CPTM Symmetry for the Dirac Equation and Its Extended Version Based on the Vector Representation of the Lorentz Group
We revisit the CPT theorem for the Dirac equation and its extended version based on the vector representation of the Lorentz group. Then it is proposed that CPTM may apply to this fundamental equation for a massive fermion a s a singlet or a doublet with isospin. The symbol M stands here for reversi...
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2021-06-01
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| Series: | Frontiers in Physics |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2021.618392/full |
| _version_ | 1819295382020030464 |
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| author | E. Marsch Y. Narita |
| author_facet | E. Marsch Y. Narita |
| author_sort | E. Marsch |
| collection | DOAJ |
| description | We revisit the CPT theorem for the Dirac equation and its extended version based on the vector representation of the Lorentz group. Then it is proposed that CPTM may apply to this fundamental equation for a massive fermion a s a singlet or a doublet with isospin. The symbol M stands here for reversing the sign of the mass in the Dirac equation, which can be accomplished by operation on it with the so-called gamma-five matrix that plays an essential role for the chirality in the Standard Model. We define the CPTM symmetry for the standard and extended Dirac equation and discuss its physical implications and some possible consequences for general relativity. |
| first_indexed | 2024-12-24T04:41:19Z |
| format | Article |
| id | doaj.art-ba21e12b2c4b421cac79f39ed4cff4c1 |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-12-24T04:41:19Z |
| publishDate | 2021-06-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-ba21e12b2c4b421cac79f39ed4cff4c12022-12-21T17:14:48ZengFrontiers Media S.A.Frontiers in Physics2296-424X2021-06-01910.3389/fphy.2021.618392618392CPTM Symmetry for the Dirac Equation and Its Extended Version Based on the Vector Representation of the Lorentz GroupE. Marsch0Y. Narita1Extraterrestrial Physics Group, Institute for Experimental and Applied Physics, Christian Albrechts University at Kiel, Kiel, GermanySpace Research Institute, Austrian Academy of Sciences, Graz, AustriaWe revisit the CPT theorem for the Dirac equation and its extended version based on the vector representation of the Lorentz group. Then it is proposed that CPTM may apply to this fundamental equation for a massive fermion a s a singlet or a doublet with isospin. The symbol M stands here for reversing the sign of the mass in the Dirac equation, which can be accomplished by operation on it with the so-called gamma-five matrix that plays an essential role for the chirality in the Standard Model. We define the CPTM symmetry for the standard and extended Dirac equation and discuss its physical implications and some possible consequences for general relativity.https://www.frontiersin.org/articles/10.3389/fphy.2021.618392/fullCPT theoremDirac equationchiralitymass sign reversalbeyond standard model |
| spellingShingle | E. Marsch Y. Narita CPTM Symmetry for the Dirac Equation and Its Extended Version Based on the Vector Representation of the Lorentz Group Frontiers in Physics CPT theorem Dirac equation chirality mass sign reversal beyond standard model |
| title | CPTM Symmetry for the Dirac Equation and Its Extended Version Based on the Vector Representation of the Lorentz Group |
| title_full | CPTM Symmetry for the Dirac Equation and Its Extended Version Based on the Vector Representation of the Lorentz Group |
| title_fullStr | CPTM Symmetry for the Dirac Equation and Its Extended Version Based on the Vector Representation of the Lorentz Group |
| title_full_unstemmed | CPTM Symmetry for the Dirac Equation and Its Extended Version Based on the Vector Representation of the Lorentz Group |
| title_short | CPTM Symmetry for the Dirac Equation and Its Extended Version Based on the Vector Representation of the Lorentz Group |
| title_sort | cptm symmetry for the dirac equation and its extended version based on the vector representation of the lorentz group |
| topic | CPT theorem Dirac equation chirality mass sign reversal beyond standard model |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2021.618392/full |
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