The role of scalar current coupling along surfaces
High Energy Physics - Theory
2025-07-22 v1 Nuclear Theory
Abstract
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.
Keywords
Cite
@article{arxiv.2507.15625,
title = {The role of scalar current coupling along surfaces},
author = {F. A. Barone and L. H. C. Borges and G. Flores-Hidalgo and H. L. Oliveira and W. Y. A. da Silva},
journal= {arXiv preprint arXiv:2507.15625},
year = {2025}
}
Comments
24 pages, 2 figures