Opening the Pandora’s box of quantum spinor fields
Abstract Lounesto’s classification of spinors is a comprehensive and exhaustive algorithm that, based on the bilinears covariants, discloses the possibility of a large variety of spinors, comprising regular and singular spinors and their unexpected applications in physics and including the cases of...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-02-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-018-5631-5 |
| _version_ | 1818512861285056512 |
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| author | L. Bonora J. M. Hoff da Silva R. da Rocha |
| author_facet | L. Bonora J. M. Hoff da Silva R. da Rocha |
| author_sort | L. Bonora |
| collection | DOAJ |
| description | Abstract Lounesto’s classification of spinors is a comprehensive and exhaustive algorithm that, based on the bilinears covariants, discloses the possibility of a large variety of spinors, comprising regular and singular spinors and their unexpected applications in physics and including the cases of Dirac, Weyl, and Majorana as very particular spinor fields. In this paper we pose the problem of an analogous classification in the framework of second quantization. We first discuss in general the nature of the problem. Then we start the analysis of two basic bilinear covariants, the scalar and pseudoscalar, in the second quantized setup, with expressions applicable to the quantum field theory extended to all types of spinors. One can see that an ampler set of possibilities opens up with respect to the classical case. A quantum reconstruction algorithm is also proposed. The Feynman propagator is extended for spinors in all classes. |
| first_indexed | 2024-12-10T23:52:56Z |
| format | Article |
| id | doaj.art-3fa0455ac63e472592a25844a8694b96 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-10T23:52:56Z |
| publishDate | 2018-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-3fa0455ac63e472592a25844a8694b962022-12-22T01:28:40ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-02-0178211510.1140/epjc/s10052-018-5631-5Opening the Pandora’s box of quantum spinor fieldsL. Bonora0J. M. Hoff da Silva1R. da Rocha2International School for Advanced Studies-SISSADepartamento de Física e Química, Universidade Estadual Paulista-UNESPCentro de Matemática, Computação e Cognição, Universidade Federal do ABC-UFABCAbstract Lounesto’s classification of spinors is a comprehensive and exhaustive algorithm that, based on the bilinears covariants, discloses the possibility of a large variety of spinors, comprising regular and singular spinors and their unexpected applications in physics and including the cases of Dirac, Weyl, and Majorana as very particular spinor fields. In this paper we pose the problem of an analogous classification in the framework of second quantization. We first discuss in general the nature of the problem. Then we start the analysis of two basic bilinear covariants, the scalar and pseudoscalar, in the second quantized setup, with expressions applicable to the quantum field theory extended to all types of spinors. One can see that an ampler set of possibilities opens up with respect to the classical case. A quantum reconstruction algorithm is also proposed. The Feynman propagator is extended for spinors in all classes.http://link.springer.com/article/10.1140/epjc/s10052-018-5631-5 |
| spellingShingle | L. Bonora J. M. Hoff da Silva R. da Rocha Opening the Pandora’s box of quantum spinor fields European Physical Journal C: Particles and Fields |
| title | Opening the Pandora’s box of quantum spinor fields |
| title_full | Opening the Pandora’s box of quantum spinor fields |
| title_fullStr | Opening the Pandora’s box of quantum spinor fields |
| title_full_unstemmed | Opening the Pandora’s box of quantum spinor fields |
| title_short | Opening the Pandora’s box of quantum spinor fields |
| title_sort | opening the pandora s box of quantum spinor fields |
| url | http://link.springer.com/article/10.1140/epjc/s10052-018-5631-5 |
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