Chiral Dirac Equation and Its Spacetime and CPT Symmetries
The Dirac equation with chiral symmetry is derived using the irreducible representations of the Poincaré group, the Lagrangian formalism, and a novel method of projection operators that takes as its starting point the minimal assumption of four linearly independent physical states. We thereby demons...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-09-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/13/9/1608 |
| _version_ | 1797517153072578560 |
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| author | Timothy B. Watson Zdzislaw E. Musielak |
| author_facet | Timothy B. Watson Zdzislaw E. Musielak |
| author_sort | Timothy B. Watson |
| collection | DOAJ |
| description | The Dirac equation with chiral symmetry is derived using the irreducible representations of the Poincaré group, the Lagrangian formalism, and a novel method of projection operators that takes as its starting point the minimal assumption of four linearly independent physical states. We thereby demonstrate the fundamental nature of this form of the Dirac equation. The resulting equation is then examined within the context of spacetime and CPT symmetries with a discussion of the implications for the general formulation of physical theories. |
| first_indexed | 2024-03-10T07:10:51Z |
| format | Article |
| id | doaj.art-aabcd596a47743538820dacdec50606c |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T07:10:51Z |
| publishDate | 2021-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-aabcd596a47743538820dacdec50606c2023-11-22T15:27:21ZengMDPI AGSymmetry2073-89942021-09-01139160810.3390/sym13091608Chiral Dirac Equation and Its Spacetime and CPT SymmetriesTimothy B. Watson0Zdzislaw E. Musielak1Department of Physics, University of Texas at Arlington, Arlington, TX 76019, USADepartment of Physics, University of Texas at Arlington, Arlington, TX 76019, USAThe Dirac equation with chiral symmetry is derived using the irreducible representations of the Poincaré group, the Lagrangian formalism, and a novel method of projection operators that takes as its starting point the minimal assumption of four linearly independent physical states. We thereby demonstrate the fundamental nature of this form of the Dirac equation. The resulting equation is then examined within the context of spacetime and CPT symmetries with a discussion of the implications for the general formulation of physical theories.https://www.mdpi.com/2073-8994/13/9/1608Dirac equationchiralityspacetime symmetriesCPT symmetries |
| spellingShingle | Timothy B. Watson Zdzislaw E. Musielak Chiral Dirac Equation and Its Spacetime and CPT Symmetries Symmetry Dirac equation chirality spacetime symmetries CPT symmetries |
| title | Chiral Dirac Equation and Its Spacetime and CPT Symmetries |
| title_full | Chiral Dirac Equation and Its Spacetime and CPT Symmetries |
| title_fullStr | Chiral Dirac Equation and Its Spacetime and CPT Symmetries |
| title_full_unstemmed | Chiral Dirac Equation and Its Spacetime and CPT Symmetries |
| title_short | Chiral Dirac Equation and Its Spacetime and CPT Symmetries |
| title_sort | chiral dirac equation and its spacetime and cpt symmetries |
| topic | Dirac equation chirality spacetime symmetries CPT symmetries |
| url | https://www.mdpi.com/2073-8994/13/9/1608 |
| work_keys_str_mv | AT timothybwatson chiraldiracequationanditsspacetimeandcptsymmetries AT zdzislawemusielak chiraldiracequationanditsspacetimeandcptsymmetries |