# The Dirac-Klein-Gordon system in the strong coupling limit

@inproceedings{Lampart2021TheDS, title={The Dirac-Klein-Gordon system in the strong coupling limit}, author={Jonas Lampart and Loic Le Treust and S. Rota Nodari and Julien Sabin}, year={2021} }

We study the Dirac equation coupled to scalar and vector Klein-Gordon fields in the limit of strong coupling and large masses of the fields. We prove convergence of the solutions to those of a cubic non-linear Dirac equation, given that the initial spinors coincide. This shows that in this parameter regime, which is relevant to the relativistic mean-field theory of nuclei, the retarded interaction is well approximated by an instantaneous, local self-interaction. We generalize this result to a…

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