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This paper derives theoretical estimates for electromagnetic spin-spin interactions by taking the non-relativistic limit of the Dirac-Maxwell Lagrangian, specifically incorporating Pauli term corrections. The study focuses on fundamental quantum electrodynamics and entanglement effects that currently exceed experimental accessibility, offering a purely theoretical advancement in high-energy physics.
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Spin-spin effects from non-relativistic limit of Dirac-Pauli-Maxwell Lagrangian

arXiv2 min read

arXiv:2608.28904v1 Announce Type: new 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.

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.

Quantum Physics (quant-ph); Strongly Correlated Electrons (cond-mat.str-el); High Energy Physics - Theory (hep-th)

arXiv:2608.28904 [quant-ph]

(or arXiv:2608.28904v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2608.28904 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 209 words

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