| Issue |
EPL
Volume 153, Number 1, January 2026
|
|
|---|---|---|
| Article Number | 14001 | |
| Number of page(s) | 7 | |
| Section | Nuclear and plasma physics, particles and fields | |
| DOI | https://doi.org/10.1209/0295-5075/ae1ab1 | |
| Published online | 02 January 2026 | |
Some of the many uses of scalar fields: Kinks, lumps, and geometric constraints
1 Departamento de Física, Universidade Federal da Paraíba - 58051-970 João Pessoa, PB, Brazil
2 Departamento de Ciências Exatas, Universidade Federal da Paraíba - 58297-000 Rio Tinto, PB, Brazil
Received: 19 June 2025
Accepted: 3 November 2025
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.
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