Revisiting Takahashi's inversion theorem in discrete symmetry-based dual frameworks

Descripción del Articulo

The so-called Takahashi’s Inversion Theorem, the reconstruction of a given spinor based on its bilinear covariants, are re-examined, considering alternative dual structures. In contrast to the classical results, where the Dirac dual structure plays the central role, new duals are built using the dis...

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Detalles Bibliográficos
Autores: Coronado Villalobos, Carlos Hugo, Bueno Rogerio, R.J., Cavalcanti, R.T., Hoff da Silva, J.M.
Formato: artículo
Fecha de Publicación:2023
Institución:Universidad Tecnológica del Perú
Repositorio:UTP-Institucional
Lenguaje:inglés
OAI Identifier:oai:repositorio.utp.edu.pe:20.500.12867/7777
Enlace del recurso:https://hdl.handle.net/20.500.12867/7777
https://doi.org/10.1016/j.physleta.2023.129028
Nivel de acceso:acceso abierto
Materia:Discrete symmetry
Lounesto classification
Dual structure (Physics)
https://purl.org/pe-repo/ocde/ford#1.03.00
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dc.title.es_PE.fl_str_mv Revisiting Takahashi's inversion theorem in discrete symmetry-based dual frameworks
title Revisiting Takahashi's inversion theorem in discrete symmetry-based dual frameworks
spellingShingle Revisiting Takahashi's inversion theorem in discrete symmetry-based dual frameworks
Coronado Villalobos, Carlos Hugo
Discrete symmetry
Lounesto classification
Dual structure (Physics)
https://purl.org/pe-repo/ocde/ford#1.03.00
title_short Revisiting Takahashi's inversion theorem in discrete symmetry-based dual frameworks
title_full Revisiting Takahashi's inversion theorem in discrete symmetry-based dual frameworks
title_fullStr Revisiting Takahashi's inversion theorem in discrete symmetry-based dual frameworks
title_full_unstemmed Revisiting Takahashi's inversion theorem in discrete symmetry-based dual frameworks
title_sort Revisiting Takahashi's inversion theorem in discrete symmetry-based dual frameworks
author Coronado Villalobos, Carlos Hugo
author_facet Coronado Villalobos, Carlos Hugo
Bueno Rogerio, R.J.
Cavalcanti, R.T.
Hoff da Silva, J.M.
author_role author
author2 Bueno Rogerio, R.J.
Cavalcanti, R.T.
Hoff da Silva, J.M.
author2_role author
author
author
dc.contributor.author.fl_str_mv Coronado Villalobos, Carlos Hugo
Bueno Rogerio, R.J.
Cavalcanti, R.T.
Hoff da Silva, J.M.
dc.subject.es_PE.fl_str_mv Discrete symmetry
Lounesto classification
Dual structure (Physics)
topic Discrete symmetry
Lounesto classification
Dual structure (Physics)
https://purl.org/pe-repo/ocde/ford#1.03.00
dc.subject.ocde.es_PE.fl_str_mv https://purl.org/pe-repo/ocde/ford#1.03.00
description The so-called Takahashi’s Inversion Theorem, the reconstruction of a given spinor based on its bilinear covariants, are re-examined, considering alternative dual structures. In contrast to the classical results, where the Dirac dual structure plays the central role, new duals are built using the discrete symmetries C,P,T . Their combinations are also taken into account. Furthermore, the imposition of a new adjoint structure led us also to re-examine the representation of the Clifford algebra basis elements, uncovering new bilinear structures and a new Fierz aggregate. Those results might help construct theories for new beyond standard model fields
publishDate 2023
dc.date.accessioned.none.fl_str_mv 2023-10-25T22:32:19Z
dc.date.available.none.fl_str_mv 2023-10-25T22:32:19Z
dc.date.issued.fl_str_mv 2023
dc.type.es_PE.fl_str_mv info:eu-repo/semantics/article
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dc.identifier.issn.none.fl_str_mv 1873-2429
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12867/7777
dc.identifier.journal.es_PE.fl_str_mv Physics Letters A
dc.identifier.doi.none.fl_str_mv https://doi.org/10.1016/j.physleta.2023.129028
identifier_str_mv 1873-2429
Physics Letters A
url https://hdl.handle.net/20.500.12867/7777
https://doi.org/10.1016/j.physleta.2023.129028
dc.language.iso.es_PE.fl_str_mv eng
language eng
dc.relation.ispartofseries.none.fl_str_mv Physics Letters A;vol. 481
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dc.format.es_PE.fl_str_mv application/pdf
dc.publisher.es_PE.fl_str_mv Elsevier
dc.publisher.country.es_PE.fl_str_mv NL
dc.source.es_PE.fl_str_mv Repositorio Institucional - UTP
Universidad Tecnológica del Perú
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spelling Coronado Villalobos, Carlos HugoBueno Rogerio, R.J.Cavalcanti, R.T.Hoff da Silva, J.M.2023-10-25T22:32:19Z2023-10-25T22:32:19Z20231873-2429https://hdl.handle.net/20.500.12867/7777Physics Letters Ahttps://doi.org/10.1016/j.physleta.2023.129028The so-called Takahashi’s Inversion Theorem, the reconstruction of a given spinor based on its bilinear covariants, are re-examined, considering alternative dual structures. In contrast to the classical results, where the Dirac dual structure plays the central role, new duals are built using the discrete symmetries C,P,T . Their combinations are also taken into account. Furthermore, the imposition of a new adjoint structure led us also to re-examine the representation of the Clifford algebra basis elements, uncovering new bilinear structures and a new Fierz aggregate. Those results might help construct theories for new beyond standard model fieldsCampus Lima Centroapplication/pdfengElsevierNLPhysics Letters A;vol. 481info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/4.0/Repositorio Institucional - UTPUniversidad Tecnológica del Perúreponame:UTP-Institucionalinstname:Universidad Tecnológica del Perúinstacron:UTPDiscrete symmetryLounesto classificationDual structure (Physics)https://purl.org/pe-repo/ocde/ford#1.03.00Revisiting Takahashi's inversion theorem in discrete symmetry-based dual frameworksinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionTEXTC.Coronado_Articulo_2023.pdf.txtC.Coronado_Articulo_2023.pdf.txtExtracted texttext/plain30896http://repositorio.utp.edu.pe/bitstream/20.500.12867/7777/3/C.Coronado_Articulo_2023.pdf.txte482e0aec406dda1e0c37b88310c2ee5MD53THUMBNAILC.Coronado_Articulo_2023.pdf.jpgC.Coronado_Articulo_2023.pdf.jpgGenerated Thumbnailimage/jpeg21847http://repositorio.utp.edu.pe/bitstream/20.500.12867/7777/4/C.Coronado_Articulo_2023.pdf.jpg13f0ab5c1805e3c920d6e268b35d1617MD54ORIGINALC.Coronado_Articulo_2023.pdfC.Coronado_Articulo_2023.pdfapplication/pdf277829http://repositorio.utp.edu.pe/bitstream/20.500.12867/7777/1/C.Coronado_Articulo_2023.pdfc6a0c4bf968a468880b87c8a42747be3MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748http://repositorio.utp.edu.pe/bitstream/20.500.12867/7777/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD5220.500.12867/7777oai:repositorio.utp.edu.pe:20.500.12867/77772023-10-25 20:05:01.256Repositorio Institucional de la Universidad Tecnológica del Perúrepositorio@utp.edu.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Revisiting Takahashi's inversion theorem in discrete symmetry-based dual frameworks
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