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THE DIRAC-KLEIN-GORDON SYSTEM IN THE STRONG COUPLING LIMIT

Abstract : 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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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03380577
Contributor : Simona Rota Nodari Connect in order to contact the contributor
Submitted on : Friday, October 15, 2021 - 4:21:05 PM
Last modification on : Tuesday, May 10, 2022 - 3:51:22 AM
Long-term archiving on: : Sunday, January 16, 2022 - 8:54:30 PM

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  • HAL Id : hal-03380577, version 1
  • ARXIV : 2110.09087

Citation

Jonas Lampart, Loïc Le Treust, Simona Rota Nodari, Julien Sabin. THE DIRAC-KLEIN-GORDON SYSTEM IN THE STRONG COUPLING LIMIT. 2021. ⟨hal-03380577⟩

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