https://doi.org/10.1140/epjc/s10052-024-12671-3
Regular Article - Theoretical Physics
The role of scalar current coupling along surfaces
1
Instituto de Física e Química, Universidade Federal de Itajubá, Av. BPS 1303, Pinheirinho, 37500-903, Itajubá, MG, Brazil
2
Departamento de Física, Universidade Federal de Lavras, Caixa Postal 3037, 37200-900, Lavras, MG, Brazil
Received:
13
January
2024
Accepted:
10
March
2024
Published online:
27
March
2024
In this paper we propose a coupling between the complex scalar field and an external Dirac delta-like planar potential. The coupling is achieved through the Klein–Gordon current normal to the plane where the potential is concentrated. The results are obtained exactly and exhibit many peculiarities. We show that a complex scalar charge does not interact with the potential, but the potential modifies the interaction between two scalar charges if they are placed on opposite sides of the planar potential. When the coupling constant between the potential and the field goes to infinity, the classical field solutions satisfy a kind of MIT boundary conditions along the plane where the potential is concentrated.
© The Author(s) 2024
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