Is the Schwinger correction to the electron magnetic moment unique?

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This paper demonstrates that the Schwinger correction to the electron magnetic moment is zero for an electron in a hydrogen atom, unlike in a constant magnetic field, indicating its field-dependent nature.

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The preprint examines whether the Schwinger (vacuum polarization) correction to the electron magnetic moment is unique, noting that in quantum electrodynamics it is typically computed for an electron in a constant external magnetic field. Using an alternative setup where the electron is bound within a hydrogen atom, the author demonstrates that the Schwinger correction is zero in this case, implying that the correction depends on the field configuration rather than being universal. The paper’s main limitation is that it is a preprint and does not provide peer-reviewed validation of the derivation. The paper does not explicitly discuss endometriosis or adenomyosis; it was included in the corpus via a keyword match in the upstream search index.

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Abstract

The Schwinger correction to the magnetic moment of an electron is proportional to the fine-structure constant and is due to the vacuum polarization. In quantum electrodynamics, the Schwinger correction is calculated by considering the electron placed in a constant magnetic field. In the present paper, the electron is considered to be in a hydrogen atom and it is demonstrated that the Schwinger correction is equal to zero in this case. Therefore, the Schwinger correction is not unique and depends upon the field in which the electron is located.
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Vitaly Golovko This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3467247/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract The Schwinger correction to the magnetic moment of an electron is proportional to the fine-structure constant and is due to the vacuum polarization. In quantum electrodynamics, the Schwinger correction is calculated by considering the electron placed in a constant magnetic field. In the present paper, the electron is considered to be in a hydrogen atom and it is demonstrated that the Schwinger correction is equal to zero in this case. Therefore, the Schwinger correction is not unique and depends upon the field in which the electron is located. Quantum electrodynamics Electron magnetic moment Schwinger correction Vector potential. Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. 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