Article Dans Une Revue Annales Henri Lebesgue Année : 2023

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

Résumé

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 many-body Dirac-Fock equation on the space of Hilbert-Schmidt operators.

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hal-03380577 , version 1 (15-10-2021)

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Jonas Lampart, Loïc Le Treust, Simona Rota Nodari, Julien Sabin. The Dirac-Klein-Gordon system in the strong coupling limit. Annales Henri Lebesgue, 2023, 6, pp.541-573. ⟨10.5802/ahl.171⟩. ⟨hal-03380577⟩
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