| Issue |
EPL
Volume 121, Number 2, January 2018
|
|
|---|---|---|
| Article Number | 21001 | |
| Number of page(s) | 5 | |
| Section | The Physics of Elementary Particles and Fields | |
| DOI | https://doi.org/10.1209/0295-5075/121/21001 | |
| Published online | 20 March 2018 | |
Non-standard Dirac adjoint spinor: The emergence of a new dual
1 Universidade Estadual Paulista (Unesp), Faculdade de Engenharia, Guaratinguetá, Departamento de Física e Química - 12516-410, Guaratinguetá, SP, Brazil
2 Instituto de Fsica, Universidade Federal Fluminense (UFF) - 24210-346, Niteri, RJ, Brazil
Received: 21 November 2017
Accepted: 2 March 2018
In this present communication we provide a new derivation of the Dirac dual structure by employing a different approach from the originally proposed one. Following a general and rigorous mathematical process to compute the dual structure, we investigate if is possible to break the existing “rigidity” in its primordial formulation. For this task, firstly, we look towards to understand the core of the Dirac spinors construction (Dirac P. A. M., Proc. R. Soc. Lond. A, 117 (1928) 610). and then, we suggest to build an alternative dual structure for the Dirac spinor, which preserves an invariant norm under any 
transformation. Finally, we verify if the prominent physical content is maintained or if it is affected by such construction.
PACS: 11.10.-z – Field theory / 03.70.+k – Theory of quantized fields / 03.65.Fd – Algebraic methods
© EPLA, 2018
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