Non-relativistic reduction of spinors, new currents and their algebra
A specific mapping is introduced to reduce the Dirac action to the non-relativistic (Pauli - Schrödinger) 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 i...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2020-05-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321320300808 |
| _version_ | 1819026177427243008 |
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| author | Rabin Banerjee Debashis Chatterjee |
| author_facet | Rabin Banerjee Debashis Chatterjee |
| author_sort | Rabin Banerjee |
| collection | DOAJ |
| description | A specific mapping is introduced to reduce the Dirac action to the non-relativistic (Pauli - Schrödinger) 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 - Schrödinger 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. |
| first_indexed | 2024-12-21T05:22:26Z |
| format | Article |
| id | doaj.art-db2b782bdc8249e8a9f467106c572d3a |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-12-21T05:22:26Z |
| publishDate | 2020-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-db2b782bdc8249e8a9f467106c572d3a2022-12-21T19:14:47ZengElsevierNuclear Physics B0550-32132020-05-01954Non-relativistic reduction of spinors, new currents and their algebraRabin Banerjee0Debashis Chatterjee1S. N. Bose National Centre for Basic Science, Block - JD, Sector – III, Salt Lake City, Kolkata - 700 106, India; Corresponding author.Vijaygarh Jyotish Ray College, 8/2 Vijaygarh, Kolkata - 700 032, IndiaA specific mapping is introduced to reduce the Dirac action to the non-relativistic (Pauli - Schrödinger) 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 - Schrödinger 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.http://www.sciencedirect.com/science/article/pii/S0550321320300808 |
| spellingShingle | Rabin Banerjee Debashis Chatterjee Non-relativistic reduction of spinors, new currents and their algebra Nuclear Physics B |
| title | Non-relativistic reduction of spinors, new currents and their algebra |
| title_full | Non-relativistic reduction of spinors, new currents and their algebra |
| title_fullStr | Non-relativistic reduction of spinors, new currents and their algebra |
| title_full_unstemmed | Non-relativistic reduction of spinors, new currents and their algebra |
| title_short | Non-relativistic reduction of spinors, new currents and their algebra |
| title_sort | non relativistic reduction of spinors new currents and their algebra |
| url | http://www.sciencedirect.com/science/article/pii/S0550321320300808 |
| work_keys_str_mv | AT rabinbanerjee nonrelativisticreductionofspinorsnewcurrentsandtheiralgebra AT debashischatterjee nonrelativisticreductionofspinorsnewcurrentsandtheiralgebra |