Impurity-doped scalar fields in arbitrary dimensions
arXiv:2310.09862 · doi:10.1016/j.physletb.2023.138262
Abstract
We investigate the presence of localized structures for relativistic scalar fields coupled to impurities in arbitrary spatial dimensions. Such systems present spatial inhomogeneity, realized through the inclusion of explicit coordinate dependence in the Lagrangian. It is shown that, in stark contrast to the impurity-free scenario, Derrick's argument does not present a strong hindrance to the existence of stable solutions in this case. Bogomol'nyi equations giving rise to global minima of the energy are found, and some of the ensuing BPS configurations are presented.
arXiv comment6 pages, 1 figure. To appear in PLB
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Cited by in corpus (6)
- Impurity-doped stable domain walls in spherically symmetric spacetimes
- Two-field models in the presence of impurities
- Scalar fields with impurities in arbitrary dimensions: first-order framework and exact solutions
- Generalized scalar field models in the presence of impurities
- Geometrically constrained multi-kink configurations in generalized impurity-doped field theories
- Half-BPS Impurity Backgrounds and Supersymmetry