Abstract
We describe non-relativistic limits of the 3D Proca and \(\sqrt {{\text{Proca}}} \) theories that yield spin-1 Schroedinger equations. Analogous results are found by generalized null reduction of the 4D Maxwell or complex self-dual Maxwell equations. We briefly discuss the extension to spin-2.
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Notes
The choice m = 0 corresponds to a standard null reduction, equivalent to supposing that all fields are independent of x–, and does not lead to a Schroedinger equation.
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ACKNOWLEDGMENTS
E.B. thanks the organizers of the SQS’2017 workshop for providing a stimulating atmosphere and offering a diverse scientific programme. The work of PKT is partially supported by the STFC consolidated grant ST/P000681/1.
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1The article is published in the original.
2Contribution to the proceedings of the International Workshop Supersymmetries and Quantum Symmetries SQS’2017, Dubna,July 31–August 5 2017.
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Bergshoeff, E.A., Rosseel, J. & Townsend, P.K. On Non-Relativistic 3D Spin-1 Theories. Phys. Part. Nuclei 49, 813–817 (2018). https://doi.org/10.1134/S1063779618050064
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DOI: https://doi.org/10.1134/S1063779618050064