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arXiv · 1907.06343

Non-relativistic Reduction of Spinors, New Currents and their Algebra

Rabin Banerjee·Debashis Chatterjee
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Abstract

A specific mapping is introduced to reduce the Dirac action to the non-relativistic (Pauli - Schr\"odinger) action for spinors. Using this mapping, the structures of the vector and axial vector currents in the non-relativistic theory are obtained. The implications of the relativistic Ward identities in the non-relativistic limit are discussed. A new non-abelian type of current in the Pauli - Schr\"odinger theory is obtained. As we show, this is essential for the closure of the algebra among the usual currents. The role of parity in the non-relativistic theory is also discussed.

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Rabin Banerjee, Debashis Chatterjee. 2019-07-15. Non-relativistic Reduction of Spinors, New Currents and their Algebra. https://doi.org/10.1016/j.nuclphysb.2020.114994

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