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PreprintarXiv licencearXiv

Spin-spin effects from non-relativistic limit of Dirac-Pauli-Maxwell Lagrangian

  • Radmehr Fathi
  • Nima Khosravi
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Abstract

It is natural to expect that the electromagnetic spin-spin interaction has roots in a more fundamental theory: quantum electrodynamics in this case. To show this, we take the non-relativistic limit of the Dirac-Maxwell Lagrangian, using the Foldy-Wouthuysen transformation and derive the Breit interaction by an alternative approach. By adding the Pauli term (i.e., a higher-order interaction between spin and the electromagnetic field), we calculate the correction terms to electromagnetic spin-spin interactions in the non-relativistic limit. Finally, we study some of the physical effects of these terms regarding spin-spin interactions and spin-spin entanglements. Accordingly, we provide theoretical estimates that are not yet accessible with current experiments.

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Cite

BibTeXRIS
BibTeX
@misc{fathi2026spinspin,
  title = {{Spin-spin effects from non-relativistic limit of Dirac-Pauli-Maxwell Lagrangian}},
  author = {Radmehr Fathi and Nima Khosravi},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.28904},
  eprint = {2608.28904},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.28904},
}
RIS
TY  - UNPB
TI  - Spin-spin effects from non-relativistic limit of Dirac-Pauli-Maxwell Lagrangian
AU  - Radmehr Fathi
AU  - Nima Khosravi
PY  - 2026
DA  - 2026/08/28
PB  - arXiv
DO  - 10.48550/arxiv.2608.28904
UR  - https://arxiv.org/abs/2608.28904
AB  - It is natural to expect that the electromagnetic spin-spin interaction has roots in a more fundamental theory: quantum electrodynamics in this case. To show this, we take the non-relativistic limit of the Dirac-Maxwell Lagrangian, using the Foldy-Wouthuysen transformation and derive the Breit interaction by an alternative approach. By adding the Pauli term (i.e., a higher-order interaction between spin and the electromagnetic field), we calculate the correction terms to electromagnetic spin-spin interactions in the non-relativistic limit. Finally, we study some of the physical effects of these terms regarding spin-spin interactions and spin-spin entanglements. Accordingly, we provide theoretical estimates that are not yet accessible with current experiments.
ER  -