Non-relativistic Reduction of Spinors, New Currents and their Algebra
High Energy Physics - Theory
2020-04-22 v2
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.
Keywords
Cite
@article{arxiv.1907.06343,
title = {Non-relativistic Reduction of Spinors, New Currents and their Algebra},
author = {Rabin Banerjee and Debashis Chatterjee},
journal= {arXiv preprint arXiv:1907.06343},
year = {2020}
}
Comments
19 pages, No figures V2 shortened, main results unchanged, version to appear in Nuclear Physics B