Some of the many uses of scalar fields: kinks, lumps, and geometric constraints
arXiv:2511.07360 · doi:10.1209/0295-5075/ae1ab1
Abstract
This perspective deals with real scalar fields in two-dimensional spacetime. We focus on models described by one and two real scalar fields, paying closer attention to kinks and lumps, which are localized structures of current interest in high energy physics and in other areas of nonlinear science. We briefly review some of the main results presented in the literature and then focus on some new issues concerning the compact and long-range behavior of solutions and the presence of geometric constraints, suggesting how they can be used in applications in other areas of nonlinear science.
arXiv comment7 pages, 3 figures. To appear in EPL
References in corpus (35)
- Localized nonlinear waves in systems with time- and space-modulated nonlinearities
- Kink-antikink collisions in the phi^6 model
- Solitons in systems of coupled scalar fields
- New Global Defect Structures
- Solitons with Cubic and Quintic Nonlinearities Modulated in Space and Time
- Kink-kink and kink-antikink interactions with long-range tails
- Degenerate Domain Wall Solutions in Supersymmetric Theories
- Bags, junctions, and networks of BPS and non-BPS defects
- Magnetic domain walls in constrained geometries
- Soliton Stability in Systems of Two Real Scalar Fields
- Long-range interactions of kinks
- Forces between Kinks and Antikinks with Long-range Tails
- Oscillon resonances and creation of kinks in particle collisions
- From Kinks to Compactons
- Kinks in a non-linear massive sigma model
- Geometrically Constrained Kinklike Configurations
- New Lump-like Structures in Scalar-field Models
- Highly interactive kink solutions
- Analytical study of kinklike structures with polynomial tails
- Radially symmetric scalar solitons
- The volume of a soliton
- The Simplest Oscillon and its Sphaleron
- Geometrically constrained kinklike configurations engendering long range, double exponential, half-compact and compact behavior
- Construction of topological defect networks with complex scalar fields
- Mechanism to induce geometric constriction on kinks and domain walls
- Spectral Methods for Coupled Channels with a Mass Gap
- Vacuum polarization energy of the Shifman-Voloshin soliton
- Global Defects in Field Theory with Applications to Condensed Matter
- Q-Balls in the presence of attractive force
- Super long-range kinks
- Geometrically constrained sine-Gordon field: BPS solitons and their collisions
- Creating Oscillons and Oscillating Kinks in Two Scalar Field Theories
- Long-range interaction of kinks in higher-order polynomial models
- Geometrically Constrained Localized Configurations: First-Order Framework and Analytical Solutions
- Geometrically constrained localized configurations engendering non-topological profile