https://doi.org/10.1140/epjc/s10052-025-14004-4
Letter
Scalar fields with impurities in arbitrary dimensions: first-order framework and exact solutions
1
Departamento de Física, Universidade Federal da Paraíba, 58051-970, João Pessoa, PB, Brazil
2
Departamento de Biotecnologia, Universidade Federal da Paraíba, 58051-900, João Pessoa, PB, Brazil
3
Departamento de Ciências Exatas, Universidade Federal da Paraíba, 58297-000, Rio Tinto, PB, Brazil
4
Departamento de Física, Universidade Federal de Campina Grande, 58109-970, Campina Grande, PB, Brazil
Received:
19
November
2024
Accepted:
24
February
2025
Published online:
12
March
2025
We study a class of scalar field models coupled to impurities in arbitrary spacetime dimensions. The system admits the introduction of a second-order tensor that can be forced to obey an equality, if a first-order differential equation is satisfied, compatible with the equation of motion when the potential engenders a very specific form. In the case of static solutions, the energy density of the system can equal the divergence of an auxiliary vector function, which is included to help us solve the model. Stability of the field configuration under rescale of argument is investigated, and the procedure is illustrated considering distinct canonical models. The results show that exact solutions can be obtained in arbitrary dimensions, related to the presence of the first-order equation.
© The Author(s) 2025
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