The Dirac-Klein-Gordon system in the strong coupling limit
Analysis of PDEs
2021-10-19 v1
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.
Keywords
Cite
@article{arxiv.2110.09087,
title = {The Dirac-Klein-Gordon system in the strong coupling limit},
author = {Jonas Lampart and Loïc Le Treust and Simona Rota Nodari and Julien Sabin},
journal= {arXiv preprint arXiv:2110.09087},
year = {2021}
}