Super long-range kinks
• Quasi-compact vortices
• Novel lumplike structures
• Highly-enhanced propagation of long-range kinks in heterogeneous media
• Kinks in the relativistic model with logarithmic nonlinearity
• Stability Catalyzer for a Relativistic Non-Topological Soliton Solution
• Force between Kinks with Long-range Tails
• Analytical short- and long-range kink-like structures in scalar field models with polynomial interactions
• Some of the many uses of scalar fields: kinks, lumps, and geometric constraints
• Faster-Than-Light Solitons in 1 + 1 Dimensions
• Bound States and Particle Production by Breather-Type Background Field Configurations
• Introducing a Relativistic Nonlinear Field System With a Single Stable Non-Topological Soliton Solution in 1+1 Dimensions
• Compact, long-range and vacuumless regimes controlled by scalar fields in two-dimensional flat and five-dimensional warped geometries